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?

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Chapter4: Motion In Two And Three Dimensions
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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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