Question

circular motion and gravity tf review

1. which of the following statements are true about tangential and angular velocity?

a. tangential velocity is the turning rate of an object about an axis.
b. two observers on the same spinning wheel will always have the same angular velocity.
c. two observers on the same spinning wheel will always have the same tangential velocity.
d. the si unit of tangential velocity is m/sec
e. the si unit of angular velocity is rpm
which of the following statements are true about satellites? identify all that apply.

Explanation:

• A: Angular velocity is the turning rate, not tangential velocity, so A is false.
• B: All points on a rigid spinning object share the same angular velocity, so B is true.
• C: Tangential velocity depends on radius ($v_t = r\omega$); different radii give different values, so C is false.
• D: Tangential velocity is linear speed, with SI unit m/sec, so D is true.
• E: The SI unit of angular velocity is radians per second (rad/s), not rpm, so E is false.

Answer:

B. Two observers on the same spinning wheel will always have the same angular velocity.
D. The SI unit of tangential velocity is m/sec