Answer:
C) they all have the same angular speed
D) they all have the same angular acceleration
Explanation:
Wrong --> they all have the same tangential speed. The points close to the axis will have less speed than the points away from the axis.
Wrong --> they all have the same tangential acceleration. Similarly, the points close to the axis will have smaller acceleration than the points away from the axis.
Correct --> they all have the same angular speed. Angular speed is the same for all the particles in the rotating object.
Correct --> they all have the same angular acceleration. Angular acceleration is the same for all the particles in the rotating object.
This all comes from the following relations:
v = ωR
a = αR
where ω is the angular velocity and α is the angular acceleration.
As can be seen from above, tangential velocity and acceleration depends on the distance from the axis, whereas the angular velocity and acceleration is the same for all the points on the rotating body.
The true statements about all points in the object rotating about a fixed point are;
C) they all have the same angular speed
D) they all have the same angular acceleration
For a circular motion about a given point, the angular speed is same for all points on the circular path and it is calculated as;
[tex]\omega = \frac{2\pi N}{T}[/tex]
Where;
Thus, angular speed is independent of the position of an object rotating about a fixed point.
The angular acceleration is given as;
[tex]\alpha = \frac{\omega}{T}[/tex]
Tangential speed and acceleration depends on the position of each object along the circular path.
Thus, we can conclude that the true statements about all points in the object rotating about a fixed point are, they all have the same angular speed and they all have the same angular acceleration.
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