The speed of the pilot must be 20.4 m/s
Explanation:
The centripetal force acting on the pilot is given by
[tex]F=m\frac{v^2}{r}[/tex]
where
m is the mass of the pilot
v is its linear speed
r is the distance from the center of rotation
In this problem, we have the following data:
m = 80 kg
r = 6.7 m
F = 4950 N is the centripetal force
Solving for v, we find the speed that the pilot should have:
[tex]v=\sqrt{\frac{Fr}{m}}=\sqrt{\frac{(4950)(6.7)}{80}}=20.4 m/s[/tex]
Learn more about circular motion:
brainly.com/question/2562955
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