How to find tension given pulse equation?

Dec 2015
A transverse pulse is propagating on a 2.0 m long string of mass 50 g. The pulse is
described by the equation:


, with x and y in meters, and t in seconds.
Find the tension in the string.


PHF Helper
Jun 2010
Morristown, NJ USA
The equation to use that relates tension in the string to velocity of propagation is:

You can take the time derivative of your y(x,t) formula to find v as a functioj of x and t. However, I must say your equation is a bit confusing. What you wrote is this:

Do you really mean to suggest that pi is a function of t?