Find the radius of the circular path if a car is moving with a velocity of 25 m/s and has a centripetal acceleration of 10 m/s2.
Correct answer: C. 62.5 m/s
- A. 72.3 m/s
- B. 30 m/s
- C. 62.5 m/s
- D. 52.5 m/s
Explanation
Centripetal acceleration = v2/r ; r=v2/acceleration252/10 = 62.5 m/s
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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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