Q8. The turbine rotor of a ship has a mass of 4000 kg and a radius of gyration of480 mm. It rotates at 2400 rev/min. clockwise when looking forward from thestern. In each of the following cases, determine the magnitude and indicateclearly with suitable diagrams the effect of the gyroscopic couple acting on theship:(a)(b)(c)If the ship, when travelling at 15 ms¹ turns to starboard in acurve of 1000m radius.If the ship is pitching and the bow is descending with maximumvelocity. The pitching motion is simple harmonic, the period being20 seconds and the total angular movement is 12º.If the ship is rolling and at a certain instant has an angular velocityof 0.02 rad/sec. clockwise when looking forward from the stern.

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Answered: Q8. The turbine rotor of a ship has a…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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HW6 A ship has its turbine engine mounted with its axis of rotation lengthways in the ship. When viewed from the back, the engine rotates anticlockwise at 200 rev/min. The effective rotating mass of the engine is 250 kg with a radius of gyration of 0.35 m. Calculate the magnitude of the gyroscopic couple produced when the ship turns left on a radius of 350 m with a velocity of 4 m/s. Explain clearly the effect of the couple on the motion of the ship.
A single cylinder reciprocating engine has speeded 300 RPM. Stroke 250 mm, mass of reciprocating parts 50 kg. Mass of revolving parts at 150 mm radius 37 kg. If two fourth of the reciprocating parts and all the revolving parts are to be balanced, find (i) The balance mass required at 400 mm radius (ii) The residual unbalanced force when the crank has rotated 45° TDC.
20. A thrust of 30 kN along the axis of a shaft is taken by a pivot bearing consisting of the frustum of a cone. The outer and inner diameters are 200 mm and 100 mm and the semi-angle of the cone is 60°. The shaft speed is 200 rev/min 0-02. Assuming that the intensity of pressure is uniform over the surface of the bearing, find, from first principles (a) the magnitude of this pros- sure, in N/m²; (b) the power absorbed in friction. (U. Lond.) and (Ans.: 1.272 MN/m²; 1.13 kW)
6. The turbine of a ship has a mass of 4000 kg. and a radius of gyration of 480 mm. It rotates at 2400 rev/min. clockwise when looking forward from the stern. In each of the following cases determine, the magnitude and indicate clearly with suitable diagrams. the effect of the gyroscopic couple acting on the ship: (a) If the ship, when travelling at 15 ms¹ turns to starboard in a curve 1000 m radius. (b) If the ship is pitching and the bow is descending with maximum velocity. The pitching motion is simple harmonic, the period being 20 seconds and the total angular movement is 12º. (c) If the ship is rolling and at a certain instant has an angular velocity of 0.02 rad. s-¹ clockwise when looking forward from the stern.
A cord 3.0 m long is coiled around the axle of a wheel. The cord is pulled with a constant force of 40 N. When the cord leaves the axle, the wheel is rotating at 2.0 rev/s. Determine the moment of inertia of the wheel and axle. Neglect friction.
A single cylinder horizontal engine runs at 120 r.p.m. The length of stroke is 400 mm. The mass of the revolving parts assumed concentrated at the crank pin is 100 kg and mass of the reciprocating parts is 150 kg. Determine the magnitude of the balancing mass required to be placed opposite to the crank at a radius of 150mm which is equivalent to all the revolving and 2/3rd of the reciprocat- ing masses. If the crank turns 30° from the inner dead centre, find the magnitude of the unbalanced force due to the balancing mass.
Q2: The turbine rotor of a ship has a mass of 2.2 tones and rotates at 1800 rpm clockwise when viewed from the aft (rear). The radius of gyration of the rotor is 320 mm. Determine the gyroscopic couple and its effect when the (i) ship turns right at a radius of 250 m with a speed 25 km/h (ii) ship pitches with the bow rising at an angular velocity of 0.8 rad/s (iii) ship rolls at an angular velocity of 0.1 rad/s.
HW8 An airplane makes a complete half circle of 50 meters radius, towards left, when flying at 200 km/h. The rotary engine and the propeller of the plane has a mass of 400 kg and a radius of gyration of 0.3 m. The engine rotate at 2400 r.p.m. anticlockwise when viewed from the rear. Find the gyroscopic couple on the airplane and state its effect on it.
For a cam follower at a constant angular velocity of wcam = 8550 rpm, downward acceleration of af = 111,000 ft/s², total follower weight of 1 lb, pressure angle of 20°, where the direction of the total force to the cam center is perpendicular at d = 0.75 inch. Determine the torque required to drive the cam. 2. Spring A,(111,000 ft/s2) in. diameter n.= 8550 rpm in. 45° in.
M M 1.5m m M m = 2kg. M = 3.5kg a) justify whether the moment of inertia about the vertical or horizontal axis have smaller value. Show your calculation. (b) Given angular velocity of 80 rev s¹ in 240 rev. Has a moment of inertia of 1.41x10-3 kg m2. Find: (i) angular acceleration. (ii) net constant torque must apply (c) A space station consists of a giant rotating hollow cylinder of mass 10 kg including people on the station and a radius of 100 m. Given initial angular velocity of 3.3rpm in order to generate artificial gravity. If 100. people, each with an average mass of 65 kg spacewalk to an awaiting spaceship. Find the new angular velocity (in rpm) once all the people are off the station. (d) Suppose a child walks from the outer edge of a rotating merry-go-round to the center. What happend to the angular velocity of the merry-go-round does it increase, decrease, or remain the same? By using the conservation of angular momentum, explain your answer qualitatively.. A large train has…
An engine is fitted with a flywheel that has a mass of 22.5 kg and has a radius of gyration of 0.2 m. The load torque is constant and the crankshaft torque can be represented by the expressionTorque = 4a + a sin θ + a sin 2θwhere θ is the crank angle.When the engine develops 7.5 kW at 600 revs/min, find:(a) The crank angle at which the engine torque is equal to the loadtorque(b) The coefficient of cyclical speed fluctuation(c) The maximum angular acceleration of the flywheel.
A single cylinder horizontal engine runs at 120 r.p.m. The length of stroke is 400 mm. The mass ofthe revolving parts assumed concentrated at the crank pin is 100 kg and mass of the reciprocatingparts is 150 kg. Determine the magnitude of the balancing mass required to be placed opposite tothe crank at a radius of 150mm which is equivalent to all the revolving and 2/3rd of the reciprocating masses. If the crank turns 30° from the inner dead centre, find the magnitude of the unbalancedforce due to the balancing mass solve graphically

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