The mud files off the tyre of a fast moving car in the direction
Correct answer: C. Tangent to the moving tyre
- A. Parallel to the moving tyre
- B. Anti-parallel to the moving tyre
- C. Tangent to the moving tyre
- D. None of these
Explanation
Points on a rotating tyre have an instantaneous linear velocity that is tangential to the circular path at that point. When mud stuck on the tyre loses contact, the centripetal force keeping it in circular motion disappears. The mud then continues moving in the direction of its instantaneous velocity at the point of separation. Since this velocity is tangential to the tyre, the mud flies off along the tangent.
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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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