Using coefficient of kinet x Google Does areate an x Q Resume-Google Docs x C Se

Question

Using coefficient of kinet x Google Does areate an x Q Resume-Google Docs x C Secure https//www.webassign net/web/Student/Assignment-ResponsesMast?dep 1592964 The National Aeronautics and Space Administration (NASA) studies the physiological effects of large accelerations on astronauts. Some of these use a machine known as a centrifuge. This machine consists of a long arm, to one end o which is attached a in which the astronaut sits. The other end of the arm is connected to an axis about which the arm and chamber can be rotated. The astronaut moves on a circular path, much like a model airplane flying in a circle on a guideline. The chamber is located 15 m from the center of the circle. At what speed must chamber move so that an astronaut is subjected to 6.4 times the acceleration due to gravity? m/s My Notes o Ask Your Teacl 16. -2 points CJ10 5-P.057 Each of the space shuttle's main engines is fed liquid hydrogen by a high-pressure pump. Turbine blades inside the pump rotate at 590 rev/s. A point on one of the blades traces out a circle with a radius of o.017 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/s

Explanation / Answer

r= radius = 15m

V= speed = ?

a = acceleration = 6.4 g

ac ( centrifugal acceleration) = V2/ r

6.4 g = V2 / 15

V2 = 6.4*9.8 *15

V = 30.67 m/s

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16) r = radius = 0.017 m

@ ( angle) = 590 rev = 590*2 pi [ since in 1 revolution @ = 2 pi]

t = time = 1 s

w = angular velocity = @ / t

w = 590*2 pi / 1

w = 3705.2 rad/s

ac = V2/r [ V( linear speed) = wr]

ac= w2 r2 / r

ac ( centripetal acceleration) = w2r   

ac= 3705.22*0.017 = 233.38*103 m/s2

b) ac/ g = 233.38*103 / 9.8

ac/ g = 23.81*103

ac=23.81*103* g

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