Crystal Goblet-Opera Singer Frequency Problem

[pc21]

Homework Statement

Standing-wave vibrations are set up in a crystal goblet with four nodes and four antinodes equally spaced around the 15.0 cm circumference of its rim. If transverse waves move around the glass at 920 m/s, an opera singer would have to produce a high harmonic with what frequency to shatter the glass with a resonant vibration?

Homework Equations

V=F*wavelength

The Attempt at a Solution

if someone could explain how to do this or do it out it would be good because i have one more chance to get it right otherwise its wrong

 

[alphysicist]

Hi pc21,

How are the nodes and antinodes related to the wavelength of a wave?