Homework 14 Wave x Homework 14 waves x OC Physics question Chegg x E c D www.web

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Homework 14 Wave x Homework 14 waves x OC Physics question Chegg x E c D www.webassign.ne 13699330 t/web/Student/Assignment-Responses/submit?dep 3. 2/6 points Previous Answers SerPSET9 16.P.009.MI My Notes Ask Your Teacher The wave function for a traveling wave on a taut string is (in SI units. y(x,t 0.360 sin 81 1Tx (a) What are the speed and direction of travel of the wave? speed m/s direction positive x-direction v (b) What is the vertical position of an element of the string at t 0, x 0.114 m? c) What is the wavelength of the wave (d) What is the frequency of the wave HZ (e) What is the maximum transverse speed of an element of the string m/s Need Help? Read It Master It Submit Answer Save Progress Practice Another Version 4. 111 points Previous Answers SerPSET9 16.P.022. My Notes Ask Your Teacher A piano string having a mass per unit length equal to 5.40 x 10 3 kg/m is under a tension of 1 450 N. Find the speed with which a wave travels on this string m/s

Explanation / Answer

wave equation y(x,t) = A*sin(wt - kx + phi)

given wave equation

y(x,t) = 0.36*sin(8pit - 1pix + pi/4)

comparing with standard equation

amplitude A = 0.36 m

angular frequencu w = 8pi

wavenumber k = pi

phase difference phi = pi/4

(a)

speed v = w/k = 8 m/s

(b)

y = 0.36*sin((8*pi*0)-(pi*0.114)+pi/4 )

y = 0.15 m

(c)

wavelength lambda = 2pi/k = 2 m

(d)

f = w/2pi = 8pi/(2*pi) = 4 Hz

(e)

Vmax = A*w = 0.36*8*pi = 9.05 m/s

++++++++++++++++++++++++++++

speed of transvese wave = v = sqrt(T/u)

T = tension force

u = mass per unit length

v = sqrt(1450/(5.4*10^-3)) = 519 m/s

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