Problem 2 (20 points) In this problem, we return to the circular space station f
ID: 1434835 • Letter: P
Question
Problem 2 (20 points) In this problem, we return to the circular space station from problem 1 on the last homework set The station is a ring 80 meters in diam eter, rotating (as you found) at 0.5 rad/s in order to give an apparent gravitational acceleration of g = 10 m/s2 due to the centrifugal force. Part A You get up in the morning and decide to go for a jog around the outer ring of the station. Which way should you jog to get a more strenuous workout: with, or against the station's rotation? (Or does it not make any difference?) Part B Later in the day, you go to meet a new crewmember at the docking ring of the space station, which is a small inner ring of diam eter 20 meters, rotating at the same angular speed about the same center. How much does your apparent weight change by while you are on the inner ring? When you ride the elevator from the inner ring back down to the outer ring, you feel a Coriolis force as the elevator is moving; which way does it point? (The doors of the elevator open in the same direction that 12 points; be specific about the force direction!) Part C The captain asks you to test out the station's emergency rotation brake, which will decelerate the rotation at a constant rate . She warns you not to decelerate too quickly, since there is some fragile cargo in a room on the outer ring that might be damaged if it moves at all. You know that the coefficient of static friction for the cargo crate is A = 0.4, and you need to decelerate to a final rotation speed of 0.2 rad/s to complete the test. What is the largest value of you can safely enter into the computer?Explanation / Answer
Part A
For strenuous workout person should jog aginst the station rotation as the linear acceleration forces objects
iinside station in opposite directions of direction of acceleration. below expression will make more clear
A=w square r whre w = angular velocity and r radius of station .
Part b
Corilios force acts on objects that move relative to rotating frame .this apparent force acts at right angles to motion and rotation axis and tends to curve motion in opp sense to habitats . With this corilios effect it felt that elevator is
Riding in opp direction .
Apparent weight in space is weight of object due to several forces acting on it so
Wa=w square *r/g
Where Wa is apparent weight, r is radius and g is gravity.
Part d
No the crate is not safe as in part c it's said that if cargo moves at all it will be damged so the captain yell after you all.