A large centrifuge is used to expose aspiring astronauts to accelerations similar to those experienced in rocket launches and atmospheric reentries. # F₁ army arm,x = W = FC F = Fnet rad/s Free-body diagram 0 Fa arm Farm FC (a) At what angular velocity is the centripetal acceleration 12 g if the rider is 11 m from the center of rotation? Number W (b) The rider's cage hangs on a pivot at the end of the arm, allowing it to swing outward during rotation. At what angle 8 below the horizontal will the cage hang when the centripetal acceleration is 12 g? (Hint: The arm supplies centripetal force and supports the weight of the cage. Draw a free body diagram of the forces to see what the angle 8 should be.) Number

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Chapter1: Units, Trigonometry. And Vectors
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A large centrifuge is used to expose aspiring astronauts to accelerations similar to those experienced in rocket launches and atmospheric reentries.
= W
F
arm,y
Farm.x
=
F = Fnet
rad/s
W
0
Free-body
diagram
F₁
arm
Farm
(a) At what angular velocity is the centripetal acceleration 12 g if the rider is 11 m from the center of rotation?
Number
FC
(b) The rider's cage hangs on a pivot at the end of the arm, allowing it to swing outward during rotation. At what angle 8 below the horizontal will the cage
hang when the centripetal acceleration is 12 g? (Hint: The arm supplies centripetal force and supports the weight of the cage. Draw a free body diagram of
the forces to see what the angle 8 should be.)
Number
Transcribed Image Text:A large centrifuge is used to expose aspiring astronauts to accelerations similar to those experienced in rocket launches and atmospheric reentries. = W F arm,y Farm.x = F = Fnet rad/s W 0 Free-body diagram F₁ arm Farm (a) At what angular velocity is the centripetal acceleration 12 g if the rider is 11 m from the center of rotation? Number FC (b) The rider's cage hangs on a pivot at the end of the arm, allowing it to swing outward during rotation. At what angle 8 below the horizontal will the cage hang when the centripetal acceleration is 12 g? (Hint: The arm supplies centripetal force and supports the weight of the cage. Draw a free body diagram of the forces to see what the angle 8 should be.) Number
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