GATE ME 2014 Set 4 — Question 48

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NAT+2 / -0HardFlywheels & GovernorsBalancing, Flywheels & GyroscopesTheory of Machines & Vibrations

Theory of Machines & Vibrations → Balancing, Flywheels & Gyroscopes → Flywheels & Governors

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Question

Torque and angular speed data over one cycle for a shaft carrying a flywheel are shown in the figures. Over the cycle, the torque is zero for 0≤θ<π/20 \le \theta < \pi/2, 30003000 N-m for π/2≤θ≤π\pi/2 \le \theta \le \pi and −1500-1500 N-m for π<θ≤2π\pi < \theta \le 2\pi. The angular speed is 1010 rad/s up to θ=π/2\theta = \pi/2, rises linearly to 2020 rad/s at θ=π\theta = \pi, and then falls linearly back to 1010 rad/s at θ=2π\theta = 2\pi. The moment of inertia (in kg.m2^2) of the flywheel is _______
Torque versus theta over one cycle
Angular speed versus theta over one cycle
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