Calculating Characteristics of a Sinusoidal Wave Propagating on a String

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SUMMARY

A sinusoidal wave propagating along a string in the +x direction has been analyzed, revealing key characteristics. The wave speed is established at 30 m/s, with an oscillation speed of 2.5 mm/s in the Y direction and a transverse displacement of 1.5 mm at t=0 and x=0. The wave equation is defined as y(x,t) = A sin(kx - wt - φ), where the amplitude of oscillation, phase shift, and wavelength need to be determined. The discussion highlights the complexity of the problem, indicating it is suitable for college-level physics with thermodynamics.

PREREQUISITES
  • Understanding of sinusoidal wave properties
  • Familiarity with wave equations and parameters (A, k, w, φ)
  • Knowledge of wave propagation speed and oscillation speed
  • Basic concepts of transverse displacement in waves
NEXT STEPS
  • Calculate the amplitude of oscillation using given parameters
  • Determine the phase shift (φ) for the wave equation
  • Find the wavelength using the relationship between wave speed and frequency
  • Explore the complete wave equation for sinusoidal waves
USEFUL FOR

Students studying physics, particularly those focusing on wave mechanics and thermodynamics, as well as educators seeking to understand sinusoidal wave characteristics in a practical context.

potatonet
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probably easy question

a sinusoidal wave is propagating along a string in the +x direction. 10 waves pass by a point every 10 microseconds. the wave exhibits the following characteristics:

a) at t=0 and x=0 , the wave propagation speed is 30 m/s, and the Oscillation speed is 2.5 mm/s in the Y direction.

b) at t=0 and x=0 the wave has a transverse displacement of 1.5mm

using y(x,t) = A sin (kx-wt - phi)

determine:
amplitude of oscillation (couldnt do)
phase shift (dont know if there is one)
wavelength
and the complete equation for the wave

any help would be great, its really easy, I am just drawing a blank for some reason. (spring break)
 
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never mind got it, didnt find phase shift tho, I looked at the problem a little more in depth
 
yeah too bad that this is actually a college question for physics with thermodynamics.
 

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