The station is rotating at 1.80 revolution / minute.
<u>Explanation</u>:
For calculating the velocity v,
Apparent gravity = v^2 / r
2.30 = v^2/r
2.30 64.5 = v^2
v = 12.2 m/s .
Time for revolution = 2 π r / v
= (2 3.14
64.5) / 12.2 = 33.2 seconds
= 0.553 minutes .
For converting to revolution per minute, divide one by the value in minutes.
1 / 0.553 = 1.80 revolution / minute.
This question is incomplete, the complete question is;
A disk-shaped platform has a known rotational inertia ID. The platform is mounted on a fixed axle and rotates in an horizontal plane with an initial angular velocity of ωD in the counterclockwise direction, as shown. After an unknown time interval, the disk comes to rest. A single point on the disk revolves around the center axle hundreds of times before the disk comes to rest. Frictional forces are considered to be constant.
A student must determine the angular impulse that frictional force exert on the disk from the moment it rotates with angular velocity in the counterclockwise direction until it slopes. What additional data, if any should a student collect to determines the angular impulse on the disk?
Answer:
Ang Imp = I × ω
Therefore, No additional data will be required to determine the angular impulse on the disk
Explanation:
Given the data in the question;
Angular impulse is given by;
Ang Imp = TΔt = IΔω
where I is the torque
Δt is time interval
I is moment of inertia
Δω is change in angular velocity
so
Ang Imp = I × ( ω
- 0 )
Ang Imp = I × ω
Therefore, No additional data will be required to determine the angular impulse on the disk