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Chapter 4: Q. 32 (page 107)

I To withstand "g-forces" of up to10g 's, caused by suddenly BI0 pulling out of a steep dive, fighter jet pilots train on a "human centrifuge." 10g's is an acceleration of 98m/s2. If the length of the centrifuge arm is 12m, at what speed is the rider moving when she experiences 10 g's?

Short Answer

Expert verified

The speed of the rider is34.29m/s.

Step by step solution

01

 Step 1. Given information

The centrifugal acceleration of the fighter jet pilot is 10 g that is 98m/s2, the length of the centrifuge arm is 12m.

02

Step 2. Explanation

The centrifugal acceleration of the pilot of the fighter jet is,

-ac=v2r

Here,ac is the centrifugal acceleration of the pilot, vis the linear speed of the pilot, and ris the length of the centrifuge arm.

98m/s2=v2(12m)

v=98m/s2×(12m)=34.29m/s

Thus, the linear speed of the rider is 34.29m/s.

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