Q3 of 97 Page 323

Figure (15-E1) shows a wave pulse at t = 0. The pulse moves to the right with a speed of 10 cm s−1. Sketch the shape of the string at t = 1 s, 2 s and 3 s.



The speed is 10 cms-1


So, at 1 s the pulse will be at 10 cm.



At 2 s the pulse will be at


X=2x10cm


=20 cm



At 2 s the pulse will be at


X=3x10cm


=30 cm


More from this chapter

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1

A wave pulse passing on a string with a speed of 40 cm s−1 in the negative x-direction has its maximum at x = 0 at t = 0. Where will this maximum be located at t = 5 s?

 2

The equation of a wave travelling on a string stretched along the X-axis is given by

.


(A) Write the dimensions of A, a and T. (B) Find the wave speed. (C) In which direction is the wave travelling? (D) Where is the maximum of the pulse located at t = T? At t = 2 T?


 4

A pulse travelling on a string is represented by the function

,


where a = 5 mm and υ = 20 cm s−1. Sketch the shape of the string at t = 0, 1 s and 2 s. Take x = 0 in the middle of the string.


 5

The displacement of the particle at x = 0 of a stretched string carrying a wave in the positive x-direction is given by f(t) = A sin(t/T). The wave speed is υ. Write the wave equation.