Calculate the rotational kinetic energy in the motorcycle wheel (Figure 10.38) if its angular velocity is 120 rad/s. Assume M = 12.0 kg, R1 = 0.280 m, and R2 = 0.330 m.

Solution 24CQ

Step 1 of 3</p>

The wheel of a motorcycle is rotating with angular velocity of . By taking the mass of wheel as , inner radius and outer radius . We need to calculate the rotational kinetic energy in the motorcycle wheel.

Given data,

Mass of wheel ,

Inner radius,

Outer radius,

Angular velocity ,

To find

Rotational kinetic energy

Step 2 of 3</p>In order calculate the rotational kinetic energy, first we need to determine the moment of inertia(I) of the wheel using,

……….1

The rotational kinetic energy of the wheel is given by,

Using equation 1,