Question

A traveling sinusoidal wave is moving on a long thin rope (total length =186 m, mass = 3.50 kg) in the +x direction. The rope is tied at one end to give a tension T. The wave is described by wavelength λ= 2.00 m, amplitude A=1.20 m and speed v=30.0 m/s.  The phase angle is -π/4 radian.

a. the expression that describes the y-displacement of the media particles as a function of time (give numbers for all the quantities).

b. the y-displacement for a rope particle at x=42.0 m from the left end at a time of 1.50 s after the wave started,

c. the transverse velocity for a rope particle at x=68.0 m at time of 3.5 0s

d. the time when the transverse acceleration for a rope particle at x=42.0 m is –6.079 x10³m/s²

e. the Tension in the rope

f. the Power required to maintain this wave (or the rate of energy transfer down the rope).

Answer 1