Stunt pilots and fighter pilots who fly at high speeds in a downward-curving are may experience a “red out,” in which blood is forced upward into the flier’s head, potentially swelling or breaking capillaries in the eyes and leading to a reddening of vision and even loss of consciousness. This effect can occur at centripetal accelerations of about 2.5 g ’s. For a stunt plane flying at a speed of 320 km/h, what is the minimum radius of downward curve a pilot can achieve without experiencing a red out at the top of the arc? ( Hint: Remember that gravity provides part of the centripetal acceleration at the top of the arc; it’s the acceleration required in excess of gravity that causes this problem.)
Stunt pilots and fighter pilots who fly at high speeds in a downward-curving are may experience a “red out,” in which blood is forced upward into the flier’s head, potentially swelling or breaking capillaries in the eyes and leading to a reddening of vision and even loss of consciousness. This effect can occur at centripetal accelerations of about 2.5 g ’s. For a stunt plane flying at a speed of 320 km/h, what is the minimum radius of downward curve a pilot can achieve without experiencing a red out at the top of the arc? ( Hint: Remember that gravity provides part of the centripetal acceleration at the top of the arc; it’s the acceleration required in excess of gravity that causes this problem.)
Stunt pilots and fighter pilots who fly at high speeds in a downward-curving are may experience a “red out,” in which blood is forced upward into the flier’s head, potentially swelling or breaking capillaries in the eyes and leading to a reddening of vision and even loss of consciousness. This effect can occur at centripetal accelerations of about 2.5g’s. For a stunt plane flying at a speed of 320 km/h, what is the minimum radius of downward curve a pilot can achieve without experiencing a red out at the top of the arc? (Hint: Remember that gravity provides part of the centripetal acceleration at the top of the arc; it’s the acceleration required in excess of gravity that causes this problem.)
In a vertical dive, a peregrine falcon can accelerate at 0.6 times the free-fall acceleration ? (that is, at 0.6? ) in reaching a speed of about 120 m/s. If a falcon pulls out of a dive into a circular arc at this speed and can sustain a radial acceleration of 0.6?, what is the radius ? of the turn?
An Aston Martin V8 Vantage sports car has a "lateral acceleration" of 8
m/s?. This is the maximum centripetal acceleration the car can sustain
without skidding out of a curved path. If the car is traveling at a
constant 43 m/s on level ground, what is the radius R of the tightest
unbanked curve it can negotiate?
Our balance is maintained, at least in
part, by the endolymph fluid in the inner ear. Spinning displaces
this fluid, causing dizziness. Suppose that a skater is spinning very
fast at 3.0 revolutions per second about a vertical axis through the
center of his head. Take the inner ear to be approximately 7.0 cm
from the axis of spin. (The distance varies from person to person.)
What is the radial acceleration (in m>s
2
and in g’s) of the endolymph fluid?
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