1) A wave pulse propogating on a guitar string is defined by the wavefunction y(
ID: 2278160 • Letter: 1
Question
1) A wave pulse propogating on a guitar string is defined by the wavefunction y(x,t) = 2.0/[(x-3t)2+1]
The string has a length of 12m, and is attached to a wall on each end. Calculate the transverse velocity (magnitude AND direction) of a point 3.0 m from the left end of the string at the following times:
a) 0.5 sec, b) 1.0 sec c) 2.0 sec
Hints:
A: This is the same wave pulse we graphed in class on the old-school TI-83 calculator. Take a look at the pulse at 0 sec, 0.5 sec, 1 sec, and 2 sec. Sketch those graphs.
B: How do you find velocity when given position? How do we find this when velocity is a function of two variables?
C: Be sure to label the direction on your answers! Hint: the direction of transverse velocity isn
Explanation / Answer
differentiate theabove equation wrt t keeping x as constant
we get velocity of the particle as
2)put t=1 and x = 3 = 0
3)put t=2 and x = 3
pls calculate 1 and 3
no calc..:/
http://www.derivative-calculator.net/
1)put t=0.5 and x = 3
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