- #1
somebodyelse5
- 37
- 0
I have a derivation for the coriolis acceleration on a "merry go round" that my instructor gave in class, i was wondering if someone could tell me if this is correct or offer the correct final equation.
Additional information: this is from the rotating point of view on the merry go round.
[[tex]\omega [/tex] V[tex]_{}o[/tex]cos([tex]\theta[/tex]-[tex]\omega[/tex]t)+[tex]\omega[/tex]^2V[tex]_{}o[/tex]tsin([tex]\theta-\omega[/tex]t)]j-2[[tex]\omega[/tex]V[tex]_{}o[/tex]sin([tex]\theta[/tex]-[tex]\omega[/tex]t)-[tex]\omega[/tex]^2V[tex]_{}o[/tex]cos([tex]\theta[/tex]-[tex]\omega[/tex]t)]j
Note: this is not HW, just something i need to study for my exam and I am concerned it is incorrect.
V[tex]_{}o[/tex] is Initial velocity
Please forgive the poor formatting of that equation, i did my best to make it clear. For some reason, some of the omegas are off set up, and shouldn't be, could figure out why.
Additional information: this is from the rotating point of view on the merry go round.
[[tex]\omega [/tex] V[tex]_{}o[/tex]cos([tex]\theta[/tex]-[tex]\omega[/tex]t)+[tex]\omega[/tex]^2V[tex]_{}o[/tex]tsin([tex]\theta-\omega[/tex]t)]j-2[[tex]\omega[/tex]V[tex]_{}o[/tex]sin([tex]\theta[/tex]-[tex]\omega[/tex]t)-[tex]\omega[/tex]^2V[tex]_{}o[/tex]cos([tex]\theta[/tex]-[tex]\omega[/tex]t)]j
Note: this is not HW, just something i need to study for my exam and I am concerned it is incorrect.
V[tex]_{}o[/tex] is Initial velocity
Please forgive the poor formatting of that equation, i did my best to make it clear. For some reason, some of the omegas are off set up, and shouldn't be, could figure out why.