Transverse String Wave#

The transverse displacement of a traveling wave on a string is described by the formula $$D(x,t) = {{ params_amplitude}} cm \, {{ params_wave_equation }}(\frac{2\pi}{({{ params_wavelength}}) \text{cm}} x - \frac{2\pi}{({{ params_period}}) \text{s}} t + \frac{\pi}{2})$$

Part 1#

What is the amplitude of this wave?

Please enter in a numeric value in $${Hz}$$.

Part 2#

What is the wavelength of this wave?

Please enter in a numeric value in $${Hz}$$.

Part 3#

What is this waveâ€™s frequency?

Please enter in a numeric value in $${Hz}$$.

Part 4#

What is the speed at which energy travels down this wave?

Please enter in a numeric value in $${Hz}$$.

Part 5#

A. Draw a snapshot graph for this wave taken at $$t = 0$$ s, from $$x = 0$$ cm to $$x = 2$$ cm. Indicate and label the wavelength on your graph.

B. Draw a history graph of the motion of the string at $$x = 0.5$$ cm from $$t = 0$$ s to $$t = 4$$ s. Indicate and label the period on your graph.

C. Draw a graph of the velocity of the piece of string at $$x = 0.5$$ cm as a function of time.

Finally, upload your graphs as a png file named â€˜$$\textbf{wave}$$â€™.