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Answer
Angular velocity = 83.81 rad/s
Explanation
Angular velocity w, is calculated thus
w = 2πf
where
π = pi = 3.14
f = frequency = 800 revs per minute = 80 revs/60 seconds = 13.33 revs/s
w = 2πf
w = 2 (3.14) (13.33)
w = 83.81 rad/s
We can then go forward to find the linear velocity,
v = rw
where
v = linear velocity = ?
r = radius = 15 cm = 0.15 m
w = angular velocity = 83.81 rad/s
v = rw
v = (0.15) (83.81) = 12.57 m/s
Hope this Helps!!!