What form of energy does a compressed spring have?
2 answers:
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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:
(1)
Where:
- Moment of inertia, measured in Newton-meter-square seconds.
- Angular acceleration, measured in radians per square second.
If motor have an uniform acceleration, then we can calculate acceleration by this formula:
(2)
Where:
- Initial angular speed, measured in radians per second.
- Final angular speed, measured in radians per second.
- Time, measured in seconds.
If we know that ,
,
and
, then the moment of inertia of the motor is:
The moment of inertia of the motor is 0.0823 Newton-meter-square seconds.
Explanation:
It is given that,
Mass of Millersburg Ferry, m = 13000 kg
Velocity, v = 11 m/s
Applied force, F = 10⁶ N
Time period, t = 20 seconds
(a) Impulse is given by the product of force and time taken i.e.
(b) Impulse is also given by the change in momentum i.e.
(c) For new velocity,
Hence, this is the required solution.