Asked in PMC Practice Test 31 (2021) 2021Moderate

The angular acceleration is equal to linear acceleration when _.

Correct answer: C. r=1

  • A. r=maximum
  • B. r=0
  • C. r=1
  • D. None of these

Explanation

Linear acceleration (a) and angular acceleration (α) are related by the equation: a = α x r Hence if r = 1, a= α.

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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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