If a car moves with a uniform speed of 2ms-1 in a circle of radius 0.4m. Its angular speed is
Correct answer: C. 5rads-1
- A. 4rads-1
- B. 4.6rads-1
- C. 5rads-1
- D. 2.8rads-1
Explanation
The correct answer is Option C: 5rads-1. By using the formula Angular Speed (ω) = Linear Speed (v) / Radius (r) and plugging in the values given (v = 2 m/s, r = 0.4 m), we calculate ω = 2 m/s / 0.4 m = 5 radians per second. Options A, B, and D are incorrect as they do not yield the correct angular speed when the values are substituted into the formula.
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About Angular and Linear Quantities
Rotational motion relates angular displacement, angular velocity and angular acceleration to linear displacement, tangential velocity and tangential acceleration through the radius. Questions use radians, v equals r omega and tangential acceleration, while distinguishing tangential velocity from centripetal acceleration and angular quantities from their linear counterparts.
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