WILL GIVE BRAINLIEST AND 60 POINTS!
1 answer:
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Answer:
Explanation:
The torque of a force is given by:
where
F is the magnitude of the force
d is the distance between the point of application of the force and the centre of rotation of the system
is the angle between the direction of the force and d
In this problem, we have:
, the force
, the distance of application of the force from the centre (0,0)
, the angle between the direction of the force and a
Therefore, the torque is
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.