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Calculated the change in g value in your...

Calculated the change in g value in your district of Tamil nadu. (Hint : Get the latitude of your district of Tamil nadu from the Google). What is the difference in g values at Chennair and Kanyakumari?

Text Solution

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`g'=g-omega^(2)Rcos^(2)lamda`
Latitude of g at Chennai `lambda=13^(@)`
`omega^(2)R=((2pi)/(T))^(2)R`
`=((2xx3.14)/(24xx60xx60))xx6400xx10^(3)`
`omega^(2)R=3.4xx10^(-2)ms^(-2)`
`13^(@)=0.2268rad`
`g_("Chennai")=9.8-(3.4xx10^(-2))xx(cos0.2268)^(2)`
`g_("Chennai")=9.7667ms^(-2)=9.767ms^(-2)`
Latitude of g at Kanyakumari`=8.08^(@)`
`omega^(@)R=((2pi)/(T))^(2)R`
`=3.4xx10^(-2)ms^(-2)`
`8^(@)=0.14rad`
`g_("Kanyakumari")=9.8-(3.4xx10^(-2))xx(cos0.14)^(2)`
`=9.798ms^(-2)`
`Deltag=9.798-9.767`
`=0.031ms^(-2)`
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