Question

If an object is rolling without slipping, how is the speed of its center related to its angular velocity

Answer 1

Angular velocity w is directly proportional to its velocity.

Answer 2

Speed of its center will be directly proportional to its angular velocity in the case of rolling without slipping

 

What is rolling without slipping ?

Rolling without slipping is a combination of translation and rotation where the point contact is instantaneously at rest.                                                                                                                                                                                                                                                                                                                                                                

When an object rolls without slipping on an inclined plane , then the velocity of the center of mass will be equal to angular velocity times radius that object.

Vo = angular velocity * radius

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