Explanation Approach: Simple Harmonic Motion: If the equation describing the displacement y of an object at time t is y = a sin ⁡ ω t - c + b or y = a cos ⁡ ω t - c + b then the object is in simple harmonic motion. In this case, Amplitude a = a Period p = 2 π ω Frequency f = ω 2 π c represents the position of the object at time t = 0 . b represents the vertical shift. Calculation: It is given that the fans rotate counter clockwise at the rate of 100 revolutions per minute To determine (b) To state: Whether the fans are rotating in phase and find the angle of the fan A to be rotated in order to make them in phase.

4th Edition

ISBN: 8220100548512

Author: Watson

Publisher: CENGAGE L

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Chapter 6.6, Problem 61E

To determine

(a)

To find:

The equation that gives the height of the red dot (above the horizontal line shown) t minutes after the fans are switched on.

To determine

(b)

To state:

Whether the fans are rotating in phase and find the angle of the fan A to be rotated in order to make them in phase.

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Chapter 6.6, Problem 60E

Chapter 6.6, Problem 62E

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(a) To find: The equation that gives the height of the red dot (above the horizontal line shown) t minutes after the fans are switched on.

Solution Summary: The author explains the equation that gives the height of the red dot (above the horizontal line) t minutes after the fans are switched on.