It is proposed that future space stations create an artificial gravity by rotating. suppose a space station is constructed as a 1600-m-diameter cylinder that rotates about its axis. the inside surface is the deck of the space station. what rotation period will provide "normal"gravity?

Answer

given,

diameter of the cylinder = 1600 m

radius = 800 m                                  

acceleration due to gravity  = 9.8 m/s²

a = r ω²                                                  

we know time period                      

T = 57.12 s                              

can be answered using momentum.

momentum = p

p1= mass1 * velocity1

p1 = p2

therefore

p1 = 6kg * 4m/s

p1 = 24kgm/s

p2=m2 * v2

24 kgm/s = 7kg * v2

v2 = 24 kgm/s / 7kg

v2= 3.42 m/s

it has to be b, about 97 percent.