Ajet pilot takes his aircraft into a vertical loop. if the jet is moving at a speed of 700km/hr at the lowest point in the loop, determine the radius of the circle so that the acceleration which the pilot experiences at the lowest point of the loop does not exceed 6 time the acceleration due to gravity or (6g’s).

The radius of circle is 643 m.

Explanation:

The centripetal acceleration of the jet is

Where,

a is "centripetal acceleration"

V is "speed "

r is "radius of the circle "

Given values ,

Speed of the jet (v) = 700 km/h

(1 km = 1000 m; 1 h = 3600 sec. To convert km/h into m/sec, multiply the number by 5 and then divide it by 18.)

Speed of the jet (v)

V = 194.444 m/s

a = 6g's

Substitute the given values in the formula,

a = 643 m

The radius of circle is 643 m.

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