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A jet plane comes in for a downward dive as shown above. The bottom part of the path is a quarter circle with a radius of curvature of 280 m. According to medical tests, pilots lose con- sciousness when they pull out of a dive at an upward acceleration greater than 5.5g. At what speed (in m/s) will the pilot black out for this dive?

A jet plane comes in for a downward dive as shown above. The bottom part of the path is a quarter circle with a radius of curvature of 280 m. According to medical tests, pilots lose con- sciousness when they pull out of a dive at an upward acceleration greater than 5.5g. At what speed (in m/s) will the pilot black out for this dive?

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Problem 9 A jet plane comes in for a downward dive as shown above. The bottom part of the path is a quarter circle with a radius of curvature of 280 m. According to medical tests, pilots lose con- sciousness when they pull out of a dive at an upward acceleration greater than 5.5g. At what speed (in m/s) will the pilot black out for this dive?
Transcribed Image Text:Problem 9 A jet plane comes in for a downward dive as shown above. The bottom part of the path is a quarter circle with a radius of curvature of 280 m. According to medical tests, pilots lose con- sciousness when they pull out of a dive at an upward acceleration greater than 5.5g. At what speed (in m/s) will the pilot black out for this dive?
Expert Solution
Step 1

The centripetal acceleration is given by 

a =v2R

where, v is the velocity, R is the radius.

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