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: 2818000007824

Author: Stewart

Publisher: CENGAGE L

See similar textbooks

Videos

Question

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.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 6.6, Problem 60E

Chapter 6.6, Problem 62E

Students have asked these similar questions

The maximum voltage in a simple generator is V. The changing voltage v as the coil rotates is given by v = V sin(x). The figure below is the graph of this equation for two complete revolutions of the coil when V = 38V. The x y-coordinate plane is given. The curve begins at the origin, goes up and right, passes through the approximate point (45°, 26.9), changes direction at the point (90°, 38), goes down and right, passes through the approximate point (135°, 26.9), crosses the x-axis at x = 180°, passes through the approximate point (225°, −26.9), changes direction at the point (270°, −38), goes up and right, passes through the approximate point (295°, −34.4), crosses the x-axis at x = 360°, changes direction at the point (450°, 38), goes down and right, crosses the x-axis at x = 540°, changes direction at the point (630°, −38), goes up and right, and ends at the point (720°, 0). Estimate the value of v (in V) at x = 45° and x = 295°. (Round your answers the nearest integer.)

Find the rate of change for the distance between two boats?

Chapter 6 Solutions

ALGEBRA AND TRIGONOMETRY-WEBASSIGN

Ch. 6.1 - Prob. 1E Ch. 6.1 - a If we mark off a distance t along the unit...Ch. 6.1 - Prob. 3E Ch. 6.1 - Prob. 4E Ch. 6.1 - Prob. 5E Ch. 6.1 - 3 8. Points on the Unit Circle Show that the...Ch. 6.1 - 3 8. Points on the Unit Circle Show that the...Ch. 6.1 - Prob. 8E Ch. 6.1 - Prob. 9E Ch. 6.1 - Prob. 10E

Knowledge Booster

$Algebra$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.

(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.