One design for a wheel-type space station is depicted above. It consists of an outer wheel that is 80 m in diameter and has a width of 3 m, an inner hub of 6 m diameter, and four thin pylons connecting the hub to the ring as depicted above. The outer wheel has a mass of 210,00 kg, the inner hub has a mass of 60,000 kg, and each pylon has a mass of 10,000 kg. If we approximate the outer wheel as a torus, the hub as a solid disk, and each pylon as a thin rod.a) The moment of inertia?b) the angular momantum?c) the centripetal acceleration of the space station if it was spinning at a frequency of 3.3 RPM? 2. The effect of weightlessness on the human body (mostly in the form of bone and muscle loss) isconsidered one of the biggest obstacles to long term human habitation of space. One solution, firstproposed over 100 years ago, is to design a space station in the form of a wheel and to spin that wheelat a frequency such that the centripetal acceleration at the rim of the wheel is equal to at least asignificant fraction of the acceleration due to gravity at the Earth's surface. Thus, spinning the spacestation on its axis effectively creates what is called "artificial gravity." One design for a wheel-typespace station is depicted above. It consists of an outer wheel that is 80 m in diameter and has a widthof 3 m, an inner hub of 6 m diameter, and four thin pylons connecting the hub to the ring as depictedabove. The outer wheel has a mass of 210,000 kg, the inner hub has a mass of 60,000 kg, and eachpylon has a mass of 10,000 kg. If we approximate the outer wheel as a torus, the hub as a solid disk,and each pylon as a thin rod, what would be a) the moment of inertia, b) the angular momentum, andc) the centripetal acceleration of the space station if it was spinning at a frequency of 3.3 RPM?

Given information: Here, m1, m2, and, m3 are the mass of the outer wheel, inner hub and of each…

Answered: 2. The effect of weightlessness on the…

College Physics

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ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

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One design for a wheel-type space station is depicted above. It consists of an outer wheel that is 80 m in diameter and has a width of 3 m, an inner hub of 6 m diameter, and four thin pylons connecting the hub to the ring as depicted above. The outer wheel has a mass of 210,00 kg, the inner hub has a mass of 60,000 kg, and each pylon has a mass of 10,000 kg. If we approximate the outer wheel as a torus, the hub as a solid disk, and each pylon as a thin rod.

a) The moment of inertia?

b) the angular momantum?

c) the centripetal acceleration of the space station if it was spinning at a frequency of 3.3 RPM?

2. The effect of weightlessness on the human body (mostly in the form of bone and muscle loss) is
considered one of the biggest obstacles to long term human habitation of space. One solution, first
proposed over 100 years ago, is to design a space station in the form of a wheel and to spin that wheel
at a frequency such that the centripetal acceleration at the rim of the wheel is equal to at least a
significant fraction of the acceleration due to gravity at the Earth's surface. Thus, spinning the space
station on its axis effectively creates what is called "artificial gravity." One design for a wheel-type
space station is depicted above. It consists of an outer wheel that is 80 m in diameter and has a width
of 3 m, an inner hub of 6 m diameter, and four thin pylons connecting the hub to the ring as depicted
above. The outer wheel has a mass of 210,000 kg, the inner hub has a mass of 60,000 kg, and each
pylon has a mass of 10,000 kg. If we approximate the outer wheel as a torus, the hub as a solid disk,
and each pylon as a thin rod, what would be a) the moment of inertia, b) the angular momentum, and
c) the centripetal acceleration of the space station if it was spinning at a frequency of 3.3 RPM?

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