Rotating parts of a motor have a moment of inertia

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SUMMARY

The discussion focuses on the dynamics of a motor with a moment of inertia of 15 kgm² and an optimum running speed of 1400 rev/min, which is connected to a shaft rotating at 600 rev/min. Key calculations include finding the common speed of rotation after slippage, determining the change in angular momentum, and calculating the change in angular kinetic energy. Additionally, the torque of 220 Nm is used to assess the time required for the system to regain optimum running speed.

PREREQUISITES
  • Understanding of angular momentum and its conservation principles
  • Knowledge of angular kinetic energy calculations
  • Familiarity with torque and its effects on rotational motion
  • Ability to convert between revolutions per minute (rev/min) and radians per second (rad/s)
NEXT STEPS
  • Study the conservation of angular momentum in rotating systems
  • Learn how to calculate angular kinetic energy in rotational dynamics
  • Explore the effects of torque on rotational acceleration
  • Practice converting units between rev/min and rad/s for various applications
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Students and professionals in mechanical engineering, physics enthusiasts, and anyone involved in the analysis of rotational dynamics in motors and machinery.

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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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Well how are we supposed to know if you don't show your calculations?
 

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