A student must determine the angular impulse that frictional forces exert on the disk from the moment it rotates with angular velocity in the counterclockwise direction until it stops. What additional data, if any, should a student collect to determine the angular impulse on the disk

Respuesta :

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[tex]_d[/tex] × ω[tex]_D[/tex]

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[tex]_d[/tex] × ( ω[tex]_D[/tex] - 0 )

Ang Imp = I[tex]_d[/tex] × ω[tex]_D[/tex]

Therefore, No additional data will be required to determine the angular impulse on the disk

Angular Impulse = I × ω Therefore, No additional data will be required to determine the angular impulse on the disk

What is angular impulse?

The angular impulse is defined as the product of the torque of the rotating body to time is equal to the change in angular momentum of the body.

We can write the equation of angular impulse as follows:

Angular Impulse = TΔt = IΔω

where I is the torque

Δt is time interval

I is moment of inertia

Δω is change in angular velocity

so

Angular  Impulse = I × ( ω - 0 )

Angular Impulse = I × ω

Therefore, No additional data will be required to determine the angular impulse on the disk

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