Question

If a wave's frequency is 25 Hz, what is its period?

Answer 1

That wave has a period of `color(blue)( 0.040s)`

Explanation:

In order to determine the period, we have to use the equation below:

• I should mention that the frequency should have units of Hz (hertz) or `s^(-1)` and the period should have units of seconds.

The frequency is known and the units are good. All we have to do is rearrange the equation to solve for T:

We want T to cancel out on the right side:
`Txxf=(1)/(cancelT)xxcancelT`

`Txxf = 1`

Divide both sides by f to get T by itself:

`Txxcancelf/cancelf= 1/f`

Thus, `T= 1/f`

Now we can solve for the period:

`T = 1/(25Hz)`

`color(blue)("0.04s")`