An astronaut is freely floating in space away from the space station. He has a drill. The drill is rotating, but the astronaut is not rotating. Is it possible for him to rotate about any axis that he wants? How
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An astronaut is freely floating in space away from the space station. He has a drill. The drill is rotating, but the astronaut is not rotating. Is it possible for him to rotate about any axis that he wants? How?
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- Gravity is an example of a central force that acts along the line connecting two spherical masses. HINT (a) As a planet orbits its sun, how much torque does the sun's gravitational force exert on the planet? Gm. O T= planet'sun 2Gm OT= planet"sun Or= 0 Gm planet" sun OT= 2r Gm planet"sun O T= (b) As a planet orbits its sun, what is the change in the planet's orbital angular momentum? Gm AL = planet m sun At Gm AL = planet'sun At AL = 0 Gm planet"sun AL = 2rAt O AL = Gm planet'sun rAt18) Consider an adult and a child riding their bikes. The adult's bicycle has tires with an outer diameter of 700 centimeters. The child's bicycle has tires with an outer diameter of 350 centimeters. The adult bicycle's tires are rotating with an angular velocity of 4.0 radians per second. If the child cyclist is traveling along the road at the same speed as the adult, then what angular velocity must the child's bicycle's tires be rotating at? [Assume the tires are rotating without slipping as the cyclists ride]. A) 1.0 radians second per B) 2.0 radians per second C) 4.0 radians per second D) 8.0 radians per second E) 16.0 radians per second abnoose e GA 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. If the space station is 200 m in diameter, what angular velocity would produce an “artificial gravity” of 9.80 m/s2 at the rim?
- While placing a compact disc into a CD player, you notice a small chip on its edge. You attempt to play the CD anyway by placing the CD into the player's deck with the chip at ?0=15.2∘θ0=15.2∘ as measured from the +?+x‑axis. The CD begins to rotate with angular acceleration ?=2.31 rad/s2.α=2.31 rad/s2. If the CD has been spinning for ?=3.51 st=3.51 s and the disc has a radius of ?=6.00 cm,r=6.00 cm, what are the ?–?x–y coordinates of the chip after this time, assuming the center of the disc is located at (0.00,0.00)8) Now we have a rod-shaped space station of length 577 m and mass 9.02 x 10^6 kg, which can change its length (kind of like an old-fashioned telescope), without changing its overall mass. Suppose that the station is initially rotating at a constant rate of 1.18 rpm. If the length of the rod is reduced to 325 m, what will be the new rotation rate of the space station? Question 8 options: 3.72 rpm 1.86 rpm 5.95 rpm 1.30 rpmA 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. If the space station is 180 meters in diameter, what angular velocity would produce an “artificial gravity” of 9.80 meters per second squared at the rim in radians per second?
- ФЫ В А ПРОЯВАПРОЛДЗА ПРОЛДЖЭ ЯЧСМИТНЧСМИТЬБНСМИТЬБЮ SOLVE STEP BY STEP IN DIGITAL FORMAT 39.- A small sphere of lead with a mass of 25g is connected to the origin by a thin rod of 74cm and negligible mass. The rod rotates around the z axis in the (x,y) plane. A constant force of 22N in the "y" direction acts on the sphere. a) Assuming that the sphere is a particle, what will be the rotational inertia about the origin? b) If the rod makes an angle of 40° with the positive x-axis, calculate its angular acceleration. 40.- Three particles are connected to a thin rod one meter long and of negligible mass that rotates around the origin in the (x,y) plane. Particle 1 (mass 52g) is attached at a distance of 27cm from the origin, particle 2 (35g) is at 45cm and particle 3 (24g) is at 65cm. a) What is the rotational inertia of the system? b) if instead the rod rotated around the center of mass of the system, what would its rotational inertia be? ИЦУКЕНГШУКЕНІ ШЩКЕНТ ШщзхьHi! I'm struggling with this question on my trigonometry homework about angular velocity and linear velocity. A line from the center to the edge of a CD revolving 300 times per minuteA fisherman is reeling in a fish at a speed of 0.42 m/s. The fishing line is being spooled onto a reel whose radius is 0.017 m. What is the angular speed of the reel?