College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Question
Part D)
For a cosine function with amplitude A=0.75�=0.75 and period T=10�=10, what is y(4)�(4)?
Express your answer to three significant figures.
![string at a specific location over time, then you get a
graph of shape y(t). If this is a simple sinusoidal wave
(such as the standing wave harmonics found in musical
instruments), then you can write
u(t) = A sin(wt).
Figure
2π
ÄA
(0
1 of 2 >
The function y = sin(t) oscillates between a minimum value of y = -1 and a maximum value of y = 1. Multiplying
this function by a number A changes the minimum and maximum values, increasing the magnitudes if A > 1 and
decreasing the magnitudes if A < 1.
Part A
Give the minimum and maximum values of the function y = 3 sin(t).
Give the minimum value followed by the maximum value, separated by a comma.
——| ΑΣΦ
Submit
Request Answer
?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5e3eb5b9-70f9-4c46-81e8-c844c47acf22%2F48508b61-045d-47e3-ab9f-5bdee307114b%2Ffeh6v4j_processed.png&w=3840&q=75)
Transcribed Image Text:string at a specific location over time, then you get a
graph of shape y(t). If this is a simple sinusoidal wave
(such as the standing wave harmonics found in musical
instruments), then you can write
u(t) = A sin(wt).
Figure
2π
ÄA
(0
1 of 2 >
The function y = sin(t) oscillates between a minimum value of y = -1 and a maximum value of y = 1. Multiplying
this function by a number A changes the minimum and maximum values, increasing the magnitudes if A > 1 and
decreasing the magnitudes if A < 1.
Part A
Give the minimum and maximum values of the function y = 3 sin(t).
Give the minimum value followed by the maximum value, separated by a comma.
——| ΑΣΦ
Submit
Request Answer
?
![y(t) = A sin(wt),
where A is the amplitude of the wave and w is the
angular frequency. (Figure 1) shows how these quantities
appear in the graph of y(t) = A sin(wt). Note that
when you are graphing the sine function, the argument
(wt) is in radians. In this problem, we will look at the sine
function, which is useful for modeling the motion of
everything from pendulums to ocean tides.
Figure
2T
1 of 2
t
What is the period T of the function y = 3 sin (4t)?
Express your answer to three significant figures.
T =
Submit Request Answer
Part C
ΑΣΦ
y(4) =
For a sine function with amplitude A = 0.75 and period T = 10, what is y(4)?
Express your answer to three significant figures.
► View Available Hint(s)
?
VG ΑΣΦ
?
Review | Constants | Periodic Table](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5e3eb5b9-70f9-4c46-81e8-c844c47acf22%2F48508b61-045d-47e3-ab9f-5bdee307114b%2Fsj7nfha_processed.png&w=3840&q=75)
Transcribed Image Text:y(t) = A sin(wt),
where A is the amplitude of the wave and w is the
angular frequency. (Figure 1) shows how these quantities
appear in the graph of y(t) = A sin(wt). Note that
when you are graphing the sine function, the argument
(wt) is in radians. In this problem, we will look at the sine
function, which is useful for modeling the motion of
everything from pendulums to ocean tides.
Figure
2T
1 of 2
t
What is the period T of the function y = 3 sin (4t)?
Express your answer to three significant figures.
T =
Submit Request Answer
Part C
ΑΣΦ
y(4) =
For a sine function with amplitude A = 0.75 and period T = 10, what is y(4)?
Express your answer to three significant figures.
► View Available Hint(s)
?
VG ΑΣΦ
?
Review | Constants | Periodic Table
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