Chapter 8, Problem 77A

To determine

To Compare:The linear and angular velocities of two gears in contact and rotating.

Explanation of Solution

Introduction:

The linear velocity of a body is rate of change of linear displacement with respect to time.

The angular velocity is rate of change of angular displacement with respect to time.

Here gear have linear velocity and angular velocity.

As linear velocity is along the tangent and the gears are in contact it is same for teeth in contact.

Angular velocity is inversely proportional to radius of gear so it is different for both the gears.

Conclusion:

Linear velocity is same and angular velocity is different.