Given that the space station is free of gravitational force, it is required that it spins an certain speed to acquire centripetal acceleration.
In this case, you want that the centripetal acceleration, Ac, equals g (gravitational acceleration on the earth), becasue this will cause a centripetal force equal to the weight on earth.
The formula for centripetal acceleration is Ac = [angular velocity]^2*R
where R = [1/2]50.0m = 25.0 m
Ac = 9.81 m/s^2
=> [angular velocity]^2 = Ac/R = 9.81m/s^2v/ 25.0m = 0.3924 (rad/s)^2
[angular velocity] = √(0.3924) rad/s = 0.63 rad/s
Answer: 0.63 rad/s
On or near the surface of the Earth, 1 newton is the weight of about 102 grams of mass.
Note that the gravitational force between the object and the Earth is always the
same. It doesn't matter whether the object is falling, flying, floating, fluttering,
rising, sinking, rolling, sliding, or just laying there. It doesn't change.
The woman is correct because it is the pace he is moving not walking.
Explanation:
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