“Top gun” pilots have long worried about taking a turn tootightly. As a pilot’s body undergoes centripetal acceleration,with the head toward the center of curvature, the blood pressurein the brain decreases, leading to loss of brain function.There are several warning signs. When the centripetalacceleration is 2g or 3g, the pilot feels heavy. At about 4g,the pilot’s vision switches to black and white and narrows to“tunnel vision.” If that acceleration is sustained or increased,vision ceases and, soon after, the pilot is unconscious—a condition known as g-LOC for “g-induced loss ofconsciousness.”What is the magnitude of the acceleration, in g units, ofa pilot whose aircraft enters a horizontal circular turn with avelocity of (v1=400ˆi +500ˆj) m/s and 24.0 s later leaves theturn with a velocity of :v+ (-400ˆi - 500ˆj ) m/s?
“Top gun” pilots have long worried about taking a turn too
tightly. As a pilot’s body undergoes centripetal acceleration,
with the head toward the center of curvature, the blood pressure
in the brain decreases, leading to loss of brain function.
There are several warning signs. When the centripetal
acceleration is 2g or 3g, the pilot feels heavy. At about 4g,
the pilot’s vision switches to black and white and narrows to
“tunnel vision.” If that acceleration is sustained or increased,
vision ceases and, soon after, the pilot is unconscious—
a condition known as g-LOC for “g-induced loss of
consciousness.”
What is the magnitude of the acceleration, in g units, of
a pilot whose aircraft enters a horizontal circular turn with a
velocity of (v1=400ˆi +500ˆj) m/s and 24.0 s later leaves the
turn with a velocity of :v+ (-400ˆi - 500ˆj ) m/s?
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