How to find tension given pulse equation?

Dec 2015
3
0
A transverse pulse is propagating on a 2.0 m long string of mass 50 g. The pulse is
described by the equation:

y(x,t)=pi/(pi+(3x/2+pi(t))^2)

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

ChipB

PHF Helper
Jun 2010
2,369
294
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?