The formula of of angular velocity is:

`omega=theta/t`

where `omega` - angular velocity

`theta` - angle of rotation

`t` - time

Since it takes 45 seconds to rotate once, then `theta = 2pi` . And, converting the time to minutes, then the value of t is:

`t= 45 sec *...

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The formula of of angular velocity is:

`omega=theta/t`

where

`omega` - angular velocity

`theta` - angle of rotation

`t` - time

Since it takes 45 seconds to rotate once, then `theta = 2pi` . And, converting the time to minutes, then the value of t is:

`t= 45 sec * (1 min)/(60 sec)= 3/4`

So,

`omega = (2pi)/(3/4)=2pi*(4/3)=(8pi)/3`

**Hence, the angular velocity is `(8pi)/3` radian per minute.**