Question

ssignment 10 ercise 15.16 6 of Part A With what tension must a rope with length 2.00 tn and mass 0.125 kg be stretched for transverse waves of frequency 390 Ha . have a wavelength of 0.770 m ? Submit Request Answer Provide Feedback Next > MacBo

Answer 1

Given,

l = 2 m ; m = 0.125 kg ; f = 39 Hz ; lambda = 0.770 m

we know that, speed of wave is;

v = f lambda

v = 39 x 0.77 = 30.03 m/s

also, for a standing wave

v = sqrt(T/u)

v^2 = T/u

T = v^2 u

u = m/L = 0.125/2 = 0.0625 kg/m

T = 30.03^2 x 0.0625 = 56.36 N

Hence, T = 56.36 N