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
Answer:
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
