m/s CJ10 5 P057 Each of the space shuttle\'s main engines is fed liquid hydrogen

Question

m/s CJ10 5 P057 Each of the space shuttle's main engines is fed liquid hydrogen by a high-pressure pump. Turbine blades inside the pump rotate at 615 rev/s. A point on one of the blades traces out a circle with a radius of o.016 m as the blade rotates. (a) What is the magnitude of the centripetal acceleration that the blade must sustain at this point? m/s2 (b) Express this acceleration as a multiple of g 9.80m/s2 My Notes Ask Your Tead 7-1 points CJ10 5 P058 The large blade of a helicopter is rotating in a horizontal circle. The length of the blade is 76 m, measured from its tip to the center of point located 1.9 m from the center of the circle

Explanation / Answer

if the blade rotates at 615 rev/s to period is given by

T = 1/615 = 1.626 x 10^-3 s

a = v^2/r

v = 2pi*r / T

a =  (2pi*r / T / r

a = 4pi^2*r / T^2

a = 4*pi^2*0.016 / (1.626 x 10^-3)^2

a = 2.39 x 10^5 m/s^2 ......Ans(a)

a =  2.39 x 10^5 m/s^2 / 9.81 m/s^2

a = 24353.5 g's .......Ans(b)

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