Q1/ The camshaft of high speed pump consists of a parallel shaft 25 mm diameter and 480 mm long. It carries three eccentrics, each of diameter 60 mm and a uniform thickness of 18 mm. The assembly is symmetrical as shown in Figure(Q1) and the bearings are at A and B. The angle between the eccentrics is 120° and the eccentricity of each is 12.5 mm. The material density is 7000 kg/m3, and the speed of rotation is 1430 r.p.m. Find : 1. dynamic load on each bearing due to the out-of-balance couple; and 2. kinetic energy of the complete assembly. 80 80 25 Dia 120° !C 120120° 18 -240- C 480 All dimensions in mm

Q1/ The camshaft of high speed pump consists of a parallel shaft 25 mm diameter and 480 mm long. It carries three eccentrics, each of diameter 60 mm and a uniform thickness of 18 mm. The assembly is symmetrical as shown in Figure(Q1) and the bearings are at A and B. The angle between the eccentrics is 120° and the eccentricity of each is 12.5 mm. The material density is 7000 kg/m3, and the speed of rotation is 1430 r.p.m. Find : 1. dynamic load on each bearing due to the out-of-balance couple; and 2. kinetic energy of the complete assembly. 80 80 25 Dia 120° !C 120120° 18 -240- C 480 All dimensions in mm

