A clock chimes 48 times in 1 minute. Calculate the event frequency and period.

Solution & explanation

1. Given: 48 events in 1 minute.

2. Convert one minute to seconds.

   $$t=60$$

3. Frequency is event count divided by total time.

   $$f=\frac{48}{60}=0.8$$

4. Period is the reciprocal of frequency.

   $$T=\frac{1}{f}$$

5. Substitute and divide.

   $$T=\frac{1}{0.8}=1.25$$

6. State the result with units: f = 0.8 Hz; T = 1.25 s.

7. This is the repetition frequency of chimes, not the audio pitch of each chime.

f = 0.8 Hz; T = 1.25 s