Question

A runner races around a circular track of radius 50m. If she runs with a constant speed of

3m/s, find her angular velocity.

Answer 1

• Velocity=v=3m/s
• Radius=r=50m
• Angular velocity=
  `\omega`

Now

`\\ \tt\hookrightarrow v=r\omega`

`\\ \tt\hookrightarrow \omega=(v)/(r)`

`\\ \tt\hookrightarrow \omega=(3)/(50)`

`\\ \tt\hookrightarrow \omega=0.06rad/s`

Answer 2

3/50 rad/s

Explanation:

r = 50 m

constant speed = 3 m/s

Use formula v = rω

where

• v = linear speed of a rotating object
• r = radius
• ω = angular velocity in units of radians per unit of time

⇒ 3 = 50ω

⇒ ω = 3/50 rad/s