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23 Nov 2019
A space habitat for a long space voyage consists of twocabinseach connected by a cable to a central hub as shown in thefigurebelow. The cabins are set spinning around the hub axis, whichisconnected to the rest of the spacecraft to generateartificialgravity. (a) Write Newton's second law for an astronaut lying onthe"floor" of one of the habitats, relating the astronaut'smassm, his velocity v, his radial distance fromthehub r, and the normal force n. Newton's 2nd Law = ? Normal Force = ? (b) What would n have to equal if the 65.0-kgastronaut is to experience half his normalEarth weight?(N) (c) Calculate the necessary tangential speed of thehabitatfrom Newton's second law. (m/s) (d) Calculate the angular speed from the tangentialspeed.(rad/s) (e) Calculate the period of rotation from the angularspeed.(s) (f) Calculate the tangential speed at the top of his head ifheis 2.08 m tall. (m/s)
A space habitat for a long space voyage consists of twocabinseach connected by a cable to a central hub as shown in thefigurebelow. The cabins are set spinning around the hub axis, whichisconnected to the rest of the spacecraft to generateartificialgravity.
(a) Write Newton's second law for an astronaut lying onthe"floor" of one of the habitats, relating the astronaut'smassm, his velocity v, his radial distance fromthehub r, and the normal force n.
Newton's 2nd Law = ?
Normal Force = ?
(b) What would n have to equal if the 65.0-kgastronaut is to experience half his normalEarth weight?(N)
(c) Calculate the necessary tangential speed of thehabitatfrom Newton's second law. (m/s)
(d) Calculate the angular speed from the tangentialspeed.(rad/s)
(e) Calculate the period of rotation from the angularspeed.(s)
(f) Calculate the tangential speed at the top of his head ifheis 2.08 m tall. (m/s)
