Rotating parts of a motor have a moment of inertia

In summary, the problem involves a motor with a moment of inertia of 15 kgm^2 and optimal running speed of 1400 rev/min, connected to a shaft with a counter rotation of 600 rev/min. The shaft weighs 80 kg and has a diameter of 1200 mm. The questions involve finding the common speed of rotation after slippage, the change in angular momentum and kinetic energy as the common speed is reached, and the time it takes for the system to regain optimum running speed. No calculations were shown.
  • #1
Busybee12
6
0

Homework Statement



The rotating parts of a motor have a moment of inertia of 15 kgm^2 and an optimum running speed of 1400 rev/min. When operating the motor is connected at optimum speed , by means of a clutch, to a shaft which has a counter rotation of 600 rev/min. The shaft has a mass of 80 kg and a solid diameter of 1200 mm.

i) Find the common speed of rotation of the two shafts, immediately after slippage has finished.
ii) Determine the change in angular momentum of the motor as the common speed is reached.
iii) Determine the change in angular kinetic energy of the motor as the common speed is reached.
iv) If the motor sends a torque of 220 Nm, find how long it will take for the system to regain optimum running speed for the motor.

Homework Equations



I1ω1=I2ω2?

The Attempt at a Solution



I have tried converting rev/min to rad/s and then trying to find out the common speed using angular momentum but don't know if is right?
 
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  • #2
Well how are we supposed to know if you don't show your calculations?
 

Related to Rotating parts of a motor have a moment of inertia

What is the moment of inertia of rotating parts of a motor?

The moment of inertia of rotating parts of a motor is a measure of their resistance to changes in rotational motion. It is calculated by multiplying the mass of the rotating parts by the square of their distance from the axis of rotation.

Why is the moment of inertia important in motor design?

The moment of inertia is important in motor design because it affects the motor's ability to start, stop, and change its rotational speed. A higher moment of inertia requires more energy to change the speed of the motor, while a lower moment of inertia allows for quicker changes in speed.

How does the moment of inertia affect the performance of a motor?

A higher moment of inertia can cause a motor to be less responsive and slower in its movements, while a lower moment of inertia allows for quicker and more precise movements. It also affects the amount of torque needed to move the motor, with a higher moment of inertia requiring more torque.

Can the moment of inertia be changed in a motor?

Yes, the moment of inertia can be changed by altering the mass and/or distribution of the rotating parts in a motor. For example, adding or removing weight from the rotating parts can change the moment of inertia.

How is the moment of inertia different from the moment of force?

The moment of inertia is a measure of an object's resistance to changes in rotational motion, while the moment of force is a measure of the rotational force applied to an object. The moment of inertia is dependent on the object's mass and distribution, while the moment of force is dependent on the force and the distance from the axis of rotation.

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