Where on a Transverse Wave is Maximum Speed Achieved?

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SUMMARY

The maximum speed of a sinusoidal traveling transverse wave occurs at the equilibrium position, specifically along the x-axis where y=0. Given a frequency of 10.0 Hz and a wave speed of 25.0 m/s, the points of maximum speed are located between the wave's amplitudes. This conclusion is based on the understanding that the speed of the wave is highest at the equilibrium position due to the nature of sinusoidal motion.

PREREQUISITES
  • Understanding of sinusoidal wave properties
  • Knowledge of wave speed, frequency, and wavelength relationships
  • Familiarity with the concept of equilibrium position in wave motion
  • Basic trigonometry for wave function analysis
NEXT STEPS
  • Study the mathematical representation of sinusoidal waves
  • Learn about wave speed calculations using the formula v = wavelength * frequency
  • Explore the relationship between amplitude and speed in transverse waves
  • Investigate the effects of tension and mass density on wave speed
USEFUL FOR

Students studying physics, particularly those focusing on wave mechanics, as well as educators seeking to clarify concepts related to transverse waves and their properties.

akd28
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Homework Statement


A sinusoidal traveling transverse string wave has a frequency of 10.0 Hz and travels at 25.0m/s along the x-axis. Loacte the points on the string that have maximum speed at any given time.


Homework Equations


I know that v= wavelength / T = wavelength * f

The Attempt at a Solution


I don't actually have to determine the maximum velocity as a number, but instead I have to find the points on a wave drawing that have maximum speed. I have a feeling that the maximum speed would occur on the x-axis at y=0 (so basically the the points between amplitudes). But I don't know if this is correct reasoning or not, can you help??

Thanks!
 
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You are correct.
 
Thanks for your help!
 

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