Which of the following are true? (Select all that apply) 1. All parts of a wheel

Question

Which of the following are true? (Select all that apply)
1. All parts of a wheel rotating about a fixed axismust have the same angular acceleration.
2. Angular speed and linear velocity have the samedimensions.
3. All parts of a wheel rotating about a fixed axismust have the same centripetal acceleration.
4. All parts of a wheel rotating about a fixed axismust have the same angular speed.
I think 2 is false and 4 is true. I can't figure out 1 or3. Which of the following are true? (Select all that apply)
1. All parts of a wheel rotating about a fixed axismust have the same angular acceleration. 2. Angular speed and linear velocity have the samedimensions. 3. All parts of a wheel rotating about a fixed axismust have the same centripetal acceleration. 4. All parts of a wheel rotating about a fixed axismust have the same angular speed.
I think 2 is false and 4 is true. I can't figure out 1 or3.

Explanation / Answer

a) True. The angularacceleration of all points on the wheel is dw/dt.

b) False. Angularspeed has the dimension of 1/T while linear velocity has thedimension of L/T

c) False. Thecentripetal acceleration at a point on a rotating wheel is directlyproportional to its distance from the center of thewheel.

d) True. The angularspeed of all points on the wheel is dq/dt.

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