The torque provided by an engine is given by T(0) 12000+2500sin (20) N.m, where is the angle turned by the crank from inner dead center. The mean speed of the engine is 200 rpm and it drives a machine that provides a constant resisting torque. If variation of the speed from the mean speed is not to exceed ±0.5, the minimum mass moment of inertia of the flywheel should be kg.m² (round off to the nearest integer). -

The torque provided by an engine is given by T(0) 12000+2500sin (20) N.m, where is the angle turned by the crank from inner dead center. The mean speed of the engine is 200 rpm and it drives a machine that provides a constant resisting torque. If variation of the speed from the mean speed is not to exceed ±0.5, the minimum mass moment of inertia of the flywheel should be kg.m² (round off to the nearest integer). -

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter7: Dry Friction

Section: Chapter Questions

Problem 7.26P: The uniform plank is initially at rest on the fixed support at A and the stationary drum at B. If...

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The uniform plank is initially at rest on the fixed support at A and the stationary drum at B. If the drum begins rotating slowly counterclockwise, determine how far the plank will travel before it comes to rest again. (Note: Because the drum rotates slowly, the inertia of the plank may be neglected.)
A single cylinder, single acting, four stroke oil engine develops 22 kW at 350 rpm. The work done by the gases during the expansion stroke is 2.3 times the work done on the gases during the compression and the work done during the suction and exhaust strokes is negligible. The speed is to be maintained within ± 1%. Determine the mass moment of inertia of the flywheel.
The energy-released by a flywheel having a mass of 2 kN and radius of gyration of 1.2 m when its speed decreases from 460 rpm to 435 rpm is ___________ kJ.
In case of a single cylinder double acting steam engine, 180 kW power is being developed at a mean speed of 120 r.p.m. The coefficient of fluctuation of energy is 0.12. The fluctuation of speed is ± 2% of mean speed. The flywheel rim has mean diameter of 2 metre. The hub and spokes of the flywheel provide 8% of the rotational inertia of the flywheel. If the density of the flywheel material is 7200 kg/m3, determine the mass and cross-sectional area of the flywheel rim.
cable is wrapped around the spool’s center hub. The mass of the spool is m= 100 kg, the radius r1 = 0.4 m, r2 =0.6 m, and the radius of gyration is kG = 0.3 m. A horizontal force P = 10 N is applied to the cord. The spool is initially at rest and rolls without slipping. (2) The mass moment of inertia of the spool about point A _______(kg·m2)(two decimal places)
A flywheel weighing 4480 lbs has a radius of gyration of 3 ft. If there is a driving torque of 600 lb-ft, and a resisting torque of 250 lb-ft, find the time required to increase its speed from 20 to 80 rpm. The correct answer is 22.5 seconds.
Charpy impact test pendulums are used to determine the amount of energy a test specimen absorbs during an impact (see ASTM Standard E23). The hammer weighs 71.2 lbs and has a mass moment of inertia about its center of gravity GH of 20.9 slug·in of 20.9 slug·in 2. The arm weighs 19.5 lbs and has a mass moment of inertia about its own center of gravity . The arm weighs 19.5 lbs and has a mass moment of inertia about its own center of gravity G.A of 47.1 slug·in 2. The pendulum is released from rest from an initial position of 0 = 39°. Knowing that the friction at pin O is negligible, determine (a) the impact speed when the hammer hits the test specimen, (b) the force on the pin O just before the hammer hits the test specimen,(c) the amount of energy that the test specimen absorbs if the hammer swings up to a maximum of φ = 70° after the impact.
In the helicopter shown; a vertical tail propeller is used to pre- vent rotation of the cab as the speed of the main blades is changed. Assuming that the tail propeller is not operating determine the final angular velocity of the cab after the speed of the main blades has been changed from I80 to 240 rpm. (The speed of the main blades is measured relative to the cab, and the cab has a centroidal moment of inertia of 650 lb.ft.s2. Each of the four main blades is assumed to be a slender rod 14 ft weighing 55 lb.)
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The turning-moment diagram for one cycle of a multi-cylinder engine shows fluctuations in energy above and below the mean-torque line as follows: –62·5 J, +105·7 J, –27·3 J, +63·3 J, –59·1 J, +25·2 J, –99·3 J and +54 J. Sketch the diagram and use it to find the mass of the flywheel, radius of gyration 220 mm, needed to keep the engine speed within the range 898 to 902 rev/min