The propeller of a World War II fighter plane is 2.61 m in diameter. (a) What is
ID: 1772531 • Letter: T
Question
The propeller of a World War II fighter plane is 2.61 m in diameter.
(a)
What is its angular velocity in radians per second if it spins at 1100 rev/min?
rad/s
(b)
What is the linear speed (in m/s) of its tip at this angular velocity if the plane is stationary on the tarmac?
m/s
(c)
What is the centripetal acceleration of the propeller tip under these conditions? Calculate it in meters per second squared and convert to multiples of g.
centripetal acceleration in m/s2 m/s2centripetal acceleration in g g
Explanation / Answer
(A) w = 1100 rev/min
w = 1100 x 2pi rad / 60 s
w = 115.2 rad/s
(B) v = w r = (115.2)(2.61/2)
= 150.3 m/s
(C) a = w^2 r = 17318.7 m/s^2
a (in g) = 1767 g
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