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GATE 2019: Theory of Machine Quiz 4 (App update required to attempt this test)
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Question 1
A riveting machine is driven by a motor of 5 kW. The actual time to complete one riveting operation is 1.5s and it absorbs 10 kN-m of energy. The moving parts including the flywheel are equivalent to 200 kg at 0.5m radius of gyration. Speed of flywheel (in rad/s) after riveting, if it was 350 rpm before riveting will be
Question 2
A flywheel of moment of inertia 9.8 kg m2 fluctuates by 30 rpm find the fluctuation in energy, if the mean angular speed of the flywheel is 82.66 rad/s.
Question 3
The torque delivered by an engine is represented by T = (1000 + 400 sin 2θ – 500 cos 2θ) Nm, where θ is the angle turned by the crank from the inner dead centre. The engine speed is 300 rpm. The mass of the flywheel is 500 kg and radius of gyration is 350 mm. The total percentage fluctuation of speed will be
Question 4
Maximum fluctuation of kinetic energy in an engine has been calculated to be 2600 J. Assuming that the engine runs at an average speed of 200 rpm, the polar mass moment of inertia (in kg.
) of a fly wheel to keep the speed fluctuation within ±0.5% of the average speed is _________
) of a fly wheel to keep the speed fluctuation within ±0.5% of the average speed is _________ Question 5
The turning moment diagram for engine is shown below.If the mass of rotating part in the engine is 50 kg and radius of gyration as 2.1 m.if the speed of the engine fluctuates ±1.50% about the mean speed. Find shaded area A1 as shown in figure[A1=A2=A3=A4] in Nm if the flywheel is rotating at a mean speed of 50 rad/s.
Question 6
A flywheel fitted to the steam engine has mass of 1000 kg.It’s radius of gyration is 400 mm.The starting torque of the engine is 580 Nm and is assumed to be constant.The kinetic energy of the flywheel after 14 sec is _______(in KJ).
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