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!!

answer: the exterior temperature of commercial jet planes as they leave the stratosphere and return to the ground increases steadily.

explanation:

the lower most layer of atmosphere is troposphere which extends from 0 to 12 km above the surface of the earth. the temperature initially decreases as distance is increased from the earth's surface. commercial jets fly in lower part of the stratosphere. the stratosphere extends upto 50 km. the temperature in stratosphere starts rising again due to presence of ozone which traps the uv rays.

thus, when the planes leave the stratosphere and return to the ground, the exterior temperature increases steadily.

the simple machine has three main features. they are:

fulcrum is the center point or pivot point of the machine. effort is input force/ applied force. load is external force/ output.

the keisha 's machine labels are

x : load

y: fulcrum

z: lever