# Homework Help: Amplitude of a Wave

1. Sep 29, 2005

### hotmail590

A large ant is standing on the middle of a circus tightrope that is stretched with (T) tension . The rope has mass per unit length (u). Wanting to shake the ant off the rope, a tightrope walker moves her foot up and down near the end of the tightrope, generating a sinusoidal transverse wave of wavelength (lamda) and amplitude (A) . Assume that the magnitude of the acceleration due to gravity is (g).

What is the minimum wave amplitude such that the ant will become momentarily weightless at some point as the wave passes underneath it? Assume that the mass of the ant is too small to have any effect on the wave propagation.
Express the minimum wave amplitude in terms of T, u, lamda, and g.

How should I approach this problem? Should I try to find a forumla for Amplitude and plug in 0 for the mass/length (u)??

For the wave function of a traveling wave Asin[(k)x+(w)t] on a thin rope that what way can we determine the amplitude?

I know the amplitude is the height of the wave from rest to crest or rest to trough. But I cannot figure out anyway to show A.

For example like the wavelength (lamda) = 2pi/k

But what can Amplitude = ?

Last edited: Sep 29, 2005
2. Sep 29, 2005