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JAMB Physics 2012 Paper

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Question : 7

Total: 42

An object moves in a circular path of radius 0.5m with a speed of 1ms^-1 What is its angular velocity?

8 rads^-1
4 rads^-1
2 rads^-1
1 rads^-1

Solution:

Concept:

Angular velocity relates linear speed to the radius of circular motion.

Explanation:

Angular velocity

\omega

is given by

\omega = \frac{v}{r}

.

Here, linear speed

v = 1 \, \text{m s}^{-1}

and radius

r = 0.5 \, \text{m}

.

Substitute the values:

\omega = \frac{1}{0.5} = 2 \, \text{rad s}^{-1}

Therefore, the angular velocity is

2

radians per second.

Answer:

2 \, \text{rad s}^{-1} \quad \text{(Option C)}

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