Question

A jogger is going around a circular track with a radius of 100 ft. Determine the

ANGULAR speed of the jogger given that they run a lap every 3 minutes, to the nearest tenth. (recall:theta must be in radians)

Answer 1

ω= 0.01 rad/s

Explanation:

The given data is question is ,

• r = 100ft .
• t = 3 min = 180s.

Firstly let's find the linear speed. Which is

=> v = Circumference/time

=> v = 2πr/180s

=> v = 3.14 × 100ft ./ 90

=> v = 3.48 ft/s ≈ 1m/s

• Now the angular speed and linear speed are related as follows ,

=> v = r
`\omega`

=>
`\omega` = v/r

=>
`\omega` = 1/100

=>
`\omega` = 0.01 rad/s

Hence the angular speed is 0.01 rad/s.