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Explore the concept of artificial gravity and its practical applications in centrifuges, pilot training, liquid separation, and amusement rides. Understand key principles like centripetal force, fake gravity, and the impact of orbital forces on satellites and astronauts.
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Centrifuge • A centrifuge spins to create an artificial gravity. • Liquid separation • Pilot training • Amusement rides
Fake Gravity • The centripetal force is like an elevator accelerating upward. • Fnet = mar = FN • The net force must be due to a normal force. • Experience as weight • If rw2 = g then it matches earth’s gravity. Satellite a F • Artificial gravity is a fictitious force
Gravitron • The Gravitron is an amusement ride that uses centripetal force. • Rotates at 24 rpm • Diameter is 14 m
Centripetal Correction • The spin of the earth creates a centripetal acceleration toward the axis of the earth. • The effect is like accelerating down in an elevator. • Items weigh less at the equator. a = w2r
Orbital Force • Newton’s law of acceleration applies to orbits. • Centripetal acceleration times mass is the force of gravity • The situation is the same for the satellite or any object in the satellite. orbital velocity Satellite or astronaut F a centripetal acceleration Earth
The net force of an object in circular orbit matches the centripetal acceleration. This is the same for a freely falling object. Velocity does not change the force or acceleration. Free Fall v Fnet a a = g Fnet = mg v Earth
Weightlessness • Objects in free fall exert no normal force. • Fnet = -ma = -mg + FN • If a = g, FN = 0 • The same is true in orbit. • Fnet = mar = Fgrav + FN • If ar = Fgrav/m, FN = 0 • Objects in orbit are weightless.
Tidal Gravity • The Moon’s gravity is strongest at the closest point. • Near face ocean pulled most • Far face ocean pulled least • Sides pulled slightly in Moon’s gravity Moon Earth
Ocean Tides • From Earth a person doesn’t sense the Moon’s pull. • Near and far faces of the ocean bulge away • Sides are pulled slightly in • Tides occur twice a day as Earth rotates. Moon’s tidal pull Moon Earth
On a turntable a pendulum doesn’t appear to swing straight. Table turns the observer Fictitious force The deflection is called the Coriolis force. Pendulum Swing Fcor Fcor
Cyclone • In the absence of rotation air would move from high to low pressure. • Straight line wind • The Coriolis force causes wind to turn. • Friction causes equilibrium • Circular wind pattern around low L L