LUS WileyPLUS: MywileyPLUs I Hep Contact Us Log Out Halliday, Fundamentals of Ph

Question

LUS WileyPLUS: MywileyPLUs I Hep Contact Us Log Out Halliday, Fundamentals of Physics, 10e GENERAL PHYSICS (SCP 231/232/233) dy & Practice Assignment Gradebook ORION Downloadable eTextbook n Assignment ey URCES FULL SCREEN PRINTER VERSION BACK NEXT di Chapter 16, Problem 026 A string along which waves can travel is 3.95 m long and has a mass of 238 g. The tension in frequency of traveling waves of amplitude 6.03 mm for the average power to be 68.6 w? lem the string is 53.4 N. What must be the lem Number Units y pd plem blem the tolerance is +/-2% tations blem Question Attempts: 0 of 5 used SAVE FOR LATER SUBMIT ANSWER blem oblem oblem roblem t 2.pdf t 2.pdf

Explanation / Answer

Given , L = 3.95 m, m= 238 g = 0.238 kg, T= 53.4 N,

Amplitude (A) = 6.03 mm , P= 68.6 W

Mass per unit length () = m/L = 0.238/3.95 = 0.06 kg/m

Velocity of wave (v) = (T/) = (53.4/0.06) = 29.77 m/s

Using ,

= 2f and

P = (2A2v)/2

So,

P = (42f2A2v)/2

Substituting the values ,

f2 = 2P / (42A2v)

f^2 = 2*68.6/0.06*4*^2*(6.03*10^-3)^2*29.77

f^2 = 53508.349

f = 231.32 Hz

Thus, the frequency is 231.32 Hz

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