GATE PI 2020 Paper 1 — page 16

Questions 46–48 of 65. Imported answers require review unless explicitly marked reviewed.

If the probability density function of a random variable

is given by

the value of

is __________.

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A solid shaft has to transmit 50 kW of power at a speed of 190 RPM. Ignore any possible bending of the shaft. The maximum allowable shear stress for the material of the shaft is 80 MPa. The minimum diameter of the shaft required to prevent failure due to shear (rounded off to one decimal place) in cm is __________.

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A flywheel is to be used in an IC engine to limit fluctuation of angular speed. The average of the maximum and the minimum angular speed is 500 RPM, and the maximum fluctuation of energy is 10,000 N-m. Neglecting rotary inertia of any other components, the moment of inertia of the flywheel about its axis of rotation required to limit the maximum fluctuation of speed to 30 RPM (rounded off to one decimal place) in kg-m

is __________.

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2020 · Paper 1

Question 36

Question 37

Question 38