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Mechanical sinusoidal transverse wave

  • Thread starter NAkid
  • Start date
70
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[SOLVED] mechanical waves

1. 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?

2. Homework Equations



3. 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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Answers and Replies

70
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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.
 
70
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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
 
70
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never mind i got it, thanks
 

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