Astronauts in the International Space Station must work out every day to counteract the effects of weightlessness. Researchers have investigated if riding a stationary bicycle while experiencing artificial gravity from a rotating platform gives any additional cardiovascular benefit. What frequency of rotation, in rpm, is required to give an acceleration of 1.4g to an astronaut's feet, if her feet are 1.1m from the platform's rotational axis?
The linear acceleration of a body in rotation is given by
Over here, the rotating body is the astronaut's foot. Let us take
Substituting the given values, we get
Solving for angular velocity , we get
To express this in RPM, we multiply by ( sixty seconds in a minute ), and divide by ( radians in full rotation ).
Therefore
The frequency of rotation in RPM
Astronauts in the International Space Station must work out every day to counteract the effects of...
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