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A jet pilot takes his aircraft in a vertical loop. If the jet is moving at a spe

ID: 2141111 • Letter: A

Question

A jet pilot takes his aircraft in a vertical loop.If the jet is moving at a speed of 1140

km/h at the lowest point of the loop, determine the minimum radius of the circle so that the centripetal acceleration at the lowest point does not exceed 6.6 g's.express answer in 2 sig figs and units Calculate the 78-kg pilot's effective weight (the force with which the seat pushes up on him) at the bottom of the circle, and at the top of the circle (assume the same speed).Express your answers using two significant figures separated by a comma.

Explanation / Answer

Let r = minimum radius,v= velocity,
w = weight
Centrifical force(cf) = w*v^2/g*r
6.6g's = cf/w
set the centrifical forces equal
6.6w = w*v^2 /g*r
1140km/hr = 315.4m/sec
r = 315.4^2/6.6*9.8 =1537.989486703772meters

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