A rotating flywheel can be used as a method to store energy.If it is required that such a device be able to store up to a maximum of 1.00 ´ 10⁶ J when rotating at 400 rad/s,what moment of inertia is required? A)50 kg*m² B)25 kg*m² C)12.5 kg*m² D)6.3 kg*m²

Question

Quizplus · Accepted Answer

The formula for energy stored in a rotating flywheel is:

E = 0.5 * I * w^2

where E is the energy stored, I is the moment of inertia, and w is the angular velocity.

We are given that the maximum energy stored is 1.00 × 10^16 J when rotating at 400 rad/s. Substituting these values into the formula, we get:

1.00 × 10^16 J = 0.5 * I * (400 rad/s)^2

Solving for I, we get:

I = (1.00 × 10^16 J) / [0.5 * (400 rad/s)^2]

I = 12.5 kg·m^2

Therefore, the required moment of inertia is 12.5 kg·m^2. The answer is C.

A Rotating Flywheel Can Be Used as a Method to Store