Air Density Calculator
Calculate air density from pressure, temperature, and humidity using the ideal gas law. Includes altitude reference table and moist air corrections.
Dimensional analysis, unit conversion, and general physics reference calculators. Browse our free general physics tools below — no sign-up required.
Calculate air density from pressure, temperature, and humidity using the ideal gas law. Includes altitude reference table and moist air corrections.
Calculate the angle of repose for granular materials. Find pile height, volume, slope ratio, and stability from friction coefficient and density.
Calculate angle of twist, shear stress, and torsional stiffness for solid or hollow shafts under torque. Compare materials side by side.
Calculate signal attenuation through cables, fiber, or free space. Find total loss in dB, output power, and half-power distance with connector and splice losses.
Calculate ballistic coefficient, sectional density, drag force, and muzzle energy for projectiles. Compare G1/G7 models with built-in presets.
Calculate bank angle, turn radius, load factor, and turn rate for aircraft or vehicles in coordinated turns. Includes G-force and stall speed factor.
Explore the barn-pole (ladder) paradox of special relativity. Calculate Lorentz contraction, simultaneity gaps, and see why both frames give consistent but surprising results.
Calculate V-belt or flat belt length for two-pulley and crossed-belt drives. Find speed ratio, driven RPM, belt speed, and contact angle.
Calculate bend allowance, bend deduction, flat blank length, and outside setback for sheet metal bending. Supports multiple materials and K-factors.
Calculate exit pupil, twilight factor, field of view, and apparent target size for any binoculars. Compare models for birding, astronomy, and hunting.
Calculate the Biot number to determine if lumped capacitance analysis applies. Compare internal vs external thermal resistance for heat transfer problems.
Calculate Schwarzschild radius, Hawking temperature, photon sphere, ISCO, evaporation time, and time dilation for any black hole mass.
Calculate Wien peak wavelength, Stefan-Boltzmann power, Planck spectral radiance, and emission color for any temperature. Explore blackbody physics with star presets.
Calculate blast overpressure zones, damage radii, and fireball size for explosions using Hopkinson-Cranz scaling. Educational physics tool.
Calculate Boltzmann factors, population ratios, and partition functions for two-level systems. Explore thermal physics with temperature and energy presets.
Design a boost (step-up) DC-DC converter: calculate duty cycle, inductor current, ripple, critical inductance, and component stress for any input/output voltage.
Calculate final pressure or volume using Boyle's Law (P₁V₁ = P₂V₂). Supports kPa, atm, psi, bar, mmHg with isothermal work and compression ratio.
Calculate Bragg diffraction angle, d-spacing, or wavelength using nλ = 2d sin θ. Includes higher-order reflections, momentum transfer, and X-ray source reference.
Calculate the correct circuit breaker size, wire gauge, voltage drop, and power loss for any electrical load. NEC-compliant with AWG wire reference table.
Design a full-wave bridge rectifier: calculate DC output voltage, ripple, capacitor sizing, PIV, diode current, and efficiency for any AC input.
Calculate Brinell Hardness Number (BHN) from test force and indentation diameter. Includes material reference table and UTS estimation.
Calculate discharge, critical depth, crest velocity, and Froude number for broad-crested weirs. Includes approach velocity correction, H/L validity, and Cd reference.
Design a buck (step-down) DC-DC converter: calculate duty cycle, inductor ripple, critical inductance, efficiency, and component stress for any input/output voltage.
Explore the bug-rivet (barn-pole) paradox of special relativity. Calculate Lorentz contraction, time dilation, and frame-dependent simultaneity for any speed.
Calculate bulk modulus from pressure and volume changes or look up values for common materials. Includes compressibility and stiffness comparison chart.
Calculate vehicle center of mass from front and rear axle weights. Weight distribution percentage, CG position, and weight transfer analysis.
Calculate how far a car, motorcycle, or bike jumps off a ramp. Factors in launch angle, speed, ramp height, and landing elevation with trajectory analysis.
Calculate the correct carburetor CFM sizing for any engine. Factors in displacement, RPM, volumetric efficiency, and barrel count with common carb reference.
