Question

In: Physics

Transverse waves on a string have wave speed 8.00 m/s, amplitude 0.0700 m, and wavelength 0.320...

Transverse waves on a string have wave speed 8.00 m/s, amplitude 0.0700 m, and wavelength 0.320 m. These waves travel in the x direction, and at t = 0 the x = 0 end of the string is at y = 0 and moving downward.

1)Find the frequency of these waves.

2)Find the period of these waves.

3)Write the equation for y(x,t) describing these waves.

4)Find the transverse displacement of a point on the string at x2 = 0.200 m at time t2 = 0.155 s .

Expert Solution

Wave speed v = 8.00 m/s

Amplitude A = 0.0700 m

Wavelength = 0.320 m

1) Frequency = v/ = 8/0.32 = 25 Hz.

2) Time period T = 1/ = 1/25 = 0.04 s.

3) Equation of the wave

The -ve sign in the amplitude is due to the fact that these waves travel in the x direction, and at t = 0 the x = 0 end of the string is at y = 0 and moving downward.

4) From the equation of y(x,t) at x = 0.2 m and t = 0.155 s.

genius_generous answered 2 years ago

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