- #1
dani123
- 136
- 0
Homework Statement
One design for orbiting space stations has a structure that is very much like a large bicycle wheel. The astronauts live on the inside of this wheel where the spinning provides an acceleration similar to Earth's gravity. Suppose the space station has a diameter of 125m .
a) What period of rotation would be required for the astronauts to experience an acceleration similar to the acceleration of gravity on Earth?
b) How many rotations would this space station have to make in one day?
Homework Equations
ac=v2/r
v=2∏r/T
The Attempt at a Solution
A) we know that d=125m so r=62.5m and a=9.8m/s2 T=?
So I started by finding V with ac=v2/r equation and found that v=24.7487m/s
I then plugged that number into T=2∏R/v=15.87s per revolution.
B) For this part of the question I first had to break down how many seconds were in a day and found 1 day=86400seconds
Then I did, Δt/T=86400s/15.87s=5444 rotations in a day
So I would like for someone to look over my work and verify that I did it correctly and that my answers are good, and also if you could check that my significant figures are being respected! This would be very appreciated, thank you so much for your help and time! :)