A jet fighter flying at 300 m/s (just below the speed of sound) makes a turn of radius 2.55 km. (a)What is its centripetal acceleration in gs? (b)Suppose the pilot makes an emergency turn to avoid an approaching missile, subjecting himself to a centripetal acceleration of 10 gs, while flying at 400 m/s (supersonic). What is the radius, in km, of his turn? (This must be short-lived because fighter planes can only briefly endure such large accelerations without serious damage, and the pilot will soon black out at 10 gs.)
A jet fighter flying at 300 m/s (just below the speed of sound) makes a turn of radius 2.55 km. (a)What is its centripetal acceleration in gs? (b)Suppose the pilot makes an emergency turn to avoid an approaching missile, subjecting himself to a centripetal acceleration of 10 gs, while flying at 400 m/s (supersonic). What is the radius, in km, of his turn? (This must be short-lived because fighter planes can only briefly endure such large accelerations without serious damage, and the pilot will soon black out at 10 gs.)
Principles of Physics: A Calculus-Based Text
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ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
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Chapter3: Motion In Two Dimensions
Section: Chapter Questions
Problem 5OQ: Does a car moving around a circular track with constant speed have (a) zero acceleration, (b) an...
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A jet fighter flying at 300 m/s (just below the speed of sound) makes a turn of radius 2.55 km.
(a)What is its centripetal acceleration in gs?
(b)Suppose the pilot makes an emergency turn to avoid an approaching missile, subjecting himself to a centripetal acceleration of 10 gs, while flying at 400 m/s (supersonic). What is the radius, in km, of his turn? (This must be short-lived because fighter planes can only briefly endure such large accelerations without serious damage, and the pilot will soon black out at 10 gs.)
Expert Solution
Step 1
a)
Given,
The speed of the fighter jet = v = 300m/s
Radius of the turn = r = 2.55km = 2.55×103m
We know that,
Centripetal acceleration (a) is given by,
a= v²/r
Substituting know values,
a = 300²/(2.55×10³)
a = 35.29411764 m/s² is the required centripetal acceleration.
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