What is the rotational speed of the minute hand on a clock?
Convert from rad/s to rev/s
S=1rev/60min * 1min/60s * 6.28rad/rev =
1.744*10^-3 rad/s.
To determine the rotational speed of the minute hand on a clock, we need to know the time it takes for the minute hand to complete one full revolution.
Let's assume that it takes the minute hand 60 minutes to complete one full revolution. Since there are 60 minutes in an hour, it means that the minute hand completes one full revolution per hour.
To convert this rotational speed from rad/s to rev/s, we need to use the conversion factor that relates radians to revolutions.
1 revolution (rev) = 2π radians (rad)
To convert the rotational speed from rad/s to rev/s, we multiply the number of radians per second by the conversion factor:
Rotational speed (rev/s) = Rotational speed (rad/s) * (1 rev / 2π rad)
Since the minute hand completes one full revolution per hour, we can convert the rotational speed to rev/s:
Rotational speed (rev/s) = 1 rev / hour * (1 hour / 3600 seconds)
Therefore, the rotational speed of the minute hand on a clock is:
Rotational speed (rev/s) = 1 / 3600 rev/s
So, the rotational speed of the minute hand on a clock is 1/3600 rev/s.