(II) A jet pilot takes his aircraft in a vertical loop (Fig. 5-43). (a) If the...

 

Transcribed Image Text:

(II) A jet pilot takes his aircraft in a vertical loop (Fig. 5-43). (a) If the jet is moving at a speed of 1200 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 6.0 g's. (b) 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 (c) at the top of the circle (assume the same speed). FIGURE 5-43 (II) A jet pilot takes his aircraft in a vertical loop (Fig. 5-43). (a) If the jet is moving at a speed of 1200 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 6.0 g's. (b) 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 (c) at the top of the circle (assume the same speed). FIGURE 5-43

Answer rating: 100% (QA)

To determine the minimum radius of the circle in the vertical loop we can use the following equations a Centripetal acceleration at the lowest point ac v2 r where ac is the centripetal acceleration v is the velocity r is the radius of the circle We are given that the centripetal acceleration should not exceed 60 gs where 1 g 98 ms2 So we can set up the equation as follows 60 g v2 r Substituting v 1200 kmh 1200 1000 3600 ms and g 98 ms2 we can solve for r 60 98 12002 r r 12002 60 98 b To calculate the pilots effective weight at the bottom of the circle we can use the following equation ... View the full answer