A wheel whose moment of inertia is has an initial angular velocity of . A constant torque of acts on the wheel. The time in which the wheel is accelerated to is
Step 1: Given information
Torque,
Moment of inertia,
Step 2: To find
We have to find the time to which the wheel is accelerated to .
Step 3: Calculation
Calculate the acceleration using the formula,
Where, is the torque, is the acceleration, and
Substitute the values in equation (1).
Use the first equation of motion,
Where, is the initial velocity, and is the final velocity, and is the time.
Therefore, the time in which the wheel is accelerated to is .