Question

Force acting on an object of mass m travelling at velocity v in a circle of radius r is given by f=mv^2/r.The% error in m,r and f are 2,4 and 5%.Calculate %error in velocity

Answer 1

Answer:

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Answer 2

Answer:

3.47%

Explanation:

Given f = mv^2/r

=> v = square root of (fr/m)

so,

m2 = 102/100 m1

r2 =  104/100 r1

f2 = 105/100 f1

now, v1 = square root of (f1r1/m1)

and, v2 = square root of (f2r2/m2)

v2/v1 = square root of (f2r2m1/f1r1m2)

         = square root of (105*104*100/ 100*100*102)

         = square root of (107.06/100)

         = square root of (10706/10000)

         = 103.47/100

so, v2 = 103.47/100 v1

therefore, the % error in velocity is 3.47%