Question

A space station shaped like a giant wheel has a radius of 107 m
and a moment of inertia of 5.21 ✕ 10^{8} kg ·
m^{2}. A crew of 150 lives on the rim, and the station is
rotating so that the crew experiences an apparent acceleration of
1*g*. When 100 people move to the center of the station for
a union meeting, the angular speed changes. What apparent
acceleration is experienced by the managers remaining at the rim?
Assume that the average mass of each inhabitant is 65.0 kg.

Answer #1

The answer for above problem is explained below.

A space station orbits the Earth. The station is formed like a
bicycle wheel with a rim and hallways connected to a central hub.
The station rotates around the central hub to provide a centripetal
acceleration along the outer rim to serve in place of the Earth’s
gravity. Suppose the station is inhabited by 10 people of equal
mass. At the moment, there are 5 people in the central hub and 5
along the outer rim. Then two people move...

A large grinding wheel in the shape of a solid cylinder of
radius 0.330 m is free to rotate on a frictionless, vertical axle.
A constant tangential force of 260 N applied to its edge causes the
wheel to have an angular acceleration of 0.836
rad/s2.
(a) What is the moment of inertia of the wheel?
kg · m2

PART 1: You're out in space, on a rotating
wheel-shaped space station of radius 688 m. You feel planted firmly
on the floor, due to artificial gravity. The gravity you experience
is Earth-normal, that is, g = 9.81 m/s^2. How fast is the space
station rotating in order to produce this much artificial gravity?
Express your answer in revolutions per minute (rpm).
A) 1.140 rpm
B) 0.119 rpm
C) 82.2 rpm
D) 0.684 rpm
PART 2: This time, the space...

a)
A large 51.8 kg pottery wheel has a radius of 0.74 m, and can be
considered as a solid cylinder rotating about an axis through its
center. How much work must be done on the pottery wheel to increase
the rate at which it is spinning from 83.0 rpm (rotations per
minute) to 139.0 rpm? Give your answer in J.
Hint: The moment of inertia for a solid cylinder rotating about
its center with mass M and radius R...

A child pushes her friend (m = 25 kg) located at a radius r =
1.5 m on a merry-go-round (rmgr = 2.0 m, Imgr
= 1000 kg*m2) with a constant force F = 90 N applied
tangentially to the edge of the merry-go-round (i.e., the force is
perpendicular to the radius). The merry-go-round resists spinning
with a frictional force of f = 10 N acting at a radius of
1 m and a frictional torque τ = 15 N*m...

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