If the earth expands suddenly to twice its diamteter, what would be the length of the day ?
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Here, `D_(2) = 2D_(1) :. R_(2) = 2 R_(1)`.
`T_(1) = 1 day = 24 hr, T_(2) = ?`
According to the law of conservation of angular
momentum, `I_(2)omega_(2) = I_(1)omega_(1)`
`(2)/(5)mR_(2)^(2) ((2pi)/(T_(2))) = (2)/(5)mR_(1)^(2) ((2pi)/(T_(1)))`
`T_(2) = T_(1) ((R_(2))/(R_(1)))^(2) = 24 (2)^(2) = 96 hours`