Physics Formulas - Mechanics

Kinematics Formulas

The Kinematic Equations apply to one-dimmensional motion with costant acceleration from point 1, situated d1 from a point of reference to point 2, situated d2 from the same point of reference. v1 is the velocity at point 1 and v2 is the velocity at point 2.

v2 = v1 + a·t

d2 = d1 + (v1 + v2)·t/2

d2 = d1 + v1·t + a·t2/2

d2 = d1 + v2·t - a·t2/2

v22 = v12 + 2a(d2 - d1)

Average velocity: vav = Δd/Δt

Average acceleration: aav = Δv/Δt

Rotational kinematics equations with constant angular acceleration:

ω2 = ω1 + α·t

Φ2 = Φ1 + (ω1 + ω2)·t/2

Φ2 = Φ1 + ω1·t + α·t2/2

Φ2 = Φ1 + ω2·t - α·t2/2

ω22 = ω12 + 2α(Φ2 - Φ1)

Average angular velocity: ωav = Δθ/Δt

Average angular acceleration: αav = Δω/Δt

Frequency: f = ω/2π

Period: T = 2π/ω

Relations between angular and linear variables:

l = Φ·r

v = ω·r

a = α·r

Dynamics Formulas

Pressure: P = F/A

Newton's Second Law: F = m·a

Force of kinetic friction: Ff = μ·N

Hooke's Law: F = -k·x

Centripetal Force: Fc = m·v2/R

Centripetal acceleration: ac = v2/R

Work, Energy, Conservation Laws Formulas

Work: W = F · d = Fdcos(α)

Potential Energy: PE = m·g·h

Kinetic Energy: KE = m·v2/2

Mechanical Energy: E = KE + PE

Instantaneous Power: P = F·v

The Work-Energy Theorem: W = ΔKE

Gravitation Formulas

Newtonian gravity formula: Fg = G·m·M/R2

Kepler's Third Law: T2/a3 = ct.

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