Fellow student of mathematical bent tells you that the wave function of a traveling wave on a thin rope is y(x, t)= 2.20 mm cos[( 7.02 rad/m )x+( 743 rad/s )t]. being more practical-minded, you measure the rope to have a length of 1.33 m and a mass of 3.31 g .

a) amplitudeb) frequencyc) wavelengthd) wave speede) direction the wave is travelingf) tension in the ropeg) average power transmitted by the wave

Answer

given,

y(x,t)= 2.20 mm cos[( 7.02 rad/m )x+( 743 rad/s )t]

length of the rope = 1.33 m

mass of the rope = 3.31 g

comparing the given equation from the general wave equation

y(x,t)= A cos[k x+ω t]

A is amplitude

now on comparing

a) Amplitude  = 2.20 mm

b) frequency =

          f = 118.25 Hz

c) wavelength

d) speed

                v = 105.84 m/s

e) direction of the motion will be in negative x-direction

f) tension

      T = 27.87 N

g) Power transmitted by the wave

      P = 0.438 W