With the basic concepts learnt, you should be able to evaluate the radius of cur

Question

With the basic concepts learnt, you should be able to evaluate the radius of curvature at any point on the trajectory. For a projectile in flight, the x- and y- components of velocity at a particular instant are shown as below. Please calculate the radius of curvature at that instant. The figures on the right should give you some valuable hints! And the following formula is Where: Evaluate the radius of curvature at the current instant. This task will be assessed. Enter Number: Please click 'Check' when you are ready to proceed.

Explanation / Answer

tan(theta) = Vy / Vx = 0.08263

V = sqrt(Vy^2 + Vx^2) = 166.365 m/s

an = V^2/ r

an = gcos(theta) = 9.8*0.9966 = 9.7667 m/s^2

r = 166.365^2/9.7667 = 2872.372 m

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