Studied by 6 peoplePhysics
Circular Motion & Gravitation
AP Physics 1: Algebra-Based
Unit 3: Circular Motion and Gravitation
Equations, some definitions, etc.
RA3 / TA2 = RB3 / TA2
Kepler’s 1st (Any Units)
R3 / T2 = GM / 4𝝅2
Kepler’s 2nd (Standard Units ONLY; Meters, Seconds, Kgs)
RA3 = TA2
Keplers 3rd (AU’s and years ONLY; planets in OUR solar system)
F = GMm / d2
How to find the force of a planet
Fc = mac
How to find centripetal force
Wr = VT
How to find tangential velocity with radius and omega
Mac = GMm / d2
How to find centripetal motion
ac = VT2 / R
How to find centripetal acceleration
VT = circumference / T
How to find tangential velocity
g = GMplanet / Rplanet2
gravitational acceleration for ANY planet
V = d / t
How to find velocity
W = θ / t
How to find omega
1 cycle, 1 revolution, or 1 rotation = 2𝝅 radians = 2𝝅r
angular and linear conversions
Linear ÷ R = Angular
d, v, or a, to θ, Ꞷ, or 𝝰
Angular × R = Linear
θ, Ꞷ, or 𝝰, to d, v, or a,
d ⇌ θ
distance = theta
V ⇌ Ꞷ
velocity = omega
a ⇌ 𝝰
acceleration = alpha
Note
Flashcard