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September 14, 2014

September 14, 2014

Posted by **joseph** on Thursday, April 21, 2011 at 5:16am.

- physics -
**Damon**, Thursday, April 21, 2011 at 7:29amWhat is centripetal acceleration as a function of latitude?

w = 2 pi/24 hours = 2 pi /(24*3600) rad/s

Ac = w^2 r

r = Re cos (Lat)

where Re is earth radius and Lat is latitude angle

calculate Ac

call tension in plumb bob line T

then T will be off the direction to center of earth by angle A

T vector - mg vector = m Ac vector

draw those with mg toward earth center and Ac horizontal toward earth N-S axis

Then |T| cos A = m |Ac| cos Latitude +mg

and |T| sin A = m |Ac| sin Latitude

approximate |T| by m g

then sin A = (Ac/g) sin Latitude approximately

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