Download the App!

Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite.

Get the answer to your homework problem.

Try Numerade free for 7 days

Like

Report

Artificial gravity. One way to create artificial gravity in a space station is to spin it. If a cylindrical space station 275 $\mathrm{m}$ in diameter is to spin about its central axis, at how many revolutions per minute (rpm) must it turn so that the outermost points have an acceleration equal to $g$ ?

2.55 rpm

Physics 101 Mechanics

Chapter 6

Circular Motion and Gravitatio

Physics Basics

Motion Along a Straight Line

Motion in 2d or 3d

Newton's Laws of Motion

Applying Newton's Laws

University of Michigan - Ann Arbor

University of Washington

Simon Fraser University

University of Sheffield

Lectures

04:34

In physics, kinematics is …

04:16

In mathematics, a proof is…

01:16

A rotating space station i…

01:13

02:07

Rotating Space Stations. O…

03:38

Artificial gravity in spac…

The formula$$N=\frac{1…

01:11

03:26

It is proposed that future…

00:44

A space station, in the fo…

03:16

One problem for humans liv…

01:41

01:40

A space station is in the …

00:28

Future space stations will…

04:37

A space station is shaped …

03:21

(II) A proposed space stat…

02:08

As their booster rockets s…

01:38

A space station consists o…

09:34

02:54

An astronaut is rotated in…

17:40

You're an astronaut i…

02:42

(II) At what rate must a c…

a problem for you. Tree will be talking about artificial gravity. Um, just like in scifi movies in others often artificial gravity, and nobody really knows where it comes from. Um, but here is one way it could work. And this is all from physics. You case? No. If you make a cylindrical sunder and you make it spin very fast, then just from the rotation this will create an artificial gravity from the fact that person that the surface of this thunder will be accelerated towards the center. So in the problem, they're reduce of the cylinder is, um, given by the diameter divided back to you. Um, because they give diameter here off 275 meters radius should be 100 um, 37.5 meters. So the question that we won't answer is how many revolutions per minute Justice Thunder has to do in order to have an exploration which is roughly equal to G. So first thing first, the exploration for centripetal motion is he squared over r, um, and we know that V is two pi r for tea, so we can rewrite this equation as to buy over tea squared times are No. We want to isolate this tea because he is the period in terms of revolutions per second and the entry wound is seconds. Are you rephrase that Tease the number of seconds per revolution and that he wanted the number of revolution per minute or per second. So, um, I will isolate team this equation so we can move our here and played a square root and then I slipped t and that gives us t over. Um, A T equals rather, um, to pi times the square root off are divided by a And here in this problem, we want an exploration equal to G. So we will have equal G. Just take that so we can now calculate t to buy hopes that two plays actually outside square root to pi times square root of, um vadis 1 37.5 meters over G just 9.8 meters per second squared. And this gives me a period of treated 3.2 seconds. So their student 3.3 seconds for each revolution. Now the instruments be given an rpm our revolution for a minute And what we have is teeth because treat treat treat seconds for revolution. So in the next tub pressure, you can go from one together. So we have to really treat point Treat Siggins, turn revolution. That's invert debt so that we have. This is equivalent to one revolution for every true point. Treat second, um, as a rate and then two convert from seconds two minutes. Multiply by one 60 seconds over one minute. This factor here is equal to one right, because 60 seconds is equal to a minute, so multiplying by one doesn't change the equation. Such depth, this seconds unit can sub and then we'll number of revolutions per minute. And that number that this gives us is 2.55 This would be revolutions per minute or R P M.

View More Answers From This Book

Find Another Textbook

In physics, kinematics is the description of the motion of objects and syste…

In mathematics, a proof is a sequence of statements given to explain how a c…

04:44

$\bullet$ $\bullet$ Pebbles of weight $w$ are launched from the edge of a ve…

03:24

$\bullet$ A steel ball with a mass of 40.0 $\mathrm{g}$ is dropped from a he…

06:01

$\bullet$$\bullet$ A winch is used to drag a 375 $\mathrm{N}$ crate up a ram…

03:22

$\bullet$ How many water molecules are there in a 1.00 $\mathrm{L}$ bottle o…

09:32

$\cdot$ The champion jumper of the insect world. The froghopper, Philaenus s…

08:39

$\bullet$ A canoe has a velocity of 0.40 $\mathrm{m} / \mathrm{s}$ southeast…

Artificial gravity in space stations. One problem for humans living in outer…

05:10

When switch $S$ in Figure 19.49 is open, the voltmeter $V$ across the batter…

$\bullet$ Volcanoes on Io. Io, a satellite of Jupiter, is the mostvolcan…

04:35

Three resistors having resistances of $1.60 \Omega, 2.40 \Omega,$ and $4.80 …