Physics
Mechanics, electricity, optics, thermodynamics. Units (length, mass, etc.) according to the header.
Mechanics
Angular momentum
L = I·ω.
Use calculator →Angular velocity
ω = 2π/T or ω = 2πf.
Use calculator →Centripetal acceleration
a = v²/r.
Use calculator →Centripetal force
F = m·v²/r.
Use calculator →Change in momentum (impulse)
Δp = F·Δt.
Use calculator →Free fall time
t = √(2h/h).
Use calculator →Friction force
T = μ·N.
Use calculator →Gravitational acceleration g
g = G·M/r² (on the planet's surface).
Use calculator →Gravitational force
F = G·m₁·m₂/r².
Use calculator →Hooke's law (elastic force)
F = k·x.
Use calculator →Incline (no friction)
a = g·sin(α).
Use calculator →Lever equilibrium
F₁·r₁ = F₂·r₂.
Use calculator →Linear from angular velocity
v = ω r.
Use calculator →Moment of inertia (point mass)
I = m r².
Use calculator →Period of simple pendulum
T = 2π√(l/g).
Use calculator →Power from force and velocity
P = F·v.
Use calculator →Pressure (p = F/S)
Pressure from force and area.
Use calculator →Projectile height
H = v₀²·sin²(α)/(2g).
Use calculator →Projectile range
Z = v₀²·sin(2α)/g.
Use calculator →Rotational kinetic energy
Ek = ½·I·ω².
Use calculator →Second cosmic velocity
v₂ = √(2GM/r).
Use calculator →Spring oscillation frequency
f = (1/(2π))√(k/m).
Use calculator →Uniform motion (distance)
s = v t.
Use calculator →Uniformly decelerated motion
s = v₀·t − ½·a·t².
Use calculator →Work from power and time
W = P·t.
Use calculator →Electricity
Capacitive reactance
Xc = 1/(2πfC).
Use calculator →Capacitor stored energy
W = ½·C·U².
Use calculator →Current from power and voltage
I = P/U.
Use calculator →Current I = Q/t
I = charge/time.
Use calculator →Electric charge Q = I·t
Q = I × t.
Use calculator →Electric field from charge
E = k·Q/r².
Use calculator →Electrical work W = U·I·t
Work (energy) of electric current.
Use calculator →Equivalent capacitance (parallel)
C = C₁ + C₂.
Use calculator →Equivalent capacitance (series)
1/C = 1/C₁ + 1/C₂.
Use calculator →Inductive reactance
XL = 2πfL.
Use calculator →Joule's law (heat)
Q = I²·R·t.
Use calculator →Power loss (Joule heat)
P = I²·R.
Use calculator →Resistance from Ohm's law
R = U/I.
Use calculator →Voltage from power and current
U = P/I.
Use calculator →Voltage ratio (transformer)
U₁/U₂ = n₁/n₂.
Use calculator →Work in electric field
W = q·U.
Use calculator →Thermodynamics and energy
Waves and optics
Other
Acceleration
a = delta v/t.
Use calculator →Average speed
v = s/t (distance over time).
Use calculator →Buoyancy force
Archimedes: F = ρ·g·V.
Use calculator →Capacitance
C = Q/U.
Use calculator →Capacitor energy
W = ½ C U².
Use calculator →Coulomb force
F = k·q₁q₂/r².
Use calculator →Density
ρ = m/V.
Use calculator →Doppler effect
Changing the frequency.
Use calculator →Efficiency
η = P_out / P_in.
Use calculator →Elastic energy
Es = ½ k x².
Use calculator →Electric potential
V = W/q.
Use calculator →Electromagnetic induction
emf = -dΦ/dt.
Use calculator →Engine power (kW)
P = F·v.
Use calculator →Engine work
W = P·t.
Use calculator →Fall with air resistance
Terminal speed.
Use calculator →Field strength
E = F/q.
Use calculator →First cosmic velocity
v = √(GM/r).
Use calculator →Force (F = ma)
Newton's second law.
Use calculator →Free fall
h = ½ g t².
Use calculator →Friction coefficient
f = Y/N.
Use calculator →Heat (Q = m·c·ΔT)
Specific heat.
Use calculator →Horizontal throw
Throw range.
Use calculator →Hydrostatic pressure
p = ρ·g·h.
Use calculator →Impulse
J = F·Δt.
Use calculator →Kinetic energy
Ek = ½ m v².
Use calculator →Latent heat of fusion
Q = m·Lt.
Use calculator →Lens focal length
1/f = 1/x + 1/y.
Use calculator →Linear expansion
Δl = α·l·ΔT.
Use calculator →Lorentz force
F = B·I·l.
Use calculator →Momentum
Body momentum.
Use calculator →Ohm's law
U = I·R.
Use calculator →Optical magnification
p = y/x.
Use calculator →Oscillation period
T = 1/f.
Use calculator →Pendulum period
T = 2π√(l/g).
Use calculator →Photon energy
E = h·f.
Use calculator →Potential energy
Ep = m·g·h.
Use calculator →Power (current and voltage)
DC power.
Use calculator →Power from work and time
Average power.
Use calculator →Pressure (F/S)
Mechanical pressure.
Use calculator →Resistors in parallel
1/R = 1/R₁ + 1/R₂.
Use calculator →Resistors in series
R = R₁ + R₂ + ...
Use calculator →Resonance frequency
f = 1/(2π√(LC)).
Use calculator →Sound intensity
L = 10 log(I/I₀).
Use calculator →Stefan–Boltzmann law
P = σ·A·T⁴.
Use calculator →Torque
M = F·r.
Use calculator →Transformer
U₁/U₂ = n₁/n₂.
Use calculator →Uniform motion
s = v t.
Use calculator →Uniformly accelerated motion
s = v₀t + ½at².
Use calculator →Vertical throw
Altitude and time.
Use calculator →Wavelength
λ = v/f.
Use calculator →Wire resistance
R = ρ·l/S.
Use calculator →Work (force × distance)
Work of constant force.
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