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The angular speed of an object describing a circle of radius 4m with a linear...

Physics
WAEC 1995

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

  • A. 40.00 rad s-1
  • B. 14.00 rad s-1
  • C. 2.50 rad s-1
  • D. 1.58 rad s-1
  • E. 0.40 rad s-1
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Correct Answer: Option C
Explanation

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  \(\omega = 2.50 \, \text{rad/s}\)


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