Numerical Methods for Engineers
Numerical Methods for Engineers
7th Edition
ISBN: 9780073397924
Author: Steven C. Chapra Dr., Raymond P. Canale
Publisher: McGraw-Hill Education
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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

s = n n R n

where n = revolutions per second of rotating stator speed and n n R = rotor speed. Kirchhoff's laws can be used to show that the torque (expressed in dimensionless form) and slip are related by

T = 15 ( s s 2 ) ( 1 s ) ( 4 s 2 3 s + 4 )

Figure P16.25 shows this function. Use a numerical method to determine the slip at which the maximum torque occurs.

Chapter 16, Problem 25P, 16.25	The torque transmitted to an induction motor is a function of the slip between the rotation of

FIGURE P16.25

Torque transmitted to an inductor as a function of slip.

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