Engineers and science fiction writers have proposed designing space stations in the shape of a rotating wheel or ring, which would allow astronauts to experience a sort of artificial gravity when walking along the inner wall of the station's outer rim. (a) imagine one such station with a diameter of 121 m, where the apparent gravity is 2.60 m/s2 at the outer rim. how fast is the station rotating in revolutions per minute?

w = 1.976 rpm

Explanation:

For simulate the gravity we will use the centripetal aceleration , so:

where w is the angular aceleration and r the radius.

We know by the question that:

r = 60.5m

= 2.6m/s2

So, Replacing the data, and solving for w, we get:

W = 0.207 rad/s

Finally we change the angular velocity from rad/s to rpm as:

W = 0.207 rad/s = 0.207*60/(2)= 1.976 rpm

0.11 m/s and 0.28 m/s should be correct

  distance on the y-axis and time on the x-axis.

explanation:

the instantaneous velocity = change in position/time taken

the slope of the graph should give instantaneous velocity.

  slope of a graph = change in value of y -axis / change in values of x -axis

  comparing both the equations

    change in value of y -axis = change in position

  change in values of x -axis = time taken

so position values should be on the y axis and time values should be on the x axis.

distance on the y-axis and time on the x-axis.