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1) A pump shaft moves up and down in simple harmonic motion. A graph of the motion is shown below. 15 10 -5 -10 -15 -0.5 0.5 1 1.5 2.5 Time (seconds) a) What is the peak to peak amplitude of this motion in inches? b) What is the center to peak amplitude A (the one we will need for the equation) in inches? c) What is the period of this motion (in seconds)? d) Then what is the frequency of this motion in Hz? e) What is this frequency in radians? (The form we will need for the equation) f) If we choose to represent it as a sine function (as opposed to a cosine) what would the time offset be? g) What phase offset in radians corresponds to this time offset? h) Write the equation for the sinusoid, using a sine function Displacement (inches) LO

1) A pump shaft moves up and down in simple harmonic motion. A graph of the motion is shown below. 15 10 -5 -10 -15 -0.5 0.5 1 1.5 2.5 Time (seconds) a) What is the peak to peak amplitude of this motion in inches? b) What is the center to peak amplitude A (the one we will need for the equation) in inches? c) What is the period of this motion (in seconds)? d) Then what is the frequency of this motion in Hz? e) What is this frequency in radians? (The form we will need for the equation) f) If we choose to represent it as a sine function (as opposed to a cosine) what would the time offset be? g) What phase offset in radians corresponds to this time offset? h) Write the equation for the sinusoid, using a sine function Displacement (inches) LO

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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1) A pump shaft moves up and down in simple harmonic motion. A graph of the motion is shown below. 15 10 -5 -10 -15 -0.5 0.5 1 1.5 2.5 Time (seconds) a) What is the peak to peak amplitude of this motion in inches? b) What is the center to peak amplitude A (the one we will need for the equation) in inches? c) What is the period of this motion (in seconds)? d) Then what is the frequency of this motion in Hz? e) What is this frequency in radians? (The form we will need for the equation) f) If we choose to represent it as a sine function (as opposed to a cosine) what would the time offset be? g) What phase offset in radians corresponds to this time offset? h) Write the equation for the sinusoid, using a sine function Displacement (inches) 2.
Transcribed Image Text:1) A pump shaft moves up and down in simple harmonic motion. A graph of the motion is shown below. 15 10 -5 -10 -15 -0.5 0.5 1 1.5 2.5 Time (seconds) a) What is the peak to peak amplitude of this motion in inches? b) What is the center to peak amplitude A (the one we will need for the equation) in inches? c) What is the period of this motion (in seconds)? d) Then what is the frequency of this motion in Hz? e) What is this frequency in radians? (The form we will need for the equation) f) If we choose to represent it as a sine function (as opposed to a cosine) what would the time offset be? g) What phase offset in radians corresponds to this time offset? h) Write the equation for the sinusoid, using a sine function Displacement (inches) 2.
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