A large centrifuge is used to expose aspiring astronauts to accelerations similar to those experienced in rocket launches and atmospheric reentries.= WFarm,yFarm.x=F = Fnetrad/sW0Free-bodydiagramF₁armFarm(a) At what angular velocity is the centripetal acceleration 12 g if the rider is 11 m from the center of rotation?NumberFC(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 cagehang 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 ofthe forces to see what the angle 8 should be.)Number

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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. # 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

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

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Concept explainers

Angular speed, acceleration and displacement

Angular acceleration is defined as the rate of change in angular velocity with respect to time. It has both magnitude and direction. So, it is a vector quantity.

Angular Position

Before diving into angular position, one should understand the basics of position and its importance along with usage in day-to-day life. When one talks of position, it’s always relative with respect to some other object. For example, position of earth with respect to sun, position of school with respect to house, etc. Angular position is the rotational analogue of linear position.

Question

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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