(a) What is the pilot\'s apparent weight at thelowest point of the circle if his

Question

(a) What is the pilot's apparent weight at thelowest point of the circle if his true weight is 624.2 N?
1 N

(b) What is his apparent weight at the highest point of thecircle?
2 N

(c) Describe how the pilot could experience weightlessness if boththe radius and the speed can be varied. Note: His apparent weightis equal to the magnitude of the force exerted by the seat on hisbody. Under what conditions does this occur?

3

(d) What speed would have resulted in the pilot experiencingweightlessness at the top of the loop?
4 m/s

Explanation / Answer

Hi, (a) At lowest point the apparent weight of the pilot is mg + mv2/R = 624.2N +(624.2N/9.8m/s2)(2*102m/s)2/(3.64*103m)                   = 1324.13N (b)At highest point the apparent weight of the pilot is mg - mv2/R = 624.2N -(624.2N/9.8m/s2)(2*102m/s)2/(3.64*103m)                   = -75.73N (c) Yes he will experience weightlessness at the highest point .This happens when mg - mv2/R = 0              or R =v2/g If the velocity and radius are satisfying the above equation, thenthe pilot experiences weightlessness at the highest point. (d) v = (Rg)         =[(3.64*103m)(9.8m/s2)]         = 189m/s Hope this helps you.

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