Energy and Power Transmitted in Transverse Waves

Physics Ninja looks at the Energy and power transmitted in transverse waves. The Total average energy of a transverse wave is first calculated by looking at kinetic and elastic potential energy.

[@petergoh5628]

Does this mean that if I want to find the total energy of the wave I just multiply the energy across one wavelength by the total number of wavelength that are formed across the length of the rope?

[@PhysicsNinja]

Yes

[@user-jr5ve4of1q]

Thanks ❤I really liked it

[@ryanmiller7246]

At what point in the wave does it have the most energy and at what point does it have the least?

[@externalbehavior]

KE, which depends on velocity (y direction) is highest near y=0 and is 0 at the amplitude (since velocity is 0)
PE on the other hand, or to be more accurate EPE, is maximum at the amplitude, and 0 at the y=0.
To conclude, near y=0 the particle (small portion of the rope) has KE > PE while near the amplitude the PE > KE.

[@seemachoudhary4015]

But at y=A, dy/dx=0, so the EPE would be zero there too, right?

[@jerven1128]

can you integrate over the entire length of the string instead of just one wavelength to find the total energy stored in the string?

[@PhysicsNinja]

Yes but if it extends to infinity you’ll run into problems.