The centripetal acceleration of a car traveling at constant speed around a frictionless circular track is:
Correct answer: B. Constant magnitude but varying direction
- A. Zero
- B. Constant magnitude but varying direction
- C. Constant direction but varying magnitude
- D. Varying magnitude and direction
Explanation
For uniform circular motion the magnitude ac= v²/r is constant if speed is constant, but the direction is always changing (toward the center). Thus acceleration has constant magnitude with continuously changing direction.
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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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