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?

Calculated the change in g value in your district of Tamil nadu. (Hint

1.	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?
Answer» Solution :Variation of .g. VALUEIN the latitude to chennai ` g .("Chennai") = g - omega^(2) R cos LAMBDA ` Here `omega^(2)R = ((2Pi)/T)^(2) xxR ` Periodof revolution(T) = 1 day= 86400 sec Radiusof the Earth (R ) = `6400 xx10^(3)` m Latitude of Chennai `(lambda) = 13^(@) = 0.2268 ` rad `g. _("Chennai") = 9.8 - [((2xx3.14)/(86400))^(2) xx 6400 xx10^(3)]xx (cos 0.2268 )^(2)` ` = 9.8 - [(3.4 xx10^(-2))xx(0.9744)^(2))] ` ` = 9.8 - [ 0.034 xx 0.9494 ] = 9.8 - 0.0323 ` `g . _("Chennai") = 9.7677 "ms"^(-2)` Variation of .g.valuein the latitudeof Kanyakumari `lambda_("kanyakumari ") = 8^(@)35 . = 0.1457 ` rad `g. _("Chennai") = 9.8 - [((2xx3.14)/(86400))^(2) xx 6400 xx10^(3)]xx (cos 0.2268 )^(2) - [3.4 xx10^(-2) xx (cos 0.1457)^(2) ] = 9.8 - 0.033 ` ` g. _("kanyakumari") = 9.7667 ms^(-2)` the differenceof .g. value `DELTAG = g._("Chennai") - g._("Kanyamukari")` ` = 9.7677 - 9.7667` `Deltag = 0.001 "ms"^(-2)`