Calculate volume changes of a gas with temperature using Charles's Law (V₁/T₁ = V₂/T₂). Supports °C, °F, K with work done and gas law reference.
Calculate centripetal acceleration, force, angular velocity, period, bank angle, and g-force for uniform circular motion. Covers cars, coasters, satellites, centrifuges.
Estimate cloud base altitude from temperature and dewpoint spread or relative humidity. Includes AGL/MSL conversion, Henning formula, and pilot reference tables.
Calculate compressibility, bulk modulus, volume change, speed of sound, Mach number, and acoustic impedance for any material. Compare fluids, gases, and solids.
Calculate coefficient of performance for heat pumps, refrigerators, and air conditioners. Compare actual COP to Carnot limit with SEER/EER conversion.
Calculate the weight of copper wire by AWG gauge and length. Includes AWG reference table, resistance estimation, and material cost approximation.
Calculate redshift z from velocity or wavelengths. Compute recession velocity, Hubble distance, lookback time, scale factor, and CMB temperature at any epoch.
Calculate your 4×4 crawl ratio from transfer case, transmission, and axle ratios. Includes wheel torque, tractive force, grade ability, and speed at RPM.
Calculate audio crossover network component values for Butterworth and Linkwitz-Riley filters with 1st through 4th order designs.
Calculate the density of a cube from its side length and mass. Identify materials by comparing against a reference database of common substances.
Calculate the Curie constant, paramagnetic susceptibility, and Weiss molecular field for ferromagnetic and paramagnetic materials.
Calculate magnetic susceptibility using Curie's Law and the Curie–Weiss Law for paramagnetic and ferromagnetic materials at any temperature.
Calculate the density of a cylinder from diameter, height, and mass. Material identification, volume, surface area, and reference comparison table.
Calculate sunrise, sunset, daylight hours, and twilight durations for any latitude and day of the year using solar position equations.
Calculate the Debye screening length for electrolytes, plasmas, and semiconductors. Determine electrostatic screening distances and ionic strength.
Convert between decibels, power ratios, and voltage ratios. Combine sound levels, compare intensities, and explore dB scales.
Convert between delta (Δ) and wye (Y) resistor configurations for three-phase circuits with impedance ratios and power calculations.
Calculate rocket delta-v using the Tsiolkovsky equation. Determine propellant requirements, mass ratios, and mission feasibility for space travel.
Calculate density altitude from pressure altitude, temperature, and dew point. Aviation and athletics performance tool with impact reference table.
Calculate density from mass and volume with extensive unit conversions. Material database with 23+ substances for identification and comparison.
Solve for any of density, mass, or volume using the triangle relationship ρ = m/V. Unit conversions, material database, and visual triangle display.
Calculate mass from density and volume for cubes, spheres, cylinders, and boxes. Material database with comparison table for same-volume masses.
Convert density and volume to weight in Newtons, pounds-force, and kgf. Supports Earth, Moon, Mars, and Jupiter gravity with material comparison.
Calculate lens power in diopters, convert prescriptions between forms, compute focal lengths, and estimate contact lens power from spectacle Rx.
Calculate molecular dipole moments from charge and bond length. Convert between Debye, C·m, and esu·cm units with ionic character analysis.
Calculate displacement, velocity, and acceleration using kinematic equations. Supports 1D and 2D motion with time-evolution tables.
Calculate sound pressure level attenuation over distance for point and line sources with air absorption and atmospheric effects.
Calculate how far you can see to the horizon based on observer elevation, atmospheric refraction, and target height using Earth geometry.
Calculate mass-energy equivalence using Einstein's famous equation. Convert between mass and energy with TNT, kWh, MeV, and other unit conversions.
Calculate the curvature drop, bulge, and hidden height of objects over distance on a spherical Earth with optional refraction correction.
Calculate heat exchanger effectiveness using the ε-NTU method for counter-flow, parallel-flow, shell-and-tube, and crossflow configurations.
Calculate mechanical, electrical, or thermal efficiency from input and output power with energy cost analysis and COP for heat pumps.
