You have a summer internship at NASA and are working on plans for a new space station to be launched into orbit around the Earth. The design of the space station is shown. It is to be constructed in the shape of a hollow ring of mass 42,500 kg. The structures other than the ring shown in the figure have negligible mass compared to the ring. Members of the crew will walk on a deck formed by the inner surface of the outer cylindrical wall of the ring, with radius r = 120 m. The thickness of the ring is very small compared to the radius, so we can model the ring as a hoop. At rest when constructed, the ring is to be set rotating about its axis so that the people standing inside on this deck experience an effective free-fall acceleration equal to g. The rotation is achieved by firing two small rockets attached tangentially to opposite points on the rim of the ring. Your supervisor asks you to determine the following: (a) the time interval during which the rockets must be fired if each exerts a thrust of 140 N and (b) the period of rotation of the space station after it has reached its target rotation. (a) Determine the time interval (in hr) during which the rockets must be fired if each exerts a thrust of 140 N. hr

You have a summer internship at NASA and are working on plans for a new space station to be launched into orbit around the Earth. The design of the space station is shown. It is to be constructed in the shape of a hollow ring of mass 42,500 kg. The structures other than the ring shown in the figure have negligible mass compared to the ring. Members of the crew will walk on a deck formed by the inner surface of the outer cylindrical wall of the ring, with radius r = 120 m. The thickness of the ring is very small compared to the radius, so we can model the ring as a hoop. At rest when constructed, the ring is to be set rotating about its axis so that the people standing inside on this deck experience an effective free-fall acceleration equal to g. The rotation is achieved by firing two small rockets attached tangentially to opposite points on the rim of the ring. Your supervisor asks you to determine the following: (a) the time interval during which the rockets must be fired if each exerts a thrust of 140 N and (b) the period of rotation of the space station after it has reached its target rotation. (a) Determine the time interval (in hr) during which the rockets must be fired if each exerts a thrust of 140 N. hr

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

Uranus has a mass of 8.68 x 1025 kg and a radius of 2.56 x 10 m. Assume it is a uniform solid sphere. The distance of Uranus from the Sun is 2.87 x 10¹2 m. (Assume Uranus completes a single rotation in 17.3 hours and orbits the Sun once every 3.08 x 104 Earth days.) (a) What is the rotational kinetic energy of Uranus on its axis? J (b) What is the rotational kinetic energy of Uranus in its orbit around the Sun? J
The evolution of a star depends on its size. If a star is sufficiently large, the gravity forces holding it together may be large enough to collapse it into a very dense object composed mostly of neutrons. The density of such a neutron star is about 1014 times that of the Earth. Suppose that a star initially had a radius of 7 x 108 km, and it rotated once every 26 days. What would be the period of rotation if the star collapsed to a radius of 15 km? (1.19 x 10-14 days)
If the rotational speed of the centrifuge used to separate blood is (rev/min 3000) assuming that the blood cells are spherical, calculate the sedimentation rate of the blood cell whose diameter is (20 um) and its density (kg/m3 1125) in a blood test tube. Suppose the cell is at a distance of (5 cm) from the axis of rotation, given that the density of blood (kg/m 1050) and its viscosity (Pa. s 103 x 2.7) 0.304 m/s 0.0304 m/s 0.00304 m/s O O 0.121 m/s O 0.0121 m/s 0.00121 m/s 0
Problem 1: Kepler 22b is a possibly inhabitable exoplanet that has mass of 36MEarth and radius of 2.4REarth. An astronaut visiting this planet is holding a simple pendulum consisting of a small 60.0 g bob at the end of a cord of negligible mass. The bob is measured to weigh 3.675 N on Kepler 22b. If the angle 0 between the cord and the vertical is given by (0.0800 rad) cos[(9.86 rad/s)t + ø] (a). What is the length of the pendulum? (b). What is the maximum kinetic energy of the pendulum?
a) Calculate the angular momentum (in kg · m2/s) of Mercury in its orbit around the Sun. (The mass of Mercury is 3.300 ✕ 1023 kg, the orbital radius is 5.790 ✕ 107 km and the orbital period is 0.241 y.) kg · m2/s (b) Compare this angular momentum with the angular momentum of Mercury on its axis. (The radius of Mercury is 2.440 ✕ 103 km and the rotation period is 1408 h.) Lorbital Lrotation =
для загрузки фало перетащите их стода. The mass of a solid cube is 856 mg, and each edge has a length of 1 cm. Determine the density of the cube in basic Sl units. Ответ: A disk with a radius of 3,7 cm rotates around a fixed axis so that the dependence of the angle of rotation of the disk radius on time is given by the equation Q = A + Bt + Ct2 + Dt³ (B = 5,9 rad/s, C = 9,7 rad/s², D = 2,3 rad/s³). Determine the normal
Please Asap
The two pieces of the spacecraft are returned to their initial configuration with a period of 226.8 seconds. A radiation leak is detected in one of the engines. An escape pod from each section of the spacecraft are ejected as indicated in the figure. Notice that the direction of rotation for the two pieces of the spacecraft is also indicated in the figure. The escape pods each have a mass of 13200 kg and are ejected with a speed of 79.13 m/s along the directions indicated in the figure with θ = 27 degrees. What is the new period of the remaining spacecraft after the two escape pods are ejected? *Original Scenario* - One way to provide artificial gravity (i.e., a feeling of weight) on long space voyages is to separate a spacecraft into two parts at the ends of a long cable, and set them rotating about their center of mass. A craft has been separated into two parts with a mass of 87900 kg each, at the ends of a cable with their centers of mass 91 m apart, rotating around the center…
Consider a disc of mass 0.44kg, with radius 0.5 m on a slope with angle 45 degrees to the horizontal. It has a good grip on the slope and does not slip. The disc is constructed so that its mass per unit area, ρ(r) = r1/2 kg m−2, with r being the radial distance in metres from the axis of the disc. What is the acceleration of the disc down the slope?
The figure below shows three flat disks (of the same radius) that can rotate about theircenters
A ceiling fan consists of a small cylindrical disk with 5 thin rods coming from the center. The disk has mass md = 2.7 kg and radius R = 0.25 m. The rods each have mass m, = 1.2 kg and length L = 0.86 m.
Please answer vertically, not horizontally so that no steps are miscalculated for this problem. A unicorn is standing on a rotating platform so that it can be admired from every angle. The platform is 5 m in radius and rotates every 8 seconds (otherwise known as 1/8 of a rotation per second). What coefficient of friction must the unicorn's hooves have to keep him from slipping over the edge? This answer is not shown correctly on bartleby. Would he need a higher or lower coefficient of friction to stand closer to the center of the rotating platform? Explain.