The pilot of an airplane executes a constant-speed loop-the-loop maneuver in avertical circle as in Figure 7.13b. The speed of the airplane is 2.00 × 102 m/s, and theradius of the circle is 3.20 × 103 m. (a) What is the pilot's apparent weight at the lowestpoint of the circle if his true weight is 712 N? (b) What is his apparent weight at thehighest point of the circle? (c) Describe how the pilot could experience weightlessnessif both the radius and the speed can be varied. Note: His apparent weight is equal tothe magnitude of the force exerted by the scat on his body. Under what conditionsdoes this occur? (d) What speed would have resulted in the pilot experiencingweightlessness at the top of the loop?
The pilot of an airplane executes a constant-speed loop-the-loop maneuver in a
vertical circle as in Figure 7.13b. The speed of the airplane is 2.00 × 10
2 m/s, and the
radius of the circle is 3.20 × 10
3 m. (a) What is the pilot's apparent weight at the lowest
point of the circle if his true weight is 712 N? (b) What is his apparent weight at the
highest point of the circle? (c) Describe how the pilot could experience weightlessness
if both the radius and the speed can be varied. Note: His apparent weight is equal to
the magnitude of the force exerted by the scat on his body. Under what conditions
does this occur? (d) What speed would have resulted in the pilot experiencing
weightlessness at the top of the loop?
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