Calculate Effective Isotropic Radiated Power from transmitter power, antenna gain, and cable losses with link budget and power density analysis.
Calculate electric dipole fields, potentials, torque, and energy. Convert between C·m and Debye units with distance-dependent field analysis.
Calculate electric potential, field strength, and potential energy for point charges with superposition, dielectric effects, and distance analysis.
Calculate charge carrier mobility, drift velocity, conductivity, diffusion coefficient, and relaxation time in semiconductors and conductors.
Calculate electrical power, current, voltage, and resistance with power factor correction, 3-phase support, energy cost analysis, and wire sizing.
Calculate material elongation, stress, strain, and safety factor under tensile load using Hooke's law with force-elongation analysis.
Calculate engine displacement from bore, stroke, and cylinder count in cc, liters, and cubic inches with compression ratio and efficiency analysis.
Calculate Euler critical buckling load, Johnson formula, slenderness ratio, safety factor, and effective length for columns. Includes end-condition K factors.
Calculate water evaporation rate from surface area, temperature, humidity, and wind speed with daily loss estimates and cooling power analysis.
Calculate total charge, surface potential, electric field, and electrostatic energy from excess electrons on a conductor with dielectric analysis.
Calculate exhaust pipe diameter from flow rate, temperature, and target velocity with standard pipe sizing, Reynolds number, and pressure drop analysis.
Calculate factor of safety from yield strength, ultimate strength, or buckling load with utilization ratio, margin of safety, and industry standard comparisons.
Calculate fan power, airflow, static pressure, brake horsepower, and energy cost with fan affinity laws, efficiency analysis, and RPM scaling.
Calculate semiconductor Fermi level position, carrier concentrations, and intrinsic properties from band gap, doping, and temperature with band diagram visualization.
Compare distances calculated using flat-earth Euclidean projection versus spherical Haversine formula to see how curvature affects real-world navigation.
Design flyback converters by computing turns ratio, duty cycle, magnetizing inductance, peak currents, and component stress for isolated DC-DC power supplies.
Design forward converter power supplies with turns ratio, duty cycle, output inductor, capacitor sizing, and MOSFET stress calculations.
Calculate free space path loss, received signal power, link margin, and maximum range for RF links using the Friis transmission equation.
Calculate Fresnel zone radii, required clearance heights, and Earth bulge for line-of-sight radio, microwave, and optical links.
Calculate the Froude number for open-channel flow, ship hull speed, and hydraulic engineering to determine subcritical or supercritical flow regimes.
Calculate torques, mechanical advantage, balance conditions, and required forces for first, second, and third class levers around a fulcrum.
Calculate ideal gas density from molar mass, temperature, and pressure using ρ = PM/(RT). Presets for 12 common gases with comparison chart.
Calculate pressure changes with temperature at constant volume using Gay-Lussac's Law (P₁/T₁ = P₂/T₂) for ideal gas behavior.
Calculate generator kVA, current, torque, fuel consumption, and mechanical input power for single-phase and three-phase electrical generators.
Calculate gold weight in grams, troy ounces, and pennyweights. Karat purity analysis with value estimation for coins, bars, and jewelry.
Convert between mass, volume, and density in g/cm³ (g/cc), kg/m³, and lb/ft³. Includes a material density reference table and buoyancy check.
Calculate the Hall coefficient, Hall voltage, carrier concentration, and mobility for semiconductors and conductors in a magnetic field.
Calculate the inductance, wire length, DC resistance, Q factor, and self-resonant frequency of a helical (solenoid) coil using the Nagaoka correction.
Calculate the resonant frequency, Q factor, and bandwidth of a Helmholtz resonator from cavity volume and neck dimensions for acoustics and audio design.
Design RC and RL high-pass filters by calculating cutoff frequency, gain, phase shift, rolloff rate, and frequency response table.
Calculate energy levels, transition wavelengths, orbital radii, and spectral series for hydrogen-like atoms using the Bohr model.
Calculate delta-v, exhaust velocity, mass ratio, and propellant fraction using the Tsiolkovsky rocket equation with mission Δv comparisons.
