Answer to Question 2

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(a) v2 = gr tan q

r = v2 (g tan q) = (50 m s-1)2 (9.8 m s-2 tan 30) = (50 m s-1)2 (9.8 0.577)

r = 440 m (442 m)

 

(b) v = wr w = v/r = 50 m s-1 442 m = 0.113 rad s-1.

(c) F = mw2r = 75 kg (0.113 rad s-1)2 442 m = 420 N (424 N)