Question

fill in the blank question if the frequency of a wave is 25 cycles per minute, the wave period is minutes/cycle, or 2.4 seconds/cycle.

Explanation:

Step1: Recall the relationship between period and frequency

The formula is $T=\frac{1}{f}$, where $T$ is the period and $f$ is the frequency.

Step2: Substitute the given frequency

Given $f = 25$ cycles per minute. So $T=\frac{1}{25}$ minutes/cycle.

Step3: Convert to seconds

Since 1 minute = 60 seconds, $\frac{1}{25}$ minutes/cycle $\times60$ seconds/minute = 2.4 seconds/cycle.

Answer:

$\frac{1}{25}$