WAEC - Physics (1995 - No. 5)

The angular speed of an object describing a circle of radius 4m with a linear constant speed of 10 ms-1 is

40.00 rad s^-1

14.00 rad s^-1

2.50 rad s^-1

1.58 rad s^-1

0.40 rad s^-1

To find the angular speed (\( \omega \)) of an object moving in a circle, we use the formula:

\(\omega = \frac{v}{r}\)

Given:
- Linear speed (\( v \)) = 10 m/s
- Radius (\( r \)) = 4 m
Substituting the values into the formula:

\(\omega = \frac{10 \, \text{m/s}}{4 \, \text{m}} = 2.5 \, \text{rad/s}\)
The angular speed is \(\omega = 2.50 \, \text{rad/s}\)