Answer:
The angular velocity is 8.38 radians per minute
Step-by-step explanation:
From the question,
It takes 45 seconds to complete a full revolution,
That is, 1rev/45secs
First, we will convert this to revolutions per minute (rev/min)
1rev/45secs = [tex]\frac{1 revolutions}{45 seconds} \times \frac{60seconds}{1minute}[/tex]
= 4/3 rev/min
Now, we will convert this to radians per minute (rad/min)
1 revolutions = 2π rad
4/3 rev/min = [tex]\frac{\frac{4}{3} rev}{min} \times \frac{2\pi rad}{1 rev}[/tex]
= 8.38 rad/min
Hence, the angular velocity is 8.38 radians per minute
