Question

Two points are located on a rigid wheel that is rotating with an increasing angular velocity about a fixed axis. The axis is perpendicular to the wheel at its center. Point 1 is located on the rim, and point 2 is halfway between the rim and the axis. At any given instant, which point (if either) has the greater_______.a) angular velocity.b) angular acceleration.c) tangential speed.d) tangential acceleration.e) centripetal acceleration.

Answer 1

Answer:

A. The angular velocity of Point 1 and Point 2 are the same

B. The angular acceleration is equal.

C. Tangential velocity of Point 1 is greater than Point 2

D. The tangential acceleration of point1 is greater than point 2

E. The centripetal acceleration of Point 2 is greater than point 1

Explanation:

- Since angular velocity is angular displacement of Point divided by time and since they are in the same line perpendicular to the axis, that means angular velocity is equal.

The tangential speed is the measure of how quickly an object is traveling along a circular path and two object with the same angular velocity but different radius would have different tangential speed.

-The tangential acceleration is the measure of how quickly the tangential velocity changes and is angular acceleration multiplied by the radius from the centre of circle so since point 1 has a bigger radius, it would have a greater tangential acceleration.

The centripetal acceleration is the effect on the body traveling in a circular path and is directed towards the center of the circle and it is inversely proportional to the radius so the bigger the radius the smaller the centripetal acceleration.