Interior Design Rates Per Hour
A possible design? physics? 10 pts?
A possible design for a space colony: it consists of a cylinder of diameter 7 km and length 30 km floating in space. Its interior is provided with an earthlike environment, and to stimulate gravity, the cylinder spins on its axis. What should the rotation rate of the cylinder spins be on its axis? What should the rotation rate of the cylinder be, in revolutions per hour, so that a person standing on the landmass will press down on the ground with a force equal to his or her weight on earth?
the answer is 30.3 r/h
but i do not understand how u solve it. What formula do i use? what equation(s)/formula do i use? Where did time come from (hours) if i’m only given diameter and length. And for diameter i have to change it to radius too right?
i feel so confused and lost. 10 pts for best answer
Use the equation for centripetal force to figure out the rate.
ma = mv^2/r
the masses will cancel out and you know what the acceleration is because you want the gravity to be the same on earth. You are given diameter, solve for velocity. Convert units properly and wa la. there it is.
Interior Design Rates Per Hour
A possible design? physics? 10 pts?
A possible design for a space colony: it consists of a cylinder of diameter 7 km and length 30 km floating in space. Its interior is provided with an earthlike environment, and to stimulate gravity, the cylinder spins on its axis. What should the rotation rate of the cylinder spins be on its axis? What should the rotation rate of the cylinder be, in revolutions per hour, so that a person standing on the landmass will press down on the ground with a force equal to his or her weight on earth?
the answer is 30.3 r/h
but i do not understand how u solve it. What formula do i use? what equation(s)/formula do i use? Where did time come from (hours) if i’m only given diameter and length. And for diameter i have to change it to radius too right?
i feel so confused and lost. 10 pts for best answer
Use the equation for centripetal force to figure out the rate.
ma = mv^2/r
the masses will cancel out and you know what the acceleration is because you want the gravity to be the same on earth. You are given diameter, solve for velocity. Convert units properly and wa la. there it is.
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