Question

B.4) A harmonic wave with a frequency of 80Hz and an amplitude of 0.025m travels along a string to the right with a speed of 12m/s. a) Write a suitable wave function for this wave. b) Find the maximum speed of a point on the string. c) Find the maximum acceleration of a point on the string. ​

Answer 1

Answer: The wave is travelling along the length of a string, while particles constituting the string are oscillation in a direction perpendicular to the length to string. In one time period (cycle) , the wave moves forward by one wavelength while the particle on string travels a distance of 4 times the amplitude.

Here,      T=1/f=0.02s

Wave speed,  v=fλ=25m/s

Time taken by wave to travel a distance of 8 m.

            t  

1

​

=8/25s=0.32s.

Time taken by particle on string to travel a distance of 8 m,

          t  

2

​

=  

4timesamplitude

8×T

​

=  

4×0.01

8

​

×0.02=4s

Explanation: