A transverse wave on a cable is described by the function y(x, t)=2.3cos(4.7x+12t−π/2)y(x, t)=2.3cos(4.7x+12t-π/2), where distance is measured in meters and time in seconds. If the linear mass density of the cable is 0.42 kg/m, what is the average power transmitted by the cable?

P=408.01W

Explanation:

We have the wave function:

 (1)

The average power transmitted by the wave is given by:

    (2)

where E is the energy of the wave, mu is the linear mass density, w is the angular frequency, lambda is the wavelength and A is the amplitude.

The general form of a wave equation can be expressed as:

  (3)

by comparing with the equation (1) we obtain that:

Finally, by replacing in (2) we obtain:

hope this helps!!

most of them using statistics and defining how things are being measured

the motion of a pendulum is a classic example of mechanical energy conservation. a pendulum consists of a mass (known as a bob ) attached by a string to a pivot point. as the pendulum moves it sweeps out a circular arc, moving back and forth in a periodic fashion.