Answer:
The moment of inertia of the motor is 0.0823 Newton-meter-square seconds.
Explanation:
From Newton's Laws of Motion and Principle of Motion of D'Alembert, the net torque of a system ( ), measured in Newton-meters, is:
), measured in Newton-meters, is:
 (1)
 (1)
Where:
 - Moment of inertia, measured in Newton-meter-square seconds.
 - Moment of inertia, measured in Newton-meter-square seconds.
 - Angular acceleration, measured in radians per square second.
 - Angular acceleration, measured in radians per square second.
If motor have an uniform acceleration, then we can calculate acceleration by this formula:
 (2)
 (2)
Where:
 - Initial angular speed, measured in radians per second.
 - Initial angular speed, measured in radians per second.
 - Final angular speed, measured in radians per second.
 - Final angular speed, measured in radians per second.
 - Time, measured in seconds.
 - Time, measured in seconds.
If we know that  ,
,  ,
,  and
 and  , then the moment of inertia of the motor is:
, then the moment of inertia of the motor is:





The moment of inertia of the motor is 0.0823 Newton-meter-square seconds.