In order to produce an artificial gravity in the space craft, the laboratory of space craft is rotated with suitable frequency about its own axis. The rotation is so maintained that the astronaut do not feel weightlessness. The frequency of rotation depends on the length of laboratory of space craft.

FREQUENCY OF ROTATION

Consider a space craft whose laboratory is 'L' meter long consisting of two chambers connected by a tunnel. Let us see how many revloutions per second must the space craft make in order to supply artificial gravity for the astronauts.

Let 'T' be the time for one revolution and 'f' be the frequency of rotation.

R = L / 2 --------(i)

When the laboratory revolves, a centripetal force is experienced by the astronauts.

Fc = mv2/r --------(ii)

According to Newton's second law of motion

Fc = mac --------(iii)

Comparing equations (ii) and (iii)

mac = mv2/r

or

ac = v2/r

Where ac is the centripetal acceleration

Since radius of laboratory is R , therefo…

FREQUENCY OF ROTATION

Consider a space craft whose laboratory is 'L' meter long consisting of two chambers connected by a tunnel. Let us see how many revloutions per second must the space craft make in order to supply artificial gravity for the astronauts.

Let 'T' be the time for one revolution and 'f' be the frequency of rotation.

R = L / 2 --------(i)

When the laboratory revolves, a centripetal force is experienced by the astronauts.

Fc = mv2/r --------(ii)

According to Newton's second law of motion

Fc = mac --------(iii)

Comparing equations (ii) and (iii)

mac = mv2/r

or

ac = v2/r

Where ac is the centripetal acceleration

Since radius of laboratory is R , therefo…