Answer:
t = 22.44 s
Explanation:
The acceleration of the station is centripetal which has the formula
a = v² / r
linear and angular velocity are related
v = w² r
as they indicate that the acceleration is equal to the acceleration of gravity
g = w² r
w = [tex]\sqrt{ \frac{g}{r} }[/tex]
let's calculate
w = [tex]\sqrt{ \frac{9.8}{ 125} }[/tex]
w = 0.28 rad / s
to calculate the time use us
w = θ / t
in a complete revolution θ = 2pi
t = θ / w
let's calculate
t = 2π / 0, 28
t = 22.44 s