Calculate apparent weight and buoyant force for objects submerged in any fluid. Archimedes principle with 9-fluid comparison and force-balance visual.
Calculate insertion loss in dB, power transmission percentage, cable loss, and signal budget for RF connectors, cables, splices, and components.
Calculate relativistic travel times to nearby stars with constant acceleration or cruise speed. Includes time dilation, ship vs Earth time, and interstellar destination table.
Calculate intrinsic carrier concentration (ni), Fermi level, and thermal voltage for semiconductors like Si, Ge, and GaAs at any temperature.
Calculate how light, sound, radiation, or gravity intensity changes with distance using the inverse square law, with dB change and distance tables.
Design an inverting buck-boost converter by calculating duty cycle, inductance, output capacitance, switch stress, and power budget.
Convert mass in kilograms to weight in newtons on Earth, Moon, Mars, Jupiter, and other planets with force unit conversions.
Calculate the Knudsen number to determine gas flow regime — continuum, slip, transition, or free molecular — from mean free path and characteristic length.
Calculate kVA, kW, kVAR, current, and power factor for single-phase and three-phase electrical systems with power triangle visualization.
Calculate how far away lightning struck from the flash-to-thunder delay, with safety zone assessment, storm tracking, and temperature-corrected speed of sound.
Calculate the log mean temperature difference (LMTD) for heat exchangers in counterflow and parallel flow, with required area and effectiveness.
Design RC and RL low-pass filters by calculating cutoff frequency, gain, phase shift, rolloff rate, rise time, and frequency response table.
Calculate the intensity of polarized light after passing through an analyzer at any angle using Malus's law, with multi-polarizer chain analysis.
Calculate density from mass and volume, or solve for any variable in ρ = m/V. Material identification with 12-material comparison scale.
Calculate the mean free path of gas molecules from temperature, pressure, and molecular diameter, with collision frequency and gas property tables.
Calculate mixed air temperature, humidity, enthalpy and dew point when two airstreams combine in HVAC systems, with mixing ratio sweep table.
Calculate humidity mixing ratio, specific humidity, absolute humidity, dew point, enthalpy, and moist air density from temperature, RH, and pressure.
Calculate AM, FM, and PM modulation index, bandwidth (Carson's rule), sideband frequencies, carrier power, and efficiency for radio signals.
Calculate principal stresses, max shear stress, and rotated stress components using Mohr's circle. Includes Von Mises and Tresca failure criteria.
Calculate MOSFET drain current, operating region, power dissipation, transconductance, and thermal estimates for N-channel and P-channel devices.
Calculate 555 timer astable frequency, duty cycle, period, and component values. Includes reverse design from target frequency and E24 resistor matching.
Calculate temperature over time, time to reach a target temperature, or find the cooling constant using Newton's law of cooling with exponential decay.
Calculate force, mass, or acceleration using F = ma. Includes friction, incline, kinematics, momentum, kinetic energy, and G-force analysis.
Analyze action-reaction force pairs in collisions, contact forces, and gravitational interactions. Computes impulse, momentum, G-force, and kinetic energy.
Calculate Net Positive Suction Head Available (NPSHa) to prevent pump cavitation. Includes vapor pressure table, margin analysis, and max suction lift.
Calculate particle number density n = N/V from particle count, pressure and temperature, or mass density. Log-scale comparison from interstellar space to solids.
Calculate the Nusselt number, Reynolds, Prandtl, heat transfer coefficient for pipe flow and flat plate using Dittus-Boelter and Gnielinski correlations.
Calculate oblique shock wave angle, downstream Mach number, pressure/density/temperature ratios, and stagnation pressure loss for supersonic flow.
Explore why the night sky is dark despite infinite stars. Calculate sky coverage, mean free path to stars, redshift dimming, and effective brightness fraction.
Calculate optical density, transmittance, and absorbance using Beer-Lambert law. ND filter comparison table with f-stop equivalents for photography.
Convert between dynamic (Poise, Pa·s, cP) and kinematic (Stokes, cSt, mm²/s) viscosity units. Includes Saybolt conversion and common fluid reference table.
