A 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 9.80m/s2 at the rim
A 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 9.80m/s2 at the rim
A 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 9.80m/s2 at the rim
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19. A 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 9.80m/s2 at the rim?
Transcribed Image Text:Formula Sheet and Checklist for Circular Motion and Gravitation
Тopic
Uniform Circular Motion
Definition/Formula
Motion in a circular path with constant speed.
Distance traveled by an object along a circular
path.
Arc length, As
Rotation Angle, AO
As
The Radian
2n radians = 1 revolution = 360°
Linear Velocity, v
Rate of change of arc length with respect to
As
time. v
At
Angular Velocity, w
Rate of change of angle with respectto time.
ω -
At
Relationship between Angular Velocity and
Linear Velocity
Centripetal Acceleration, ac
v = rw
v2
a =
a = rw?
Centripetal Force, F.
mv²
F. =
; F = mrw?
%3D
Inertial Frame of reference
A Frame of Reference moving with constant
velocity.
An accelerating Frame of Reference.
An unrealforce due to a Non-Inertial Frame of
Non-Inertial Frame of reference
Fictitious Force
Reference.
Centrifugal Force
An unreal force due to circular motion.
Coriolis Force
A fictitious force observed froma Non - Inertial
frame of Reference.
Universal Law of Gravitation
m¡m2
F = G
r2
Definition Definition Rate of change of angular displacement. Angular velocity indicates how fast an object is rotating. It is a vector quantity and has both magnitude and direction. The magnitude of angular velocity is represented by the length of the vector and the direction of angular velocity is represented by the right-hand thumb rule. It is generally represented by ω.
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