Calculating torque for a designed flywheel ?

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SUMMARY

The calculation of torque applied by a flywheel is determined by the formula τ = I * α, where τ is torque, I is the moment of inertia, and α is angular acceleration. The torque is independent of angular velocity, which is crucial for understanding the system's dynamics. To accurately determine the torque on a shaft connected to a flywheel, one must consider the flywheel's moment of inertia and the resulting angular acceleration, which cannot be derived without empirical testing. This highlights the importance of experimental validation in mechanical design.

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  • Understanding of torque and angular acceleration in rotational dynamics
  • Familiarity with moment of inertia calculations
  • Knowledge of mechanical systems involving flywheels and shafts
  • Basic principles of power and energy in rotational systems
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Mechanical engineers, physics students, and anyone involved in the design and analysis of rotational systems, particularly those working with flywheels and torque calculations.

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How to calculate how much torque a given flywheel with a given moment of inertia I and angular velocity w will apply on a shaft (with given dimensions) its connected to ?
 
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The torque is just angular acceleration times moment of inertia. It is not a function of angular velocity.
 
But that is why the question arises. Its is not like the flywheel can generate whatever torque I need it to . If i connect a rotating flywheel to a shaft with a gearing and wheel at the end I need to know how much torque does it apply so as to then know what is the power and angular acceleration . Its not the otherway around . Even if torque is a function of alpha(angular acceleration) I can't find out the alpha of shaft connected without testing can I ? Thats is why I want to know whether there was any way to know without experimenting .

Thanks..
 

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