A transverse wave on a string is described by the following wave function. y = 0.115 sin πx + 3πt 10 where x and y are in meters and t is in seconds. (a) Determine the transverse speed at t = 0.300 s for an element of the string located at x = 1.50 m. -0.294 x 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 (b) Determine the transverse acceleration at t = 0.300 s for an element of the string located at x = 1.50 m. 17.32 x 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/s² (c) What is the wavelength of this wave? 20 m (d) What is the period of this wave? 0.667 S (e) What is the speed of propagation of this wave? 30 m/s

College Physics
11th Edition
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Chapter1: Units, Trigonometry. And Vectors
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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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2.1

A transverse wave on a string is described by the following wave function.
y = 0.115 sin
πx + 3πt
10
where x and y are in meters and t is in seconds.
(a) Determine the transverse speed at t = 0.300 s for an element of the string located at x = 1.50 m.
-0.294
x
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
(b) Determine the transverse acceleration at t = 0.300 s for an element of the string located at x = 1.50 m.
17.32
x
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/s²
(c) What is the wavelength of this wave?
20
m
(d) What is the period of this wave?
0.667
S
(e) What is the speed of propagation of this wave?
30
m/s
Transcribed Image Text:A transverse wave on a string is described by the following wave function. y = 0.115 sin πx + 3πt 10 where x and y are in meters and t is in seconds. (a) Determine the transverse speed at t = 0.300 s for an element of the string located at x = 1.50 m. -0.294 x 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 (b) Determine the transverse acceleration at t = 0.300 s for an element of the string located at x = 1.50 m. 17.32 x 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/s² (c) What is the wavelength of this wave? 20 m (d) What is the period of this wave? 0.667 S (e) What is the speed of propagation of this wave? 30 m/s
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