# Find the angular speed in radians per sec. of the second hand on a clock.

My answer is

1 rpm

=1*2pi radians/1minute(1 rotation = 2pi radians)

=2pi radians/60seconds

=1/30 radians/seconds

It goes 2PI radians in 60 seconds. What happened to the PI?

I forgot to put sorry.

So the correct was 1/30pi radians/seconds

## To find the angular speed of the second hand on a clock in radians per second, we can use the fact that the second hand completes a full rotation (2π radians) in 60 seconds.

To convert from revolutions per minute (rpm) to radians per second, we can use the conversion factor of 1 revolution = 2π radians.

So, for 1 rpm:

1 rpm = 1 revolution/minute

= 2π radians/minute (since 1 revolution = 2π radians)

= (2π radians/minute) × (1 minute/60 seconds) (to convert minutes to seconds)

= (2π/60) radians/seconds

= π/30 radians/seconds

Therefore, the correct answer for the angular speed of the second hand on a clock is π/30 radians/second.