Question

Find the amplitude and angular frequency for following wave equation.

Answer 1

\(\boxed{\sf y=4sin^230\pi t}\)

Answer 2

Ummm..I think I got it

Answer 3

So,

\(\bf y=2-2Cos60\pi t\)

Amplitude =2
Angular frequency=\(\sf 60 \pi\)

Answer 4

This is a standard function which is associated with energy and/or power when you have a sinusoidal variation.
So it might be the potential or kinetic energy in shm or the power associated in ac circuits.

The simple sin^2 function has an average value of \[\frac 1 2\] over a period and this is called the mean square value of the function.
More commonly one meets the square root of such a function and then it is called the root mean square (rms) value.

If you were asked for the frequency in hertz then as \[\omega = 2 \pi f\] you would find the frequency to be 30 hertz.

Answer 5

Thank you !