What frequency of rotation, in rpm r p m , is required to give an acceleration of 1.4 g g to an astronaut's feet, if her feet are 1.3 m m from the platform's rotational axis

Complete question is;

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 1.4 g to an astronaut's feet, if her feet are 1.3 m from the platform's rotational axis

ω = 31.035 rpm

Explanation:

The formula for the rotational speed is;

ω = √(α/r)

Where α is the rotational acceleration.

We are given;

Acceleration; α = 1.4g = 1.4 × 9.81 = 13.734 m/s²

radius; r = 1.3 m

Thus;

ω = √(13.734/1.3)

ω = 3.25 rad/s

We are told to get the frequency of rotation in rpm

Thus,

ω = 3.25 × 60/2π

ω = 31.035 rpm

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explanation:

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