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(II) A proposed space station consists of a circular tube thatwill rotate about its center (like a tubular bicycle tire),Fig. $44 .$ The circle formed by the tube has a diameter ofabout 1.1 $\mathrm{km} .$ What must be the rotation speed (revolutionsper day if an effect equal togravity at the surface of theEarth $(1.0 g)$ is to be felt?

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Physics 101 Mechanics

Chapter 5

Using Newton's Laws: Friction, Circular Motion, Drag Forces

Motion Along a Straight Line

Motion in 2d or 3d

Newton's Laws of Motion

Applying Newton's Laws

Rotation of Rigid Bodies

Dynamics of Rotational Motion

Equilibrium and Elasticity

Hope College

University of Sheffield

University of Winnipeg

Lectures

02:34

In physics, a rigid body is an object that is not deformed by the stress of external forces. The term "rigid body" is used in the context of classical mechanics, where it refers to a body that has no degrees of freedom and is completely described by its position and the forces applied to it. A rigid body is a special case of a solid body, and is one type of spatial body. The term "rigid body" is also used in the context of continuum mechanics, where it refers to a solid body that is deformed by external forces, but does not change in volume. In continuum mechanics, a rigid body is a continuous body that has no internal degrees of freedom. The term "rigid body" is also used in the context of quantum mechanics, where it refers to a body that cannot be squeezed into a smaller volume without changing its shape.

02:21

In physics, rotational dynamics is the study of the kinematics and kinetics of rotational motion, the motion of rigid bodies, and the about axes of the body. It can be divided into the study of torque and the study of angular velocity.

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(II) A proposed space stat…

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A proposed space station c…

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A projected space station …

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A cylindrical space statio…

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A rotating cylinder about …

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In 1974 , physicist Gerard…

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A space station consists o…

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What would be the radial (…

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A rotating space station i…

Astronauts in the Internat…

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A giant toroidal space sta…

03:26

It is proposed that future…

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A space station, in the fo…

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(II) At what rate must a c…

so to experience gravity, I poke forced on the object must be on the inside off the outer wall. So if we draw that you and could the object in the inside off the horrible will see that there would be contact force are in other words, normal force acting towards the radius are towards the center of the radius. And we call this force F n as in f normal. No. From this free body diagram, we see that the only force as acting radial Ian Ward is so this is gonna be f n. And that's responsible for the centripetal acceleration and the centripetal force related to it, which we call m times A Where is the centripetal acceleration and from definition we know that is re squared over R where these the tangential speed off the object from there If we ah, we're given that Ah, we need to create, um, art like gravity. Or in other words, our acceleration should be G. So f n must be equal equal to mass times gravity. And that's the force that we should gender it toe, get artificial gravity. So from here, we can equate this with and b squared by our now we can get it off the EMS from here. If it's all for V, you see that these equal to squared off g times are so radius is given which is okay fight eso Gravity's 9.8 meters per second squared and radius is 5 50 meters, combining everything together. We have 73 point for two meters for second now in terms off revolutions per day. We need to convert this to convert our answer to revolutions per day. So let's do that. So we have 73.42 uh, meet us for a second, then one rib is basically the circumference off the U So wonder it is to buy times fight 50 meters then. Ah, we have time. So one day is 84 86,000 400 seconds. So from here, if we calculate, we see that there's going to be a good idea is 18 36 arrives per day. Thank you

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