Mechanical sinusoidal transverse wave

AI Thread Summary
A sinusoidal transverse wave is moving along a string with a tension of 6.8N and a linear density of 47.22 g/m. The discussion focuses on calculating key wave properties, including amplitude, wavelength, wave speed, period, maximum transverse speed, and phase angle. Participants emphasize the importance of using consistent SI units for accurate calculations, particularly converting linear density to kg/m. Clarifications are made regarding the difference between wave speed and maximum transverse speed. Ultimately, the calculations for wavelength, wave speed, and period are successfully completed, and the amplitude is determined.
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[SOLVED] mechanical waves

Homework Statement


A sinusoidal transverse wave is traveling along a string in the negative direction of an x-axis. The figure shows a plot of the displacement as a function of position at time t=0; the y-intercept is 4.0m. The string tension is 6.8N, and its linear density is 47.22 g/m.

Find the amplitude (cm).
Find the wavelength (cm).
Find the wave speed (cm/s).
Find the period of the wave.
Find the maximum transverse speed of a particle in the string.
What is the phase angle in degrees?

Homework Equations





The Attempt at a Solution


So linear density is the mass per unit length. it's not in the units we want (kg/cm), so convert and get 4.722E-4 kg/cm.
wave speed = sqrt(T/wave length) = sqrt(6.8/4.722E-4), but this isn't the right answer. did i convert wrong?

also I'm having trouble finding the amplitude and wave length, probably for the same reason as above.
 

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it is better to start from meter and kg, since N is in terms of these SI units. after calculation, you can always convert back to cm to give answers.
 
ok, got that wavelength wave sped and period. what is the difference between wave speed and max transverse speed? also, I'm sure this is really obvious but i can't figure out the amplitude either
 
never mind i got it, thanks
 
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