Part A - How do the times taken by points A, B and C to move through one complet

Question

Part A - How do the times taken by points A, B and C to move through one complete circle compare?

Hints

Part B - The time in Part A is called PERIOD. All points on the rotating object have the same period. How do the instantaneous speeds (also called linear speed) of points A, B, and C compare?

Part C - Is there a single Linear Velocity Vector that applies to all points on the wheel?

Part D - Suppose the wheel makes one complete revolution in 2 seconds. What is the angle in RADIAN gone through by every point on the wheel?

Part E - Calculate the angular speed in Part D. The unit of angular speed is radian/sec. Use numerical value of pi = 3.14.

Part F - For the direction of angular velocity, we use an easily visible but not rigorous way: Counterclockwise or Clockwise. The convention is thatcounterclockwise rotation has positive “+” angular velocity. Is there one single Angular Velocity Vector that applies to all points on the wheel?

Part G - Assume the distances from points A, B and C to the rotational axis are 0.1m, 0.05m, and 0.08m. Calculate the linear (or tangential) speed vT at point A. Keep three digits.

Part H - Calculate the linear (or tangential) speed vT at point B. Keep three digits.

Part I - Calculate the linear (or tangential) speed vT at point C. Keep three digits.

Explanation / Answer

Part A

Since wheel is rotating as a whole so time period of all particles will be same so

tA=tB=tC

Part B

Since w is same so v=wr will depend on r .

So

Va,Vc,Vb is correct order

Part C

Velocity vector will be perpendicular to point joining to the centre of circle so it will be different for all

No

Part D

1 revolution=2pi radian is correct

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