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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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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