A space habitat for a long space voyage consists of two cabins eachconnected by a cable to a central hub. The cabins are set spinningaround the hub axis, which is connected to the rest of thespacecraft to generate artificial gravity.
(a) What forces are acting on an astronaut in one of thecabins?
(b) Write Newton's second law for an astronaut lying on the "floor"of one of the habitats, relating the astronaut's mass m, hisvelocity v, his radial distance from the hub r, and the normalforce n.
Newton's 2nd Law= ?
Normal Force= ?
(c) What would n have to equal if the 65.0-kg astronaut is toexperience half his normal Earth weight?
(d) Calculate the necessary tangential speed of the habitat fromNewton's second law.
(e) Calculate the angular speed from the tangential speed.
(f) Calculate the period of rotation from the angular speed.
(g) Calculate the tangential speed at the top of his head if he is2.08 m tall.
A space habitat for a long space voyage consists of two cabins eachconnected by a cable to a central hub. The cabins are set spinningaround the hub axis, which is connected to the rest of thespacecraft to generate artificial gravity.
(a) What forces are acting on an astronaut in one of thecabins?
(b) Write Newton's second law for an astronaut lying on the "floor"of one of the habitats, relating the astronaut's mass m, hisvelocity v, his radial distance from the hub r, and the normalforce n.
Newton's 2nd Law= ?
Normal Force= ?
(c) What would n have to equal if the 65.0-kg astronaut is toexperience half his normal Earth weight?
(d) Calculate the necessary tangential speed of the habitat fromNewton's second law.
(e) Calculate the angular speed from the tangential speed.
(f) Calculate the period of rotation from the angular speed.
(g) Calculate the tangential speed at the top of his head if he is2.08 m tall.
