A point on the wheel of 4m diameter has a velocity of 1600cm/s. The angular velocity of the wheel is:
Correct answer: A. 8rad/s
- A. 8rad/s
- B. 4rad/s
- C. 12rad/s
- D. 2rad/s
Explanation
Option A correctly calculates the angular velocity of the wheel using the given linear velocity and radius.𝑣=1600 cm/s=16 m/sω=vr=16/2=8rad/s Options B, C, and D provide incorrect angular velocity values based on the calculation, making them incorrect choices.
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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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