Question

A transverse wave on a string is described by the following wave function. y = 0.115 sin(π/10 x + 3πt) where x and y are in meters and t is in seconds. (a) Determine the transverse speed at t = 0.120 s for an element of the string located at x = 1.50 m. m/s (b) Determine the transverse acceleration at t = 0.120 s for an element of the string located at x = 1.50 m. m/s2 (c) What is the wavelength of this wave? m (d) What is the period of this wave? s (e) What is the speed of propagation of this wave? m/s

          A transverse wave on a string is described by the following wave function.
y = 0.115 sin(π/10 x + 3πt)
where x and y are in meters and t is in seconds.
(a) Determine the transverse speed at t = 0.120 s for an element of the string located at x = 1.50 m.
 m/s

(b) Determine the transverse acceleration at t = 0.120 s for an element of the string located at x = 1.50 m.
 m/s2

(c) What is the wavelength of this wave?
 m

(d) What is the period of this wave?
 s

(e) What is the speed of propagation of this wave?
 m/s
        
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Added by Sean K.

University Physics with Modern Physics
University Physics with Modern Physics
Hugh D. Young 14th Edition
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A transverse wave on a string is described by the following wave function. y = 0.115 sin(π/10 x + 3πt) where x and y are in meters and t is in seconds. (a) Determine the transverse speed at t = 0.120 s for an element of the string located at x = 1.50 m. m/s (b) Determine the transverse acceleration at t = 0.120 s for an element of the string located at x = 1.50 m. m/s2 (c) What is the wavelength of this wave? m (d) What is the period of this wave? s (e) What is the speed of propagation of this wave? m/s
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Transcript

-
00:01 All right, so let's say the transverse displacement of a wave as a function of x and t is given by 0 .115 meters times the sign of 10 pi x plus 3 pi t.
00:16 And so we want to know what's the speed, the transverse speed of the wave at 1 .2 seconds.
00:22 So this is going to be 3 pi times 0 .115 meters times 3 .5 meters times the wave...
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