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Explain how gravity is provided to the occupant of the space ship?

Answer

GRAVITY FOR THE OCCUPANT OF A SPACESHIP

To have a spaceship in space we have to provide gravity to the occupants of the spaceship, which is known as artificial gravity as it doesn’t exist naturally. To produce artificial gravity the spaceship is rotated with an appropriate frequency like the earth spinning about its axis. We know that

Here ‘r’ is the distance from the center to the rim of the spaceship. Also v = rω and ac in this case is equal to the gravitational acceleration ‘g’. Hence, putting the values of ‘v’ and ac in the above equation, we have,

Now we know the circumference of a circle of radius ‘r’ is 2πr. Therefore, moving through one circle rotation, the object covers a distance of 2πr.
The time-period T is the time required to move through one rotation. Therefore, applying the equation  , we have

Here ‘f’ is the frequency of the object.

Now putting the value of ω in equation (1),

This would be the required frequency of a particular spaceship in which artificial gravity like earth would be provided to its inhabitant.

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