# Calculating torque for a designed flywheel ?

• elessar8587
In summary, the question posed is how to calculate the torque that a flywheel with a given moment of inertia and angular velocity will apply on a shaft, based on its dimensions. The response states that torque is determined by angular acceleration and moment of inertia, but the question arises because the flywheel cannot generate any desired torque. The individual is seeking a method to determine the torque without conducting experiments.
elessar8587
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 ?

Welcome to PF.

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 accleration . 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..

## 1. How do you calculate torque for a designed flywheel?

To calculate the torque for a designed flywheel, you need to know the mass of the flywheel, the radius of the flywheel, and the angular velocity. The formula for torque is T = I * α, where T is torque, I is moment of inertia, and α is angular acceleration. The moment of inertia can be calculated as I = 1/2 * m * r^2, where m is mass and r is radius. Once you have all these values, simply plug them into the formula to calculate the torque.

## 2. How does the mass of the flywheel affect the calculated torque?

The mass of the flywheel directly affects the calculated torque. A heavier flywheel will have a larger moment of inertia, resulting in a higher torque. This is because the moment of inertia is a measure of an object's resistance to changes in its rotational motion, and a higher mass means a greater resistance to changes in angular velocity.

## 3. What is the significance of the radius in calculating torque for a designed flywheel?

The radius of the flywheel is an important factor in calculating torque because it determines the distance from the axis of rotation at which the force is applied. The farther the force is applied from the axis, the greater the torque will be. This is why larger flywheels tend to have larger radii, as it allows for greater torque to be generated.

## 4. How does angular velocity impact the calculated torque for a designed flywheel?

Angular velocity is a measure of how fast an object is rotating. The higher the angular velocity, the greater the torque will be, as seen in the formula T = I * α. This is because a higher angular velocity means a larger angular acceleration, resulting in a higher torque value.

## 5. Can the calculated torque for a designed flywheel be increased?

Yes, there are a few ways to increase the calculated torque for a designed flywheel. One way is to increase the mass of the flywheel, as a heavier flywheel will have a higher moment of inertia. Another way is to increase the radius of the flywheel, as this will also increase the torque. Additionally, increasing the angular velocity will result in a higher torque value. However, it's important to note that there are limitations to how much torque can be generated for a given flywheel design, as it also depends on the materials and construction of the flywheel itself.

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