Answer:
The angular speed of the blade is of 166.67 rad/min
Step-by-step explanation:
The velocity, is given by the following equation:
[tex]v = rw[/tex]
In which r is the radius and w is the angular speed.
We use this relation to solve this question;
We have that:
[tex]v = 1000, r = 6[/tex]. We want to find w. So
[tex]v = rw[/tex]
[tex]1000 = 6w[/tex]
[tex]w = \frac{1000}{6}[/tex]
[tex]w = 166.67[/tex]
The angular speed of the blade is of 166.67 rad/min