Physics, 15.11.2020 17:10 jademckinziemea

Artificial gravity is a must for any space station if humans are to live there for any extended length of time. Without artificial gravity, human growth is stunted and biological functions break down. An effective way to create artificial gravity is through the use of a rotating enclosed cylinder, as shown in the figure. Humans walk on the inside of the outer edge of the cylinder, which has a diameter of =3335 m that is large enough such that its curvature is not readily noticeable to the inhabitants. (The space station in the figure is not drawn to scale.)

Once the space station is rotating at the necessary angular speed to create an artificial gravity of 1 , how many minutes would it take the space station to make one revolution?

I did $2\pi \sqrt{\frac{1667.6}{9.8} } =81.96$ then I converted 81.96 to minutes which was 1.4 but it still got marked wrong. 81.96 was wrong as well. Am I using the wrong equation for it? I'm not sure what to do.

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Answer from: nyny679

The period of the enclosed cylinder is approximately 115.866 seconds.

The rotating enclosed cylinder is rotating at constant angular speed ( $\omega$ ), in radians per second, which means that experiments a constant radial angular acceleration ( $\alpha$ ), in radians per square second. Then, we derive an expression for the period of the cylinder, this is, the time needed by the cylinder to make one revolution:

$g = \omega^{2}\cdot R$ (1)

Where:

- Gravitational acceleration, in meters per square second.

- Radius of the enclose cylinder, in meters.

$g = \frac{4\pi^{2}\cdot R}{T^{2}}$

$T = 2\pi\cdot \sqrt{\frac{R}{g} }$ (2)

Where is the period, in seconds.

If we know that $R = 3335\,m$ and $g = 9.807\,\frac{m}{s^{2}}$ , then the period of the enclosed cylinder is:

$T = 2\pi\cdot \sqrt{\frac{3335\,m}{9.807\,\frac{m}{s^{2}} } }$

$T \approx 115.866\,s\,(1.931\,min)$

The period of the enclosed cylinder is approximately 115.866 seconds.

We kindly invite to check this question on circular motion: link

Answer from: mnrtunes

Hi myself Shrushtee.

Explanation:

Artificial gravity is a must for any space station if humans are to live there for any extended length of time. Without artificial gravity, human growth is stunted and biological functions break down. An effective way to create artificial gravity is through the use of a rotating enclosed cylinder, as shown in the figure. Humans walk on the inside edge of the cylinder, which is sufficiently large (diameter of 2235 meters) that its curvature is not readably noticeable to the inhabitants. (The space station in the figure is not drawn to the scale of the human.) Once the space station is rotating at the necessary speed, how many minutes would it take the space station to make one revolution?

The distance traveled by the man in one revolution is simply the circumference of the space station, C = 2p R. From this result, you should be able to deduce the time it takes for the space station to sweep out a complete revolution.

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Answer from: Quest

their crystal patterns have been disrupted by stress

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