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Physics formulas and calculators for kinematics, energy, and waves describing how objects move and interact in the physical world. Includes motion, force, momentum, and oscillatory system equations.

28Formulas
3Subcategories
Updated Oct 2026

Energy

Volumetric Thermal Expansion

delta_V = beta * V0 * delta_T

Energy

Root-Mean-Square Speed of Gas Molecules

v_rms = sqrt(3 * R * T / M)

Energy

Boltzmann Entropy Formula

S = k * ln(W)

Energy

Change in Entropy (Reversible Process)

delta_S = Q / T

Energy

Schwarzschild Radius

r_s = 2 * G * M / c^2

Kinematics

Relativistic Momentum

p = (m * v) / sqrt(1 - v^2/c^2)

Kinematics

Length Contraction (Special Relativity)

L' = L * sqrt(1 - v^2/c^2)

Kinematics

Time Dilation (Special Relativity)

t' = t / sqrt(1 - v^2/c^2)

Waves

Heisenberg Uncertainty Principle

delta_x * delta_p >= h_bar / 2

Waves

Planck's Energy-Frequency Relation

E = h * f

Waves

de Broglie Wavelength

lambda = h / p

Waves

Photoelectric Effect Equation

KE_max = h*f - phi

Waves

Wave Intensity

I = P / A

Waves

Doppler Effect (Sound, Moving Source)

f_observed = f_source * (v_sound / (v_sound - v_source))

Waves

Beat Frequency

f_beat = |f1 - f2|

Energy

Work Done by a Force

W = F * d * cos(theta)

Kinematics

Time of Flight (Projectile Motion)

t = 2 * v * sin(theta) / g

Kinematics

Projectile Maximum Height

H = v^2 * sin(theta)^2 / (2*g)

Kinematics

Projectile Range

R = v^2 * sin(2*theta) / g

Waves

Period of a Simple Pendulum

T = 2 * pi * sqrt(L / g)

Energy

Rotational Kinetic Energy

KE_rot = 0.5 * I * omega^2

Kinematics

Moment of Inertia (Point Mass)

I = m * r^2

Kinematics

Conservation of Momentum (Elastic Collision, 1D)

m1*v1 + m2*v2 = m1*v1' + m2*v2'

Kinematics

Impulse-Momentum Theorem

J = F * t = delta_p

Kinematics

Linear Momentum

p = m * v

Waves

Wave Speed Equation

v = fλ

Kinematics

Newton's Law of Universal Gravitation

F = Gm₁m₂ / r²

Kinematics

Equations of Motion (Constant Acceleration)

v = u + at