Question

An energy of 484 J is spent in increasing the speed of a flywheel from 60 rpm to 360 rpm. Calculate the moment of inertia of the flywheel.

Answer 1

To calculate the moment of inertia of a flywheel, you can use the formula I = (K.E.)/(0.5*w^2), where I is the moment of inertia, K.E. is the kinetic energy, and w is the angular velocity. By substituting the given values into the formula and solving for I, you can find the moment of inertia of the flywheel.

Step-by-step explanation:

The moment of inertia of a flywheel can be calculated using the formula:

I = (K.E.)/(0.5*w^2)

Where I is the moment of inertia, K.E. is the kinetic energy, and w is the angular velocity.

In this case, we can use the given kinetic energy (484 J) and the change in angular velocity (300 rpm) to find the angular velocity in radians per second. Then, we can substitute the values into the formula to calculate the moment of inertia.

1. Convert the change in angular velocity from rpm to radians per second:
2. w = (2*pi*change in rpm)/60
3. Calculate the moment of inertia using the formula:
4. I = (K.E.)/(0.5*w^2)

Substituting the known values, we get:

I = (484 J)/(0.5*(2*pi*300/60)^2)

Solving this equation will give us the moment of inertia of the flywheel.