5 of 7 Sapling Learning live there for any extended length of time. Without arti

Question

5 of 7 Sapling Learning live there for any extended length of time. Without artificial grawi, huan growth is stunted and biological functions break An eff a rotating walk on the inside edge of the cylinder, which is sufficienthy large (dia readably noticeable to the inhabitants. (The space station in the figure is not drawn to the scale of the human. way to create artificial gravity is through the use of enclosed inder, as shown in the figure. Humans 2435 m Once the space station is rotating at the necessary speed to create an artificial gravity of 1g, how many minutes would it take the space station to make one revolution minutes Check Answer Next xt Hinit

Explanation / Answer

Given,

d = 2435 m => r = 2435/2 = 1217.5 m ; a = 1g

Wwight is balanced by the centripital force

W = Fc

mg = m v^2/R = m w^2r

w^2 r = g

w = sqrt (g/r) = sqrt (9.81/1217.5) = 0.09 rad/s

for one revolution

T = 2 pi/w = 2 x 3.14/0.09 = 69.78 s

T = 69.78 s = 1.163 m

Hence, T = 1.163 m

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