Completely Lost in this Physics Problem Sinusoidal transverse waves

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SUMMARY

The discussion focuses on solving a physics problem involving sinusoidal transverse waves on a string. The wave travels at a speed of 10.00 cm/s, with a displacement equation given by y = (5.0 cm) sin[16.0 - (8.0 s-1)t]. Key calculations include determining the frequency, wavelength, and tension in the string, with the linear density specified as 7.0 g/cm. Participants emphasize the importance of showing work to receive assistance in solving the problem.

PREREQUISITES
  • Understanding of sinusoidal wave equations
  • Knowledge of wave speed, frequency, and wavelength relationships
  • Familiarity with linear density in physics
  • Basic skills in algebra for manipulating equations
NEXT STEPS
  • Calculate the frequency of the wave using the formula f = v/λ
  • Determine the wavelength from the wave equation provided
  • Formulate the general equation for transverse displacement y(x,t)
  • Calculate the tension in the string using the linear density and wave speed
USEFUL FOR

Students studying wave mechanics, physics educators, and anyone seeking to understand the properties of sinusoidal waves and their mathematical representations.

cahardy86
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A sinusoidal wave is traveling on a string with speed 10.00 cm/s. The displacement of the particles of the string at x = 20 cm is found to vary with time according to the equation y = (5.0 cm) sin[16.0 - (8.0 s-1)t]. The linear density of the string is 7.0 g/cm.
(a) What is the frequency of the wave?
s-1
(b) What is the wavelength of the wave?
cm

(c) Give the general equation giving the transverse displacement of the particles of the string as a function of position and time.
y(x,t) = (5.0 cm) sin[( cm-1)x - ( s-1)t]

(d) Calculate the tension in the string.
 
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please show us some work you have done on this problem. We can't help you unless you've shown some efforts from your side.

[i'm surprised there is no template made already for this]
 
i am completely lost i don't know where to start..so some direction would be nice.
 
i know f=1/T..but how do you find T from this problem?
 
T is the period, ie the time of one oscillation. Now look at your equation, it resembles a wave through the sine function and the question then is: by what amount do you have to change the time "t" to make the sine go around one time?
 

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