AP Physics 1 Unit 5

Angular velocity

angular displacement/time

Degrees to Radians

rad = deg * pi/180

Radians to Degrees

def = rad * 180/pi

RPM to rad/s

rad/s = rpm * 2pi/60

rad/s to RPM

rpm = rad/s * 60/2pi

linear velocity

v = angular velocity * radius

linear acceleration

a = angular acceleration * radius

linear displacement

d = angular displacement * radius

Angular speed from period

W = 2pi/T

Angular Speed from frequency

W = 2pi*F

Rotational Kinematic #1

Angular displacement = angular velocity * time

Rotational Kinematic #2

Final angular velocity = Initial angular velocity + angular acceleration * time

Rotational Kinematic #3

Final angular velocity² = Initial angular velocity² + 2 * angular acceleration * angular displacement

Rotational Kinematic #4

Angular Displacement = Initial angular velocity t + 0.5 * angular acceleration * t²

Rotational Kinematic #5

Angular displacement = 0.5[initial angular velocity + final angular velocity] * t

Net Torque formula #1

net torque = inertia * angular acceleration

Torque formula

force * radius

Inertia formula

CMR²

Parallel axis theorem

I’ = I(center of mass) + md²

Torque depends on the

perpendicular component to the radius

The closer the mass to the rotation of axis

the lesser the inertia

Revolution to Radians

1 rev = 2pi rad

Center of Mass formula

(x1m1 + x2m2) / (m1 + m2)