The space station is rotating to create artificial gravity. The speed of the inner ring is one half that of the outer ring. As an astronaut walks from the inner to the outer ring, what happens to her apparent weight? choice on of them?
Her apparent weight becomes four times as great. |
Her apparent weight does not change. |
Her apparent weight becomes one-fourth as great. |
Her apparent weight becomes half as great. |
Her apparent weight becomes twice as great.
The magnitude of the centripetal force acting on the astronaut is
equal to her apparent weight. The centripetal force is Fc = mv2/r,
which depends on the square (v2) of the astronaut's speed and
inversely (1/r) on the radius of the ring. r = vT/(2π), the radius
is directly proportional to the speed. Thus, the centripetal force
is directly proportional to the speed v of the astronaut. As the
astronaut walks from the inner ring to the outer ring, her speed
doubles and so does her apparent weight.
The space station is rotating to create artificial gravity. The speed of the inner ring is...
You are in a space station far from earth that generates an artificial gravity by rotating. On this space station your apparent weight is 460 N. If the engines that rotate the space station malfunction, causing the speed of rotation to double, what will be your apparent weight?
A rotating space station is said to create “artificial gravity”—a loosely-defined term used for an acceleration that would be crudely similar to gravity. The outer wall of the rotating space station would become a floor for the astronauts, and centripetal acceleration supplied by the floor would allow astronauts to exercise and maintain muscle and bone strength more naturally than in non-rotating space environments. Randomized Variables d = 215 m If the space station is 215 m in diameter, what angular...
A cylindrically shaped space station is rotating about the axis of the cylinder to create artificial gravity. The radius of the cylinder is 87.0 m. The moment of inertia of the station without people is 3.18 times 10^9 kg middot m^2. Suppose that 485 people, with an average mass of 63.0 kg each, live on this station. As they move radially from the outer surface of the cylinder toward the axis, the angular speed of the station changes. What is...
(20 points) A space station is rotating to simulate gravity as the figure below indicates. An astronaut standing on the rim (ro = 2,150 m) of the outer ring experiences a simulated acceleration due to gravity on earth (9.80 m/s2). a) Calculate the period of rotation. b) What should be the radius ry of the inner ring so that it simulates the acceleration due to gravity (3.72 m/s2) on the surface of Mars? I
Artificial gravity is a must for any space station if humans are to live there for any extended length of time. Without artificial gravity, human growth is stunted and biological functions break down. An effective way to create artificial gravity is through the use of a rotating enclosed cylinder, as shown in the figure. Humans walk on the inside edge of the cylinder, which is sufficiently large (radius R) that its curvature is not readily noticeable to the inhabitants. The...
4. (20 points) A space station is rotating to simulate gravity as the figure below indicates. An astronaut standing on the rim (ro = 2,150 m) of the outer ring experiences a simulated acceleration due to gravity on earth (9.80 m/s2). a) Calculate the period of rotation. b) What should be the radius ry of the inner ring so that it simulates the acceleration due to gravity (3.72 m/s2) on the surface of Mars?
A cylindrically shaped space station is rotating about the axis
of the cylinder to create artificial gravity. The radius of the
cylinder is 157 m. The moment of inertia of the station without
people is 5.92 x 109 kg·m2. Suppose 320
people, with an average mass of 54.0 kg each, live on this station.
As they move radially from the outer surface of the cylinder toward
the axis, the angular speed of the station changes. What is the
maximum relative...
A cylindrically shaped space station is rotating about the axis of the cylinder to create artificial gravity. The radius of the cylinder is 185 m. The moment of inertia of the station without people is 2.20 x 109 kg·m2. Suppose 144 people, with an average mass of 78.0 kg each, live on this station. As they move radially from the outer surface of the cylinder toward the axis, the angular speed of the station changes. What is the maximum relative...
A cylindrically shaped space station is rotating about the axis of the cylinder to create artificial gravity. The radius of the cylinder is 155 m. The moment of inertia of the station without people is 2.44 × 10^9 kg · m2. Suppose that 203 people, with an average mass of 71.0 kg each, live on this station. As they move radially from the outer surface of the cylinder toward the axis, the angular speed of the station changes. What is...
Artificial gravity is a must for any space station if humans are to live there for any extended length of time. Without artificial gravity, human growth is stunted and biological functions break down. An effective way to create artificial gravity is through the use of a rotating enclosed cylinder, as shown in the figure. Humans walk on the inside edge of the cylinder, which is sufficiently large (diameter of 2235 meters) that its curvature is not readably noticeable to the...