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$\bullet$ Pilot blackout in a power dive. A jet plane comes in for a downward dive as shown in Figure $3.39 .$ The bottom part of the path is a quarter circle having a radius of curvature of 350 $\mathrm{m} .$ According to medical tests, pilots lose consciousness at an acceleration of 5.5$g .$ At what speed (in $\mathrm{m} / \mathrm{s}$ and mph) will the pilot black out for this dive?

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$v=137 \mathrm{m} / \mathrm{s}$$v=307 \mathrm{mph}$

Physics 101 Mechanics

Chapter 3

Motion in a Plane

Physics Basics

Motion Along a Straight Line

Motion in 2d or 3d

Newton's Laws of Motion

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03:28

Newton's Laws of Motion are three physical laws that, laid the foundation for classical mechanics. They describe the relationship between a body and the forces acting upon it, and its motion in response to those forces. These three laws have been expressed in several ways, over nearly three centuries, and can be summarised as follows: In his 1687 "Philosophiæ Naturalis Principia Mathematica" ("Mathematical Principles of Natural Philosophy"), Isaac Newton set out three laws of motion. The first law defines the force F, the second law defines the mass m, and the third law defines the acceleration a. The first law states that if the net force acting upon a body is zero, its velocity will not change; the second law states that the acceleration of a body is proportional to the net force acting upon it, and the third law states that for every action there is an equal and opposite reaction.

04:16

In mathematics, a proof is a sequence of statements given to explain how a conclusion is derived from premises known or assumed to be true. The proof attempts to demonstrate that the conclusion is a logical consequence of the premises, and is one of the most important goals of mathematics.

01:59

$\bullet$ Pilot blackout i…

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3.25 BIO Pilot Blackout in…

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03:44

Exercise 3.25A jet…

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3.33: Pilot blackout in a …

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When a fighter pilot makes…

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A $50.0 \mathrm{~kg}$ stu…

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A $\mathrm{A} 50.0 \mathrm…

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$\mathrm{A} 50.0 \mathrm{~…

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So here we know that the pilot will pass out if the radio exploration exceeds 5.5 g's. We know that the radius here is 350 meters, so we simply we know that the radio acceleration equals V squared over R. This is the formula for the radio acceleration so we can solve for the velocity and say that the velocity will simply be equal to the square root of the radius times to accelerate the radio acceleration. And this will simply be equal to five times g times are the square root of five times g times are so we can get the velocity at which the pilot is going to pass out and this will be 5.5 times 9.8 times 350 and this is going to equal 137.3 meters per second. Now They want this in miles per hour as well, so we can say 13 101 137.3 meters per second and then for every one mile there is 1,609 meters and then there are 36 100 seconds for every one hour and we can simply say that this is going to be equal to 307 0.3 miles per hour. So this would be the speed at which the pilot is going to pass out in miles per hour. And this is the speed at which the pilot's going to pass out in meters per second. That is the end of the solution. Thank you for watching.

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