Speed Calculation of Fighter Jet Pilot on Human Centrifuge

To withstand "g-forces" of up to 10 g's, caused by suddenly pulling out of a steep dive, fighter jet pilots train on a "human centrifuge." 10 g's is an acceleration of 98m/s². Speed of the rider is 34.293m/sec when she experiences 10g's and the length of the centrifuge is 12m.

Understanding Centripetal Acceleration Increase

Centripetal acceleration increase is characterized as the property of the movement of an item navigating a roundabout way. Any item that is moving all around and has a speed increase vector pointed towards the focal point of that circle is known as Centripetal acceleration increase. You probably have seen different instances of centripetal acceleration increase in your daily existence. On the off chance that you drive a vehicle around a circle, your vehicle is going through centripetal acceleration increase, and a satellite circling the earth likewise follows a centripetal acceleration increase. Centripetal means towards the middle.

Calculation of Speed for Fighter Jet Pilot

The centripetal acceleration of the fighter jet pilot is given by the formula a=v²/r where a is the acceleration, v is the speed, and r is the distance of the fighter jet from the center. Given a=98m/s², v=?, r=12m, after putting all respective quantities value we get:

98 = v²/12
v² = 98 × 12
v² = 1176m²/s²
v = √1176m²/s²
v = 34.29m/sec

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

The speed of the fighter jet pilot is 34.29m/sec.