Suppose that two wheels with different radii are connected by a tight belt that

Question

Suppose that two wheels with different radii are connected by a tight belt that wraps around them both (like the fan-belt of your car) so that if one rotates the other must also rotate without slipping. Which of the following conditions must hold true about the motion of the two wheels?

Hint: This situation is equivalent to putting the two wheels in direct contact; the belt simply allows the wheels to be further apart while maintaining the no-slipping condition.


A) The two wheels must experience the same angular speed

B) Both wheels must possess the angular momentum at all times

C) The particles that make up the outer edges of the wheels must share the same linear (tangential) speed.

Explanation / Answer

C will be true The smaller wheel will have more angular velocity And the angular momentum will depend on the wheels moment of inertia,which depends on the mass of the wheels But as belt is always tight, all parts of belt move at same speed, so tangential velocity will be same

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