Travelling Wave Displacement

Travelling Wave Displacement#

\(D(x,t) = {{ params.A }}\cos({{ params.k }}x+ {{ params.omega }}t)\) describes the displacement \(D\) in \(\rm{cm}\) of a travelling sinusoidal wave as a function of displacement \(x\) in \(\rm{cm}\) and time \(t\) in \(\rm{s}\).

Part 1#

What is the amplitude \(A\) of the travelling wave?

Answer Section#

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

Part 2#

In what direction is the travelling wave moving?

Answer Section#

  • {‘value’: ‘The positive x direction.’, ‘feedback’: ‘Try setting the phase equal to a constant and differentiating the phase implicitly with respect to time. What is the sign of \(v = v_{x} = \\frac{dx}{dt}\) ?’}

  • {‘value’: ‘The negative x direction.’, ‘feedback’: ‘Yes, you can see this by setting the phase equal to a constant and differentiating the phase implicitly with respect to time to find that \(v = v_{x} = \\frac{dx}{dt}\) is negative.’}

Part 3#

At what speed \(v\) is the travelling wave moving?

Answer Section#

Please enter in a numeric value in \(\rm{m/s}\).

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.