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

See similar textbooks

Similar questions

The figure below depicts a camshaft assembly such as one that might be found in an automobile engine to open and close intake and exhaust valves. The cam is a circular disk of radius R with a hole of diameter R cut through it. As shown in the figure, the hole does not pass through the center of the disk. The cam with the hole cut out has mass M. The cam is mounted on a uniform, solid, cylindrical shaft of diameter R and also of mass M. What is the kinetic energy of the entire camshaft assembly when it is rotating with angular speed ? about the shaft's axis? (Use any variable or symbol stated above as necessary.)
The figure below depicts a camshaft assembly such as one that might be found in an automobile engine to open and close intake and exhaust valves. The cam is a circular disk of radius R with a hole of diameter R cut through it. As shown in the figure, the hole does not pass through the center of the disk. The cam with the hole cut out has mass M. The cam is mounted on a uniform, solid, cylindrical shaft of diameter R and also of mass M. What is the kinetic energy of the entire camshaft assembly when it is rotating with angular speed ω about the shaft's axis? (Use any variable or symbol stated above as necessary.)
A camshaft of four cams located at plane A, B, C, and D rotates at the mass eccentricity of 100 mm, 150 mm, 150 mm, and 200 mm, respectively. The planes are spaced at 500 mm apart and the magnitude of the cam masses at B, C, and D are 9 kg, 5 kg, and 4 kg, respectively. If the shaft must be completely balanced, calculate the required mass of cam A.
A cam consist of a ciruclar disc of diameter 80 mm with its center displaced 30 mm from the cainshaft axis. The follower has a flate surface (horizontal) in contact with cam and line of action of the follower is vertical and passes through the shaft axis. The mass of follower is 2.5 kg and is pressed downwards by a spring which has stiffness of 4.0 N/mm. In the lowest position the spring force is 50 N. Drive an expression for acceleration of the follower in terms of angle of rotation from the biginning of lift.
A cam, with a minimum radius of 25 mm, rotating clockwise at a uniform speed is to be designed to give a roller follower, at the end of a valve rod, motion described below : To raise the valve through 50 mm during 120° rotation of the cam To keep the valve fully raised through next 30° To lower the valve during next 120°; and To keep the valve closed during rest of the revolution i.e. 90° ; The diameter of the roller is 20 mm and the diameter of the cam shaft is 25 mm. The displacement of the valve, while being raised and lowered, is to take place with simple harmonic motion. b) Determine the maximum acceleration of the valve rod when the cam shaft rotates at 100 r.p.m.
A cam, with a minimum radius of 25 mm, rotating clockwise at a uniform speed is to be designed to give a roller follower, at the end of a valve rod, motion described below : To raise the valve through 50 mm during 120° rotation of the cam To keep the valve fully raised through next 30° To lower the valve during next 120°; and To keep the valve closed during rest of the revolution i.e. 90° ; The diameter of the roller is 20 mm and the diameter of the cam shaft is 25 mm. The displacement of the valve, while being raised and lowered, is to take place with simple harmonic motion. c) Draw the displacement, the velocity and the acceleration diagrams for one complete revolution of the cam.
Q6:- Particulars of a symmetric tangent cam operating a roller follower in a 4-stroke engine are as follows:- (a) basic circle radius=3 cm, (b) roller radius=1.5 cm, (c) angle of ascent=75°, (d) total lift=1.5 cm and (e) the engine speed=1200 rpm. Calculate:- (a) the principal dimensions, (b) maximum velocity and (c) maximum acceleration and deceleration.
A cam, with a minimum radius of 30 mm, rotating clockwise at a uniform speed is to be designed to give a roller follower, at the end of a valve rod, motion described below : To raise the valve through 60 mm during 150° rotation of the cam;To keep the valve fully raised through next 30° (Dwell);To lower the valve during next 90°; and To keep the valve closed during rest of the revolution i.e. 90° (Dwell); The diameter of the roller is 20 mm and the diameter of the cam shaft is 30 mm. Draw the displacement, the velocity and the acceleration diagrams for one complete revolution of the cam when the cam shaft rotates at 180 r.p.m. Draw the cam profile when the line of the stroke is offset 20 mm from the axis of the cam shaft. The displacement of the valve, while being raised is to take place with simple harmonic motion and lowered with uniform acceleration.
A cam, with a minimum radius of 25 mm, rotating clockwise at a uniform speed is to be designed to give a roller follower, at the end of a valve rod, motion described below : 1. To raise the valve through 50 mm during 120° rotation of the cam ; 2. To keep the valve fully raised through next 30°; 3. To lower the valve during next 120°; and 4. To keep the valve closed during rest of the revolution i.e. 90° ; The diameter of the roller is 20 mm and the diameter of the cam shaft is 25 mm. Draw the profile of the cam when (a) the line of stroke of the valve rod passes through the axis of the cam shaft, and (b) the line of the stroke is offset 15 mm from the axis of the cam shaft. The displacement of the valve, while being raised and lowered, is to take place with simple harmonic motion. Determine the maximum acceleration of the valve rod when the cam shaft rotates at 100 r.p.m. Draw the displacement, the velocity and the acceleration diagrams for one complete revolution of the cam.
a) An engine has a flywheel mass of 8-tonnes and a turning radius of 3 m. The energy fluctuation is 70 KN-m. The average speed of the engine is 160 rpm. Find the maximum speed value. b) A jet engine has a rotor with a weight of 500 N and this rotor rotates at 2400 rpm. Rotor It is suspended in the middle of the C and D bearings with a total distance of 600 mm between them and the center of gravity is rotated. 35 mm above its centre. By calculating the dynamic forces on the bearings, this system perform the balancing.
Shaft "a" in the figure rotates at 450 rev/min in the direction shown. Find the speed and direction of rotation of shaft "d".
A disc cam rotating in a clockwise direction is used to move a reciprocating roller with simple harmonic motion in a radial path, as given below: (1) Outstroke with maximum displacement of 25 mm during 120° of cam rotation, (ii) Dwell for 60° of cam rotation, (iii) Return stroke with maximum displacement of 25 mm during 90° of cam rotation, and (iv) Dwell during remaining 90° of cam rotation. The line of reciprocation of follower passes through the camshaft axis. The maximum radius of cam is 20 mm. If the roller diameter is 8 mm. Draw the profile of the cam when the line of reciprocation of the follower is offset by 20 mm towards right from the cam shaft axis.