At a given instant the jet plane has a speed of 550 m/s and an acceleration of 50m/s^2acting in the direction shown. Determine the rate of increase in the plane’s speed, and also the radius of curvature ρ of the path.

Question

At a given instant the jet plane has a speed of 550 m/s and an acceleration of 50 {m/s}^{ 2 }acting in the direction shown. Determine the rate of increase in the plane’s speed, and also the radius of curvature \rho of the path.

Accepted Answer

Acceleration. With respect to the n–t coordinate established as shown in Fig. a, the
tangential and normal components of the acceleration are

[latex]{ a }_{ t }=50\cos { { 70 }^{ \circ } } =17.10{ m/s }^{ 2 }=17.1{ m/s }^{ 2 }\ { a }_{ n }=50\sin { { 70 }^{ \circ }=46.98 } { m/s }^{ 2 }[/latex]

However,

[latex]{ a }_{ n }=\frac { { v }^{ 2 } }{ ho } ;\quad \quad 46.98=\frac { { 550 }^{ 2 } }{ ho } \ ho =6438.28m=6.44km[/latex]

Question : At a given instant the jet plane has a speed of 550 m/s and ...