Find Minimum Frequency to Establish Standing Wave on Wire

[physicsya]

Homework Statement

A student wants to establish a standing wave on a wire 1.7 m long clamped at both ends.
The wave speed is 587 m/s. What is the minimum frequency she should apply to set up standing waves?

Homework Equations

Not sure...need help here? :)

The Attempt at a Solution

I tried 587 / 1.7 which is 345. 294

 

[alphysicist]

Hi physicsya,

Homework Statement

A student wants to establish a standing wave on a wire 1.7 m long clamped at both ends.
The wave speed is 587 m/s. What is the minimum frequency she should apply to set up standing waves?

Homework Equations

Not sure...need help here? :)

What simple formula has wave speed and frequency in it?

The Attempt at a Solution

I tried 587 / 1.7 which is 345. 294

This is close, in that you have found one of the frequencies of a standing wave. It's just not the minimum frequency.

For a string that is 1.7m long and clamped at both ends, what is the longest wavelength for a standing wave? (It is not 1.7m.)