A rod PQ of length l=1 m is pivoted at an end P and is freely rotating in a horizontal plane at an angular speed `omega` about a vertical axis passing through P. If coefficient of linear expansion of material of rod is `alpha=2xx10^(-4)//^(@)C` then calculate percentage change in its angular speed (in multiple of `10^(-1))` if the temperature of system is increased by `DeltaT=10^(@)` C.

Answer

`0004`

Explanation

`(Ml^(2)omega)/3=(Ml^(2)(1+alphaDeltaT)omega')/3`
`omega'=omega(1-2alphaDeltaT)`
`(omega-omega')/3xx100=2alphaDeltaTxx100`
`=2xx2xx10^(-4)xx10=4xx10^(-1)=0004`