The period of a circular motion is given by_______________?
Correct answer: D. T = 2πr/v
- A. T = πv
- B. T = πw
- C. T = 2πr
- D. T = 2πr/v
Explanation
The period is the time for one revolution, whose distance is the circumference 2πr m. Dividing this distance by linear speed v in m/s gives T = 2πr/v s. The likely mistake is choosing 2πr, which is a distance in metres, not a time in seconds.
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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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