Question

an airplane propeller turns at a constant rate of 3000 revolutions per minute find its angular velocity in radians per minute

Answer 1

1 revolution = 2 pi radians
2 revolutions = 2 x (2 pi) radians
3 revolutions = 3 x (2 pi) radians
4 revolutions = 4 x (2 pi) radians
.
.
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9 revolutions = 9 x (2 pi) radians
.
.
3000 revolutions = 3000 x (2 pi) radians = 6,000 pi radians

= 18,849.6 radians (rounded)