Calculating Fundamental Frequency and Wavelength of a Vibrating String

[cupcakequeen]

Homework Statement

A 90 cm long steel string with a linear density of 1.1g/m is under 200N tension. It is plucked and vibrates at its fundamental frequency. What is the wavelength of the sound wave that reaches your ear in a 20 degree C room?

Homework Equations

f = 1/2L * sqrt T/mu
v = f*gamma

The Attempt at a Solution

1/(2*0.9) * sqrt (200/1.1) = 7.49Hz
v = f*gamma so v/f = gamma; 343m/s/7.49 Hz = 45.78m
but this answer is wrong! Where did I go wrong?

 

[wukunlin]

metric units?

 

[cupcakequeen]

yes, all metric

 

[wukunlin]

what is the metric unit for mass?

 

[cupcakequeen]

do I need to convert grams to kilograms?

 

[cupcakequeen]

yup. thanks!