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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.

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.

Classical Dynamics of Particles and Systems
Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter13: Continuous Systems; Waves
Section: Chapter Questions
Problem 13.20P
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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
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