GATE 2016 ME (ME1) – Question 20
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-m2. The magnitude of the gyroscopic moment (in N-m) is __________
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Show answer and explanation
Correct answer: 199 to 201
Explanation
The car’s turning or precession rate isΩ=v/R=20/100=0.2rad/s. Gyroscopic couple magnitude is IωΩ=10·100·0.2. Thus **200N·m**. The indicated rotation direction would determine the couple direction, but does not change its magnitude.