Calculate laminar flow rate, pressure drop, velocity profile, and flow resistance in cylindrical tubes using Poiseuille's equation. Essential for blood flow and pipe sizing.
Calculate Poisson's ratio from strain, moduli pairs, or direct input. Derives shear and bulk modulus with 14-material comparison table.
Calculate polar moment of inertia J for solid/hollow shafts, square and rectangular tubes. Compute shear stress, twist angle, and torsional stiffness.
Convert mass flow rate between lb/min, kg/s, GPM, L/min, and m³/h. Includes pipe velocity estimation and quick conversion reference table.
Calculate electrical power dissipation, junction temperature, and thermal derating from voltage, current, and resistance. Includes package thermal reference table.
Calculate the Prandtl number from fluid properties. Compare thermal and momentum diffusivities, boundary layer ratios, and regime classification for heat transfer analysis.
Calculate Prandtl-Meyer expansion fan properties: downstream Mach number, isentropic pressure/temperature/density ratios, and PM function values.
Calculate propeller pitch speed, tip speed, tip Mach number, advance ratio, and pitch angle for RC, drone, aircraft, and boat propellers.
Calculate propeller slip percentage from pitch speed and actual speed. Estimate efficiency and compare to typical slip ranges for aircraft, boats, and drones.
Convert pressure between PSI, kPa, bar, atm, mmHg, inHg, and more. Calculate force on area and water depth equivalent with reference table.
Estimate quarter-mile ET and trap speed from horsepower and weight. Includes 0-60, 1/8 mile, drivetrain loss, altitude correction, and drag racing records.
Calculate radar line-of-sight horizon distance from antenna and target heights. Includes atmospheric refraction (k-factor), Fresnel zone, and target height lookup table.
Calculate reduced mass μ = m₁m₂/(m₁+m₂) for two or three bodies. Supports kg, amu, electron masses with reference table of common systems.
Size capillary tubes for refrigeration systems. Calculate required length and diameter from cooling capacity, refrigerant type, and operating temperatures.
Calculate relativistic kinetic energy from velocity or vice versa. Compute Lorentz factor, momentum, total energy, time dilation, and classical KE error.
Calculate RT60 reverberation time using Sabine and Eyring equations. Add room surfaces with absorption coefficients, assess speech intelligibility, and reference α values.
Calculate total rocket thrust from mass flow rate, exhaust velocity, and nozzle pressures. Includes Isp, thrust coefficient, and propellant comparison table.
Convert between Rockwell C, Rockwell B, Vickers, and Brinell hardness scales with tensile strength estimation using ASTM E140 conversion data.
Convert between SCFM and ACFM for compressed air systems. Accounts for temperature, pressure, and humidity corrections with pipe sizing reference.
Calculate minimum shaft diameter from torque or power/RPM with shock factors, hollow shaft support, and material comparison table.
Calculate diode current from voltage using the Shockley equation. Includes ideality factor, thermal voltage, dynamic resistance, and I-V sweep mode.
Calculate SiPM photon detection efficiency, fired microcells, saturation, signal-to-noise ratio, and dark count correction for silicon photomultiplier sensors.
Calculate electromagnetic skin depth for conductors at any frequency. Includes AC resistance ratio, shielding depth, and material comparison table.
Calculate column slenderness ratio, Euler buckling stress, and AISC design capacity for various cross sections and end conditions.
Calculate projected image size, brightness, and lens placement for a DIY smartphone projector. Includes lens comparison and contrast analysis.
Calculate interstellar travel time with constant acceleration, time dilation, and energy requirements. Includes relativistic proper time and destination reference.
Calculate the specific gas constant, cp, cv, density, and speed of sound for any gas. Includes comprehensive gas property reference table.
Calculate the density of a sphere from its diameter and mass, or find mass or diameter given density. Includes material matching and moment of inertia.
Convert stellar parallax to distance in parsecs, light-years, and AU. Compute absolute magnitude, luminosity, and distance modulus with Gaia-era accuracy.
