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Q.

What is approximately the centripetal acceleration (in units of acceleration due to gravity on earth, g = 10 ms-2) of an aircraft flying at a speed of 400 ms-1 through a circular arc of radius 0.6 km?

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a

26.7

b

16.9

c

13.5

d

30.2

answer is A.

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Detailed Solution

Here, v = 400 ms-1          r = 0.6 km = 0.6× 103 m         g = 10 ms-2Centripetal acceleration,    ac = v2r = (400 ms-1)20.6 ×103 m         = 16×104 m2s-20.6 × 103m = 16 ×100.6ms-2        = 26.7 × 10 ms-2In the units of g ( = 10 ms-2), the centripetal acceleration is 26.7
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