Solved: Work To determine the size of the motor required to operate a press, a company

Chapter 5, Problem 43

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To determine the size of the motor required to operate a press, a company must know the amount of work done when the press moves an object linearly 5 feet. The variable force to move the object is

\(F(x)=100 x \sqrt{125-x^{3}}\)

where F is given in pounds and x gives the position of the unit in feet. Use Simpson's Rule with n=12 to approximate the work W (in foot-pounds) done through one cycle when

\(W=\int_{0}^{5} F(x) d x\)

Text Transcription:

F(x)=100 x sqrt 125-x^3

W=int_0^5 F(x) d x