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

AI Thread Summary
To calculate the transverse speed and acceleration of a wave on a string described by the function y = (0.100 m) sin [(x/11 + 3t)], the derivative of the sine function is essential. The transverse speed is found by taking the partial derivative of the wave function with respect to time, while the transverse acceleration requires the second derivative. For part B, the wavelength, period, and speed of propagation can be determined using the wave equation parameters. The discussion highlights the need for clarity on derivatives to solve these problems accurately. Understanding these calculations is crucial for analyzing wave motion effectively.
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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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