Asked in PMC Practice Test 34 (2021) 2021Moderate

A car is moving in a circular track of diameter 100m at a constant speed of 40m/sec. Find the centripetal acceleration.

Correct answer: C. 32 m/s2

  • A. 42 m/s2
  • B. 52 m/s2
  • C. 32 m/s2
  • D. 30 m/s2

Explanation

using the formula: ac = v2 / rwhere ac is the centripetal acceleration, v is the velocity of the object, and r is the radius of the circular path. the diameter of the circular track is given as 100m, which means the radius (r) is half of the diameter, so r = 50m. The constant speed of the car is given as 40 m/s. ac = (40 m/s)2 / 50mac = 1600 m2/s2 / 50mac = 32 m/s2 Therefore, the centripetal acceleration of the car is 32 m/s2.

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