What is the rotational speed of the hour hand on a clock?
-----rev/s
1rev/12h * 1h/3600s. = 2.315*10^-5 rev/s.
To find the rotational speed of the hour hand on a clock, we need to determine the number of revolutions the hour hand makes per second.
1. First, let's consider the setup of a clock. A standard analog clock usually has 12 hours marked on its face, with the hour hand making a complete revolution every 12 hours.
2. Since one hour consists of 60 minutes and each minute represents 1/60th of an hour, the hour hand takes 60 minutes or 1/2 hour to complete a single revolution.
3. Therefore, the rotational speed of the hour hand can be calculated as the reciprocal of the time taken for one revolution or, in this case, 2 hours per revolution.
4. We need to convert the hours to seconds to match the unit of revolution per second (rev/s). As there are 60 seconds in a minute and 60 minutes in an hour, we multiply 2 hours by 60 minutes per hour and 60 seconds per minute.
5. The calculation is as follows: 2 hours * 60 minutes/hour * 60 seconds/minute = 7,200 seconds.
6. Finally, to determine the rotational speed, we divide the number of revolutions (1) by the time taken (7,200 seconds):
Revolutions per second = 1 revolution / 7,200 seconds
Therefore, the rotational speed of the hour hand on a clock is approximately 0.0001389 rev/s, or rounded to four decimal places, 0.0001 rev/s.