Answer:
Artificial weight = 70.27 N = 15.80 lbs
Step-by-step explanation:
The earth weight of the astronaut = 160 lbs = 711.72 N
The weight on earth = m × g(earth)
g(earth) = 9.8 m/s²
711.72 = m × 9.8
m = (711.72/9.8)
m = 72.62 kg
But at the space station, the space station rotates once every 70 s to create an artificial radial acceleration that creates a radial gravity pulling the objects on the space station towards the centre of that space station.
radial acceleration = α = (v²/r)
v = rw,
α = (rw)²/r
α = rw²
r = radius of rotation = 120 m
w = angular velocity = (2π/70) (it completes 1 rotation, 2π radians, in 70 s)
w = 0.0898 rad/s
α = 120 × (0.0898²)
α = 0.968 m/s²
Artificial weight = (mass of astronaut) × (Radial acceleration) = 72.62 × 0.968
Artificial weight = 70.27 N = 15.80 lbs
Hope this Helps!!!