Transverse waves on a string have wave speed 8.00 m/s, amplitude 0.0700 m, and wavelength 0.320 m. The waves travel in the ? x-direction, and at t = 0 the x = 0 end of the string has its maximum upward displacement. (a) Find the frequency, period, and wave number of these waves. (b) Write a wave function describing the wave. (c) Find the transverse displacement of a particle at x = 0.360 m at time t = 0.150 s. (d) How much time must elapse from the instant in part (c) until the particle at x = 0.360 m next has maximum upward displacement?
Solution 7E Introduction We have to calculate the different parameter for the wave from the given parameter. Then we have to write the wave equation. Then from the wave equation we have to calculate the displacement of the particle at given time. Step 1 We know that Speed of the wave c = 8.00 m/s Wavelength = 0.320 m Amplitude A = 0.0700 m Hence the frequency is f = c = 8.00 m/= 25 Hz 0.320 m 1 1 Time period is T = f= 25 Hz= 0.0400 s 2 2 Wavenumber k = = (0.320 m) 19.6 rad.m 1