Question

the equation of a transverse wave traveling in a string is given by y=a sin(k x??t). the tension in the string is 20.0 n, a = 2 mm, k = 30 rad/m, ? = 850 rad/s. what is the wave speed? what is the linear density of the string?

Answer 1

Equivalent forms of wave solution:

Wave parameters: *Amplitude A *Wavelength ? *Wave number k = 2?/? *Angular frequency ? = 2?f *Period T = 1/f *Frequency f = 1/T *Propagation speed v *Wave relationship v = f?

therefore wave speed= f? = ?/ 2? 2?/k = ?/k = 28.33 m/s

and we know v = = 28.33

=> =T/28.33² = 0.0249 Kg/m