- #1
emptymaximum
- 110
- 0
how do you express angular velocity in spherical coordinates?
like the Earth rotates with constant speed, so the direction of the angular velocity vector is out the north pole.
if it was spherical coordinates , how do you specify that direction?
i know that z = r cos theta so
[tex] \hat{k} = r cos \theta \hat{e_{\theta}} [/tex] ?
the problem is:
for a particle moving in a horizontal plane on the surface of the Earth show that the magnitude of the coriolis force is independent of the direction of motion of the particle.
so the question i asked isn't the HW problem and a direct answer would be much appreciated.
also, this is sort of a dumb question, but does the [itex] \theta , \phi [/itex] plane count as a plane? if it doesn't, why wouldn't it?
like the Earth rotates with constant speed, so the direction of the angular velocity vector is out the north pole.
if it was spherical coordinates , how do you specify that direction?
i know that z = r cos theta so
[tex] \hat{k} = r cos \theta \hat{e_{\theta}} [/tex] ?
the problem is:
for a particle moving in a horizontal plane on the surface of the Earth show that the magnitude of the coriolis force is independent of the direction of motion of the particle.
so the question i asked isn't the HW problem and a direct answer would be much appreciated.
also, this is sort of a dumb question, but does the [itex] \theta , \phi [/itex] plane count as a plane? if it doesn't, why wouldn't it?
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