Question

A harpsichord string of length 1.50 m and linear mass density 26.0 mg/m vibrates at a (fundamental) frequency of 460.0 Hz.

(a) What is the speed of the transverse string waves?
m/s

(b) What is the tension?
N

(c) What are the wavelength and frequency of the sound wave in air produced by vibration of the string? The speed of sound in air at room temperature is 340 m/s.
wavelength m
frequency Hz



Please help; I have no idea on how to do this one.

Answer 1

No idea? YOu misses lectures or something.

a) waveequation> freq*3m= speedwave
b) v= sqrt (2Tension/(mass/length)) you can solve for tension.

in air,
c) frequency*wavelenght= speed in air
you were given frequency, calculate wavelength.

http://hyperphysics.phy-astr.gsu.edu/hbase/waves/string.html

Answer 2

Thank you! I got the other parts, but I still cant get part b. Isn't it sqrt(26/1.5) and the answer multiplied by 2 to get tension, but its giving me wrong. I don't know why!