A spacecraft on a future mars mission uses a rotating cylinder with an interior radius of 240 m to create artificial gravity. A 89 kg astronaut inside the cylinder feels 49% of the weight they would feel on Earth's surface. - How many rotations does this cylinder complete in one minute? - How many rotations does this cylinder complete in two minutes?
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A spacecraft on a future mars mission uses a rotating cylinder with an interior radius of 240 m to create artificial gravity. A 89 kg astronaut inside the cylinder feels 49% of the weight they would feel on Earth's surface.
- How many rotations does this cylinder complete in one minute?
- How many rotations does this cylinder complete in two minutes?
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- International Space Station. In its orbit each day, the International Space Station makes 15.65 revolutions around the earth. Assuming a circular orbit, how high is this satellite above the surface of the earth?A space station with circular or cylindrical parts may have artificial gravity by spinning. The wall pushing against someone will feel like gravity. Calculate the apparent g (in m/s2) the person experiences if the radius is r and the rotation speed is v: r = 11 m v = 15 m/sIt has been suggested that rotating cylinders about 18.5 mi long and 4.60 mi in diameter be placed in space and used as colonies. What angular speed must such a cylinder have so that the centripetal acceleration at its surface equals the free-fall acceleration on Earth? rad/s
- In recent years, scientists have discovered thousands of exoplanets (planets orbiting stars other than the Sun). Some are in orbits similar to that of Earth, which revolves around the Sun (Msun = 1.99 × 1030 kg) at a distance of 1.50 × 1011 m — a distance defined as 1 astronomical unit (AU). Others have extreme orbits that are very different from anything in our solar system. For example, the exoplanet Kepler-42c circles its star at a distance of 0.0058 AU. Its star is small, having only 0.13 times the mass of the Sun. How long is Kepler-42c’s period of revolution? How does this value compare to Earth’s period of 365 days?Q 1) A satellite weighing ( 700 Ib ) on the surface of the Earth. Calculate the Earth's gravitational force for this satellite when it is positioned at a distance of 36000 km ) from the surface of the Earth, where its rotation speed around the Earth is equal to the speed of the Earth's rotation around itself. 36000 km Earth mass ( Me ) = 5.97 × 1024 kg. Radius of the Earth ( Re ) = 6371 km. -You have a horizontal grindstone (a disk) that is 95 kg, has a 0.36 m radius, is turning at 86 rpm (in the positive direction), and you press a steel axe against the edge with a force of 24 N in the radial direction. 1)Assuming that the kinetic coefficient of friction between steel and stone is 0.20, calculate the angular acceleration of the grindstone in rad/s2. 2)What is the number of turns, N, that the stone will make before coming to rest?
- It has been suggested that rotating cylinders about 11.0 mi long and 3.63 mi in diameter be placed in space and used as colonies. What angular speed must such a cylinder have so that the centripetal acceleration at its surface equals the free-fall acceleration on Earth? rad/sThe 20-g centrifuge at NASA's Ames Research Center in Mountain View, California, is a cylindrical tube 58 ft long with a radius of 29 ft (see figure). If a rider sits in a chair at the end of one arm facing the center, how many revolutions per minute would be required to create a horizontal normal force equal in magnitude to 20.0 times the rider's weight? rev/min 29 ft XKKE Need Help? Read ItIt has been suggested that rotating cylinders about 10.5 mi long and 6.32 mi in diameter be placed in space and used as colonies. What angular speed must such a cylinder have so that the centripetal acceleration at its surface equals the free-fall acceleration on Earth? rad/s =
- At what rate must a cylindrical spaceship rotate if occupants are to experience simulated gravity of 0.58 gg? Assume the spaceship's diameter is 25 mm , and give your answer as the time needed for one revolutionArtificial gravity is a must for any space station if humans are to live there for extended length of time. An effective way to create artificial gravity is using a rotating enclosed cylinder. Humans walk on the inside of the outer edge of the cylinder, which has a diameter of D=3450m that is large enough such that its curvature is not readily noticeable to the inhabitants. Once the space station is rotating at the necessary angular speed w to create an artificial gravity of 1g, how many minutes would it take the space station to make one revolution?It has been suggested that rotating cylinders about 20.0 mi long and 5.49 mi in diameter be placed in space and used as colonies. What angular speed must such a cylinder have so that the centripetal acceleration at its surface equals the free-fall acceleration on Earth? rad/s