How Do You Calculate Transverse Speed and Acceleration for a Wave on a String?

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SUMMARY

The discussion focuses on calculating the transverse speed and acceleration of a wave on a string described by the wave function y = (0.100 m) sin [(x/11 + 3t)]. To find the transverse speed at t = 0.150 s and x = 1.60 m, participants emphasize the need to compute the derivative of the sine function. The derivative of sin(x) is confirmed as cos(x), which is essential for solving part (a) of the problem. Additionally, the discussion highlights the need to determine the wavelength, period, and speed of propagation for part (b).

PREREQUISITES
  • Understanding of wave functions and their properties
  • Knowledge of derivatives, specifically trigonometric functions
  • Familiarity with the concepts of wavelength, period, and wave speed
  • Basic calculus skills for differentiation
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  • Review the process of differentiating trigonometric functions
  • Learn how to calculate wavelength and period from wave equations
  • Study the relationship between wave speed, frequency, and wavelength
  • Explore examples of transverse waves on strings in physics
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A transverse wave on a string is described by the following wave function.
y = (0.100 m) sin [(x/11 + 3t)]
  • (a) Determine the transverse speed and acceleration at t = 0.150 s for the point on the string located at x = 1.60 m.
  • (b) What are the wavelength, period, and speed of propagation of this wave?
  • wrong check mark

I know that to find the transverse speed i need to find the derivative. I need a refresher on the derivative of that sin function, because I am getting the wrong answer. Once i get part A ill find out part B.
thanks in advance :redface:
 
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The derivative of sin(x) is cos(x).
 

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