Angular Acceleration of Flywheel

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SUMMARY

The discussion focuses on calculating the angular acceleration and angular velocity of a solid steel flywheel with a diameter of 500mm and thickness of 78mm, supported by frictionless bearings. When a torque of 150Nm is applied to a 30mm diameter spindle for 5 seconds, the angular acceleration (α) can be determined using the formula T=Iα, where T is torque and I is the moment of inertia. After calculating α, the angular velocity can be derived using constant acceleration equations.

PREREQUISITES
  • Understanding of torque and its effects on rotational motion
  • Knowledge of moment of inertia for solid cylinders
  • Familiarity with angular kinematics equations
  • Basic principles of rotational dynamics
NEXT STEPS
  • Calculate the moment of inertia for the solid steel flywheel
  • Learn how to apply the formula T=Iα in practical scenarios
  • Explore constant angular acceleration equations for further analysis
  • Investigate the effects of friction on angular motion in real-world applications
USEFUL FOR

Mechanical engineers, physics students, and anyone involved in rotational dynamics or flywheel design will benefit from this discussion.

JamesCalculus
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Hi, i would be grateful if anyone could help me find out the angular acceleration and angular velocity of a flywheel?

The flywheel is made from solid steel 500mm diamter x 78mm thick and is supported by two free running bearings (frictionless). The flywheel is rigidly attached to a 30mm diameter spindle. When a torque of 150Nm is applied to thr spindle for 5 seconds i need to know the angular acceleration of the flywheel and also it's angular velocity after 5 seconds.

Thanks to anyone who can help! :cool:
 
Engineering news on Phys.org
T=I\alpha

Once you have alpha, you can use the constant acceleration equations for motion to calculate the velocity after 5 seconds.
 

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