A motor flywheel accelerates from standstill to 1000 rpm in 6 sec. Approximately how many total revolutions does it complete_________________?
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Answer: B. 50
Explanation
Integrating constant angular acceleration from zero to one thousand revolutions per minute over six seconds yields fifty revolutions. Average rotational speed during uniform linear acceleration equals half of the final maximum angular velocity achieved by the flywheel. Multiplying the average speed in revolutions per second by the total elapsed time of six seconds gives fifty complete revolutions. Rotational kinematics formulas relate angular displacement, initial velocity, final velocity, and time during constant acceleration events. One thousand revolutions per minute converts directly to approximately sixteen point six seven revolutions per second of operation. Flywheels store rotational kinetic energy and require specific torque inputs to achieve desired operating speeds within designated timeframes.
Twenty-five revolutions underestimates the total angular displacement calculated using proper integration of uniform rotational acceleration equations. One hundred revolutions overestimates the actual displacement because it fails to account for the gradual buildup from zero speed. Larger values such as two hundred fifty or five00 represent severe mathematical errors in kinematic rotational displacement calculations.
- Subject
- Engineering
- Category
- Mechanical Engineering
- Topic
- —
- Difficulty
- medium
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