EBK NUMERICAL METHODS FOR ENGINEERS
7th Edition
ISBN: 9780100254145
Author: Chapra
Publisher: YUZU
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Chapter 16, Problem 25P
The torque transmitted to an induction motor is a function of the slip between the rotation of the stator field and the rotor speed s where slip is defined as
where
Figure P16.25 shows this function. Use a numerical method to determine the slip at which the maximum torque occurs.
FIGURE P16.25
Torque transmitted to an inductor as a function of slip.
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Damian’s car weighs 2000kg. The spring has a natural unstretched length of 2m and a spring constant of k = 80000N/m. Hooke's law can be written as T = kd. Where T is the tension force in newtons, k is the spring constant and d is the length in metres.
Let x(t) be the position of the front of Damian’s car and let y(t) be the position of the back of Eva’s 4WD. We will assume that the position of Eva’s car is a known function of time.
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Torque and Power Diagrams
The brochure of the same passenger car contains the following data,
too:
Gears and their fixed ratios of the shiftable gearbox:
1st gear: 3.5 :1 2nd gear: 2:1 3rd gear: 1.5 : 1 4th gear: 1:1
Efficiency of the gearbox:
n = 0.95
%3D
Please draw
four torque graphs and the graph for Po = 71.25 KW
%3D
%D
constant at the output shaft of the gearbox!
Chapter 16 Solutions
EBK NUMERICAL METHODS FOR ENGINEERS
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