express the angular velocity of the second hand on a clock in rev/hr
To express the angular velocity of the second hand on a clock in revolutions per hour (rev/hr), we need to determine how many revolutions the second hand makes in one hour.
First, we need to establish a few facts about a clock:
1. A clock has 12 hours marked on the dial.
2. The second hand completes one full revolution (360 degrees) in 60 seconds.
To find the number of revolutions per hour, we need to calculate the number of revolutions per minute and then multiply by 60 to get the value per hour.
Number of Revolutions per Minute:
Since there are 60 seconds in one minute and the second hand completes one revolution in 60 seconds, it means the second hand completes 1/60th of a revolution in one second. Therefore, the second hand completes 1/60th of a revolution in one minute.
Number of Revolutions per Hour:
To find the number of revolutions per hour, we need to multiply the number of revolutions per minute by 60. This is because there are 60 minutes in one hour.
So, the angular velocity of the second hand on a clock can be expressed as:
1/60 * 60 = 1 revolution per hour (rev/hr)
Hence, the angular velocity of the second hand on a clock is 1 revolution per hour (1 rev/hr).
Number of revolutions per hour of the seconds hand
= number of minutes per hour
= 60
Can you take it from here?