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.

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)...
icon
Related questions
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
?
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
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
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Knowledge Booster
Normal Modes
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
College Physics
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:
9780321820464
Author:
Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:
Addison-Wesley
College Physics: A Strategic Approach (4th Editio…
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON