A transverse wave on a string is described by the following wave function. y- 0115 an (* sat) = 0.115 sin + 5x where x and y are in meters and t is in seconds. (a) Determine the transverse speed att = 0.130 s for an element of the string located at x = 1.80 m. 1.804 This is the maximum transverse speed. It is unlikely that the element of the string at 1.80 m will happen to be traveling at this maximum speed at 0.130 s. m/s (b) Determine the transverse acceleration at t = 0.130 s for an element of the string located at x = 1.80 m. 1.242 Given the equation for the vertical position of elements of the string as a function of time, how do you determine the velocity of those elements as a function of time? m/s? (c) What is the wavelength of this wave? 24 (d) What is the period of this wave? 0.4 (e) What is the speed of propagation of this wave? 60 m/s

College Physics
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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
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A transverse wave on a string is described by the following wave function.
y = 0.115 sin
x+5xt
12
where x and y are in meters and t is in seconds.
(a) Determine the transverse speed at t = 0.130 s for an element of the string located at x = 1.80 m.
1.804
This is the maximum transverse speed. It is unlikely that the element of the string at 1.80 m will happen to be traveling at this maximum speed at 0.130 s. m/s
(b) Determine the transverse acceleration at t = 0.130 s for an element of the string located at x = 1.80 m.
1.242
Given the equation for the vertical position of elements of the string as a function of time, how do you determine the velocity of those elements as a function of time?
m/s?
(c) What is the wavelength of this wave?
24
(d) What is the period of this wave?
0.4
(e) What is the speed of propagation of this wave?
60
m/s
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Transcribed Image Text:A transverse wave on a string is described by the following wave function. y = 0.115 sin x+5xt 12 where x and y are in meters and t is in seconds. (a) Determine the transverse speed at t = 0.130 s for an element of the string located at x = 1.80 m. 1.804 This is the maximum transverse speed. It is unlikely that the element of the string at 1.80 m will happen to be traveling at this maximum speed at 0.130 s. m/s (b) Determine the transverse acceleration at t = 0.130 s for an element of the string located at x = 1.80 m. 1.242 Given the equation for the vertical position of elements of the string as a function of time, how do you determine the velocity of those elements as a function of time? m/s? (c) What is the wavelength of this wave? 24 (d) What is the period of this wave? 0.4 (e) What is the speed of propagation of this wave? 60 m/s Need Help? Watch It
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