What is the angular speed of hour hand in clock in the ratio

Answer 1

If you are measuring angular speed(ω) in radians/s you need to know the number or radians it moves and the number of seconds it takes because

ω=θ/t

So in one hour the clock moves 1/12 of a circle in 3600s

Or the clock moves 1 full circle in 12 hours or 12(3600s)

One circle is 2π radians

Option 1:

θ=2π/12rad=π/6rad

t=3600s

ω=π/6/3600=π/21600rad/s or 1.454x10^-4 rad/s

Option 2:

θ=2πrad

t=12(3600)s=43200s

ω=2π/43200=π/21600rad/s or 1.454x10^-4 rad/s

If you aren't looking for rad/s adjust for the units you are using for example if you are looking for degrees per minute use 360° instead of 2πrad and 60min instead of 3600s