If a space station is 220 m in diameter, what angular velocity would produce an “artificial gravity” of 9.80 m/s2 at the rim? Give your answer in rad/s.
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If a space station is 220 m in diameter, what
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- Circular orbits in Equation 13.10 for conic sections must have eccentricity zero. From this, and using Newton’s second law applied to centripeta acceleration, show that the value of in Equation 13.10 is given by Where is the angular momentum of the orbiting body. The value of is constant and given by this expression regardless of the type of orbit.Estimate the gravitational force between two sumo wrestlers, with masses 220 kg and 240 kg, when they are embraced and their centers are 1.2 m apart.The astronaut orbiting the Earth in Figure P3.27 is preparing to dock with a Westar VI satellite. The satellite is in a circular orbit 600 km above the Earth’s surface, where the free-fall acceleration is 8.21 m/s2. Take the radius of the Earth as 6 400 km. Determine the speed of the satellite and the time interval required to complete one orbit around the Earth, which is the period of the satellite. Figure P3.27
- A geosynchronous Earth satellite is one that has an orbital period of precisely 1 day. Such orbits are sueful for communication and weather observation because the satellite remains above the same point on Earth (provided it orbits in the equatorial plane in the same direction as Earth’s rotation). Calculate the radius of such an orbit based on the data for Earth in Appendis D.How many revolutions per minute (rpm) must a circular, rotating space station (r = 1000 m) rotate to produce an artificial gravity of 9.80 m/s^2?Assuming that the Earth has a uniform density ?=5540.0 kg/m^3, what is the value of the gravitational acceleration ?? at a distance ?=5900.0 km from the Earth's center?
- A space station has a ring with a radius of 350 meters, which rotates with a velocity which gives a person on the ring an apparent gravity of 1g (9.80m/s^2). With what radius must a second ring be built if it is supposed to simulate the gravity of Mars (0.375g)?The acceleration due to gravity near the surface of our planet is 9.82 m/s2.If we approximate Earth as a perfect sphere with a radius of 6.371 million meters, (and if we could remove air resistance and clear a pathway completely around) how fast would you need to launch an object tangentially, and very nearto the surface (as shown below) so that it would orbit with uniform circularmotion?Imagine one such station with a diameter of 119 m, where the apparent gravity is 4.00 m/s2 at the outer rim. How fast is the station rotating in revolutions per minute?
- A space exploration program proposes to make artificial gravity on a space station that looks like a circular ring with a 500 m diameter by having the space station rotate. At what angular frequency would the space station have to rotate so that someone standing on a scale in the outer ring of the space station would have an apparent weight the same as they would on Earth?What is the angular velocity of a disk with a radius of 0.5m and an outer tangential velocity of 1.5m/s? what is the centripetal acceleration?A spacecraft orbits Mars at an average altitude of 405 km. The average radius of Mars is 3390 km. If it takes the spacecraft 1.95 hours to complete one orbit around the planet, what is it's tangential velocity in kilometers per hour?
