(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

we have a spaceship with a spinning wheel artificial gravity thingy on-board with radius 25m, period ~ 12s, a=6.87

it is spinning anticlockwise if we take a perspective looking down on it (in the bottomleft is point A,bottom right point B,and at the top point C)

an astronaut is running (like a hamster in a wheel) on the inside of this thing. find the astronauts (mass = 75kg) apparent weight if he runs in the direction ABC AND ACB.

2. Relevant equations

centrifugal force F = -mw^{2}r

apparent force in rotating frame F=F(external) - F(centrifugal)

V=r*w

a = v*w

w=2pi/T

3. The attempt at a solution

external force = 75kg*6.87(angular acceleration of wheel) = 515.25N

In direction ABC

w = (angular velocity of wheel + extra angular velocity of antronaut running)

= (0.52+0.2) = 0.72

so F(Centrif) = 75*(0.72)^{2}*25 = 972

therfore astronauts weight = 515.25 - 972

this cant be right can it?

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Centrifugal astronaut

**Physics Forums | Science Articles, Homework Help, Discussion**