Angular Velocity and Frequency Concepts

Static objects

Periodic phenomena

Circular or curved path motion

Linear motion

Change in frequency over time

Change in speed over time

Change in angle over time

Change in distance over time

A pendulum swinging

A straight line motion

A stone at rest

A car accelerating

y = mx + c

I = A sin(ωt) or I = A cos(ωt)

F = ma

E = mc^2

Time taken for one complete cycle

Number of cycles per unit time

Distance covered per unit time

Change in velocity per unit time

ω = ν/2π

ω = ν^2

ω = ν

ω = 2πν

When the object is accelerating

When the object is moving in a circle with uniform speed

When the object is moving linearly

When the object is at rest

Radians per second

Meters per second

Joules

Hertz

Rate of change of distance

Rate of change of cycles per second

Rate of change of speed

Rate of change of angle

Angular velocity is a scalar, angular frequency is a vector

Angular velocity is measured in Hertz, angular frequency in radians per second

Angular velocity involves actual rotation, angular frequency involves periodic repetition

Angular velocity is for linear motion, angular frequency is for circular motion