Future space stations could create an artificial gravity by rotating. Consider a cylindrical space station that rotates with a period of 28

Question

Future space stations could create an artificial gravity by rotating. Consider a cylindrical space station that rotates with a period of 28 seconds about its axis. Astronauts walk on the inside surface of the space station, and they experience an Earth-like gravitational acceleration of 9.8 m/s2. What is the diameter of the space station?
510m
145m
660m
390m​

in progress 0
Latifah 7 months 2021-07-31T01:35:00+00:00 1 Answers 8 views 0

Answers ( )

    0
    2021-07-31T01:36:37+00:00

    Answer:

    P = 2 pi R / v    period of space station

    F / m = v^2 / R    centripetal force per unit of mass

    So F / m = 4 pi^2 R^2 / (P^2 * R) = 4 pi^2 R / P^2

    Also, F / m = 9.8 m/s^2   earth’s gravitational attraction

    So 9.8 = 4 pi^2 R / P^2    or    R = 9.8 P^2 / 4 * pi^2) = 195 m

    Or D = 2 R = 390 m the diameter required

Leave an answer

Browse

Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )