One end of a string 9.0 m long is moved up and down with simple harmonic motion

Question

One end of a string 9.0 m long is moved up and down with simple harmonic motion at a frequency of 50 Hz. The waves reach the other end of the string in 0.60 s. Find the wavelength of the waves on the string. cm eBook o-16 points Tipler6 15.P.041 My Notes Ask Your Teacher The wave function for a harmonic wave on a string is y(x, t) (0.0020 m) sin ( (64.8 mx(305 s-1)t) (a) In what dlrection does this wave travel? +X What is its speed? m/s (b) Find the wavelength or thls wave Find its frequency. FInd its perlod Hz (c) What is the maximum speed of any string segment? m/s eBook

Explanation / Answer

ONly one question can be posted as per chegg guidlines

1.

speed of wave

V=x/t =9/0.6 =15 m/s

wavelength

lambda =V/f =15/50 =0.3 m

lambda =30 cm

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2.

a)

-X direction

b)

Speed of Wave

V=W/K =305/64.8 =4.7068 m/s

c)

Wavelength

lambda =2pi/K =2pi/64.8

lambda =0.09696 m

frequency

f=V*lambda =4.7068*0.09696

f=0.4564 Hz

Period

T=1/f =1/0.4564 =2.19 s

c)

Maximum speed

Vmax=AW=0.002*305

Vmax=0.61 m/s

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