Explanation Result used: The functions y = a sin b x or y = a cos b x each has an amplitude of | a | and a period of 2 π b . Calculation: Given that, the velocity of a piston is v = 450 cos 3600 t , where t is the time in seconds. By the above mentioned result, the value of a and b for v = 450 cos 3600 t is 450 and 3600, respectively. That is, the amplitude of v = 450 cos 3600 t is | a | = 450 . Thus, the maximum and minimum values are 450 and –450, respectively. The period of v = 450 cos 3600 t will be, 2 π b = 2 π 3600 ( ∵ b = 3600 ) = π 1800 It is known that an important distance in sketching a sine or cosine curve is the values of the function for each one-fourth period. Thus, one-fourth of the period will be, 1 4 ( π 1800 ) = π 7200 . Substitute t = 0 in the equation v = 450 cos 3600 t . v = 450 cos 3600 t = 450 cos ( 3600 × 0 ) = 450 cos ( 0 ) = 450 ( 1 ) = 450 That is, when t = 0 , the value of v is the maximum value 450

11th Edition

ISBN: 9780134437705

Author: Washington

Publisher: PEARSON

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Chapter 10.2, Problem 41E

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To sketch: The velocity v=450cos3600t of a piston for 0≤t≤0.006, where t is in seconds.

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Chapter 10.2, Problem 40E

Chapter 10.2, Problem 42E

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Ch. 10.1 - For the graph of y = −6 sin x, set up a table of...Ch. 10.1 - Prob. 1E Ch. 10.1 - Prob. 2E Ch. 10.1 - Prob. 3E Ch. 10.1 - In Exercises 3–6, complete the following table for...Ch. 10.1 - Prob. 5E Ch. 10.1 - Prob. 6E Ch. 10.1 - In Exercises 7–22, give the amplitude and sketch...Ch. 10.1 - Prob. 8E Ch. 10.1 - Prob. 9E

Ch. 10.1 - Prob. 10E Ch. 10.1 - Prob. 11E Ch. 10.1 - Prob. 12E Ch. 10.1 - In Exercises 7–22, give the amplitude and sketch...Ch. 10.1 - In Exercises 7–22, give the amplitude and sketch...Ch. 10.1 - Prob. 15E Ch. 10.1 - Prob. 16E Ch. 10.1 - Prob. 17E Ch. 10.1 - Prob. 18E Ch. 10.1 - Prob. 19E Ch. 10.1 - Prob. 20E Ch. 10.1 - Prob. 21E Ch. 10.1 - Prob. 22E Ch. 10.1 - Prob. 23E Ch. 10.1 - Prob. 24E Ch. 10.1 - Prob. 25E Ch. 10.1 - Prob. 26E Ch. 10.1 - Prob. 27E Ch. 10.1 - Prob. 28E Ch. 10.1 - Prob. 29E Ch. 10.1 - Prob. 30E Ch. 10.1 - Prob. 31E Ch. 10.1 - In Exercises 27–32, solve the given problems. 32....Ch. 10.1 - Prob. 33E Ch. 10.1 - Prob. 34E Ch. 10.1 - Prob. 35E Ch. 10.1 - Prob. 36E Ch. 10.1 - Prob. 37E Ch. 10.1 - Prob. 38E Ch. 10.1 - Prob. 39E Ch. 10.1 - Prob. 40E Ch. 10.2 - Prob. 1PE Ch. 10.2 - Prob. 2PE Ch. 10.2 - Prob. 3PE Ch. 10.2 - Prob. 1E Ch. 10.2 - Prob. 2E Ch. 10.2 - Prob. 3E Ch. 10.2 - In Exercises 3–22, find the amplitude and period...Ch. 10.2 - Prob. 5E Ch. 10.2 - In Exercises 3–22, find the amplitude and period...Ch. 10.2 - 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The velocity v = 450 cos 3600 t of a piston for 0 ≤ t ≤ 0.006 , where t is in seconds.

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To sketch: The velocity v=450cos3600t of a piston for 0≤t≤0.006, where t is in seconds.

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Chapter 10 Solutions