1 answer

11. +-/2 points OSColPhys1 6.3.029. My Notes Ask Your Teacher A large centrifuge, like the one...

Question:

11. +-/2 points OSColPhys1 6.3.029. My Notes Ask Your Teacher A large centrifuge, like the one shown in Figure 8.30, is used

11. +-/2 points OSColPhys1 6.3.029. My Notes Ask Your Teacher A large centrifuge, like the one shown in Figure 8.30, is used to expose aspiring astronauts to accelerations similar to those experienced in rocket launches and atmospheric reentries. Free body diagram F = net F 16, Figure 8.30 (a) At what angular velocity is the centripetal acceleration 10 gs if the rider is 16.0 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 Figure 8.30(b). At what angle e 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 should be.)

Answers

(a)

a_{centripetal}=R\omega ^{2}

\omega=\sqrt{\frac{a_{centripetal}}{R}}=\sqrt{\frac{10g}{16}}=2.475\ rad/s

(b)

\tan\Theta = \frac{W}{F_{centripetal}}=\frac{g}{10g}=0.1

\Theta = \tan^{-1}(0.1)=5.71\ degree

.

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