# Linear Velocity: When to Use S/t or R*w

• Miike012

#### Miike012

Linear Velocity...

## Homework Statement

When do I use
v = S/t
OR
v = R*w

s= arc length
w = angular velocity
t = time

## The Attempt at a Solution

You use the formulas that use the information you are given!

If you are given an "angular velocity" or an "radius", R, then you use v= Rw. If you are given an actual length and time, then you use v= S/T.

the equation v = R*w shows that when you have a simple rotating object, and when w is constant (not changing), the linear velocity of the object (v) increases as you go further away from the origin (as R increases). As R increases, the object has to travel more but w is the same, so v must increase also.
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