Question

82. Calculate the periods and the frequencies of all hands (the hour hand, the minute hand and the second hand) of a table clock? ​

Answer 1

To calculate the periods and frequencies of all hands on a table clock, we can use the following formulas:

Period (T) = 1 / Frequency (f)

Frequency (f) = 1 / Period (T)

For the hour hand: The hour hand completes one full rotation every 12 hours, so the period is 12 hours and the frequency is 1/12 rotations per hour.

For the minute hand: The minute hand completes one full rotation every 60 minutes, so the period is 60 minutes and the frequency is 1/60 rotations per minute.

For the second hand: The second hand completes one full rotation every 60 seconds, so the period is 60 seconds and the frequency is 1/60 rotations per second.

So, the periods and frequencies of all hands on a table clock are: - Hour hand: Period = 12 hours, Frequency = 1/12 rotations per hour - Minute hand: Period = 60 minutes, Frequency = 1/60 rotations per minute - Second hand: Period = 60 seconds, Frequency = 1/60 rotations per second.