Physics Test 4 Flashcards
Torque equation
T = F * r
Sign of clockwise rotation?
Negative
Sign of counterclockwise rotation?
Positive
Torque is measured by the distance of the force to the
moment arm
Static equilibrium
ΣT = 0 and ΣF = 0
inertia for a solid disk
(1/2) * MR^2
how do we get to the Torque equation?
F = ma
Fr = mar (T = Fr)
T = m(αr)r (αr = a)
T = α * mr^2
optionally T = Iα (mr^2 = I)
linear velocity equation given angular velocity
v = ωr therefore (v / r) = ω
Angular velocity given frequency or period
ω = 2πf or ω = 2π/T
How do we get centripetal acceleration?
a = v^2 / r
a = (ωr)^2 / r (ωr = v)
a = ω^2 / r
linear speed around a point
v = d / t where d = 2pir
angular speed
ω = θ / t
equation connecting liner speed and angular speed
v = rω
Ratio relating periods of orbiting masses
( T1 / T2 )^2 = ( r1 / r2 )^3
Ratio using the mass of the object being orbited
G Mc T^2 = 4 π^2 r^3