a string 180 cm long resonates in a standing wave that has 3 segments when driven by a 270hz vibrator. What is the speed of the waves on the string?

(answer in book 324 m/s)

frequency = 270 hz
segments of wave = 3
v= f x wave

I don't know what to do.... help....thanks

3 answers

The 3 segments of the wave means that there are 3 crests indicating that the length of the string is actually 3/2 of 1 wavelength or:

Wavelength=(Length)*(2/3)
Yes
f=270Hz,segment of wave=3,length of string=180cm,wavelength=180*(2/3)=73cm,velocity =270*72