Acceleration due to gravity, g, is considered to be 9.8(m/s^2). However, changes in latitude alter g according to the following model:
g = 9.78049(1 + 0.005288sin^2x-0.000006sin^2(2x))(m/s^2), where x is latitude measured in degrees.
[Side note= Hey guys i didn't know how to type in the little zero with the line across it which is the variable for degrees so i just used x, so x = zero-with-slash]
a) Rewrite g in terms of powers of sinx only
b)Find the latitude of Portland, Maine, and determine g.
c)Find the percent of change between the value calculated in part b above and the standard value of 9.8.
I seriously can't think of any! I don't even know where to begin! :(
The Attempt at a Solution
Please excuse my sorry attempt:
a)1.g = 9.78049(1 + 0.005288sin^2x-0.000006sin^2(2x))(m/s^2)
2.g = 9.78049(sin0x +sin^2x-sin^2x)
3.g = 9.78049(sin^3x)
b)Using a calc to graph
portland = 5.4 degrees
g = 95
(im probably way off)
c)5.4/9.8 = .548