A recent high-precision determination of g has a quoted error of 6 parts in 10°. Estimate the increase in height at the Earth's surface which gives a change in g equal to this error. If the dependence of g on geographical latitude at sea level is given by 8 = 80(1 + Bsin? 4), where o is the latitude and B is a dimensionless constant with a value of 0.0053, estimate the northward displacement near latitude 45° which gives a change in g equal to the quoted error.
A recent high-precision determination of g has a quoted error of 6 parts in 10°. Estimate the increase in height at the Earth's surface which gives a change in g equal to this error. If the dependence of g on geographical latitude at sea level is given by 8 = 80(1 + Bsin? 4), where o is the latitude and B is a dimensionless constant with a value of 0.0053, estimate the northward displacement near latitude 45° which gives a change in g equal to the quoted error.
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Transcribed Image Text:A recent high-precision determination of g has a quoted error of 6 parts
in 10°. Estimate the increase in height at the Earth's surface which gives a
change in g equal to this error. If the dependence of g on geographical
latitude at sea level is given by
8 = 80(1 + Bsin? 4),
where o is the latitude and B is a dimensionless constant with a valuc of
0.0053, estimate the northward displacement near latitude 45° which gives
a change in g equal to the quoted error.
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