Moderate

A body is moving in a circular path with acceleration 'a', If the speed of the body is increased to four times the initial value, the acceleration will become:

Correct answer: C. 16a

  • A. 4a
  • B. 8a
  • C. 16a
  • D. a

Explanation

The correct answer is option C: 16a. This option suggests that the new acceleration will become 16a. In other words, the acceleration becomes sixteen times its initial value. Let's find out:ac=v2/rac=(4v)2/rac=16v2/rSo option C is the correct option.

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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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