Generate element stiffness matrices for spring, truss, and beam elements in FEA. Visualizes the matrix with DOF labels and material properties.
Calculate terminal settling velocity and drag force for spherical particles in viscous fluids. Includes Reynolds number check and multi-fluid comparison.
Calculate total stopping distance from speed, reaction time, road friction, and grade. Includes speed comparison table and surface friction reference.
Calculate solar altitude, azimuth, zenith angle, and shadow length for any location, date, and time. Includes hourly sun path table.
Calculate sunrise, sunset, day length, and civil twilight for any location and date. Includes monthly sunrise/sunset table and polar day/night detection.
Calculate sunset time, twilight phases, golden hour, and monthly sunset table for any location. Includes civil, nautical, and astronomical twilight.
Solve any SUVAT kinematics equation — enter 3 of 5 variables (s, u, v, a, t) and calculate the remaining two. Includes velocity profile and motion table.
Calculate the synodic period between two orbiting bodies. Includes angular velocity, alignment frequency, and planetary synodic period reference table.
Calculate true field of view, magnification, exit pupil, and resolving power for any telescope and eyepiece combination. Includes eyepiece comparison table.
Calculate work, heat, internal energy change, and entropy for isothermal, isobaric, isochoric, and adiabatic processes. Includes energy balance visualization.
Calculate reflectance, transmittance, and spectral response of thin film optical coatings. Includes AR coating design, spectral plot, and material reference.
Calculate thrust-to-weight ratio (TWR) for rockets, aircraft, and drones. Includes multi-engine support, gravity selection, acceleration, and payload estimates.
Convert between energy (joules, kWh, calories) and TNT equivalent mass. Includes blast radius estimation and explosion reference table.
Race different rolling objects down a ramp. Calculate moment of inertia for solid and hollow cylinders, spheres, and toilet paper rolls. See which shape wins!
Calculate the torsional constant (J) for solid circles, hollow tubes, rectangles, and I-beams. Includes shear stress, twist angle, and formula reference.
Calculate torsional stiffness (k = GJ/L) for shafts, springs, and torsion bars. Includes deflection, natural frequency, and length comparison table.
Calculate BJT operating point (Ic, Vce, Vb, Ve) for voltage divider, collector feedback, and emitter feedback biasing. Includes β sensitivity table.
Calculate gear ratios, output RPM, torque multiplication, and power loss for single and two-stage gear trains with efficiency. Includes automotive gear reference.
Calculate rifle barrel twist rate stability using Greenhill and Miller formulas. Includes bullet RPM, stability factor, and twist comparison table.
Calculate Hubble recession velocity, redshift, lookback time, and Hubble tension for cosmic distances. Includes notable cosmic objects reference table.
Calculate Vickers hardness (HV) from force and diagonal measurements. Convert to Rockwell, Brinell, and tensile strength with material identification.
Calculate density from volume and mass with shape-based volume input, material identification, specific gravity, and buoyancy analysis for 22+ materials.
Convert volume to mass using material density. Supports 30+ materials, 5 shape modes, and multiple unit systems with weight comparison tables.
Calculate water density at any temperature (0–100°C), salinity, and pressure. Includes anomalous expansion, viscosity, speed of sound, and density vs temperature table.
Calculate peak wavelength from temperature (or vice versa) using Wien's displacement law. Includes spectral distribution, Stefan-Boltzmann power, and color visualization.
Calculate wind correction angle (WCA), ground speed, crosswind, headwind/tailwind components for aviation navigation. Includes wind direction comparison table.
Calculate wind pressure and force on structures using ASCE 7 methodology. Includes exposure categories, height profile, and speed comparison table.
Calculate wing loading, aspect ratio, lift coefficients, and stall speed at bank angles. Includes aircraft reference table from paragliders to fighters.
Calculate first cell height for CFD mesh y⁺ requirements. Includes Reynolds number, friction velocity, boundary layer region guide, and y⁺ reference table.
Calculate Young's modulus from stress and strain, force and extension, or derive stress/strain from known E. Includes material database and unit conversion.