Question

If a ball is travelling in a circle of diameter 10m with velocity 20m/s, find the angular velocity of the ball.​

Answer 1

4 rad/s

Step-by-step explanation:

The angular velocity is velocity over time:

`\displaystyle{\omega = (v)/(r)}`

We know that the velocity is 20 m/s and the radius is half of diameter which is 10m/2 = 5 m. Hence, substitute in the formula:

`\displaystyle{\omega = \frac{20 \: \text{m/s}}{5 \: \text{m}}}\\\\\displaystyle{\omega = 4 \: \text{rad/s}}`

Therefore, the angular velocity is 4 rad/s