Question

A large centrifuge is used to expose aspiring astronauts to accelerations similar to those experienced in rocket launches and atmospheric reentries. Free body diagram (a) At what angular velocity, in rad/s, is the centripetal acceleration 10 gs if the rider is 10.0 m from the center of rotation? rad/s (b) The rider's cage hangs on a pivot at the end of the arm, allowing it to swing outward during rotation as shown in the figure. At what angle 0 below the horizontal will the cage hang when the centripetal acceleration is 10 gs? (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 O should be.) o below the horizontal

Answer 1

Answer:

13 siuen centripetal acceleration logs 10 (9.8 m/s2) radius of the sider - Tom Angulas velocity is deduced from centripeta accele antion a= 8.20 a (10) (9.8 m/2) To . Angular velocity ho = 3.13 rad/sec (b) 3 From Fc ing Foee body diagram The centoipeted fooce is along the Centre is Fe = 10gm. weight acts vertically derowward wang vertical component: Farm sino-mg ? horizontal components Farm Coso = 10 10 mg dividing equation / Fam sino_mg long Farm coso tano= 1 10 O= tant (to) = 5.710 0:5-71° made Augle the by cage below the horizontal

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