GATE ME 2016 Set 1 — Question 20
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Theory of Machines & Vibrations → Balancing, Flywheels & Gyroscopes → Gyroscope & Gyroscopic Couple
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Question
A car is moving on a curved horizontal road of radius 100 m with a speed of 20 m/s. The rotating masses of the engine have an angular speed of 100 rad/s in clockwise direction when viewed from the front of the car. The combined moment of inertia of the rotating masses is 10 kg-m. The magnitude of the gyroscopic moment (in N-m) is __________
Correct answer
199 to 201
Solution
The gyroscopic moment is given by the formula , where:
N-m.
- is the moment of inertia of the rotating masses = 10 kg-m
- is the angular velocity of the engine = 100 rad/s
- is the angular velocity of precession = rad/s
N-m.
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