Transverse String Wave

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?

Answer Section#

Please enter in a numeric value in \( {Hz}\).

Part 2#

What is the wavelength of this wave?

Answer Section#

Please enter in a numeric value in \( {Hz}\).

Part 3#

What is this wave’s frequency?

Answer Section#

Please enter in a numeric value in \( {Hz}\).

Part 4#

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

Answer Section#

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 ‘\(\textbf{wave}\)’.

Answer Section#

A file upload box will appear here.

Attribution#

Problem is licensed under the CC-BY-NC-SA 4.0 license.
The Creative Commons 4.0 license requiring attribution-BY, non-commercial-NC, and share-alike-SA license.