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A person moves on a circular track of r...

A person moves on a circular track of radius R = 10 m in anticlockwise sense, along ACB such that `angleAOB = 120^(@)`. Find distance traversed and magnitude of displacement.

Text Solution

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Distance traversed = `arc(ACB) = "angle" xx "radius"`
`rArr "distance" = (2pi)/(3) xx 10 = (20pi)/(3)` m
Now, |Displacement| = direct approach of A to B = AB

`AB = 2(OA) sin ((120^(@))/(2))`
`=2 xx 10 xx sin 60^(@) = 10sqrt(3).`
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