- #1
Garunekk
- 6
- 0
Hi,
I would need some help with my homework. I am lost.
Solve free fall from height h to the Earth´s surface in the place with geographical width φ. During solving, omit addiction gravitational acceleration to the distance. (consider a homogeneous gravity field) and variables which are including angular speed ω consider for much less then variables including gt. Consider h=100m and
φ=0 degree.
The result should be y(t)=(gωt^3cosφ)/3. Bud I am not sure, how to get it. I am sure I have to use Coriolisi´s force.
I tried to use formulas for free fall
v=v0+gt
y=y0+v0t+1/2gt^2
And use Coriolis force Fc=-2mωvsinφ
And acceleration ac=-2ωv
I tried also create a differential equation as a
m (dv/dx)(dx/dt)=-2mωvsinφ, where dx/dt=v
But no matter what, I still couldn´t get to my result.
Thank you for your help.
I would need some help with my homework. I am lost.
Solve free fall from height h to the Earth´s surface in the place with geographical width φ. During solving, omit addiction gravitational acceleration to the distance. (consider a homogeneous gravity field) and variables which are including angular speed ω consider for much less then variables including gt. Consider h=100m and
φ=0 degree.
The result should be y(t)=(gωt^3cosφ)/3. Bud I am not sure, how to get it. I am sure I have to use Coriolisi´s force.
I tried to use formulas for free fall
v=v0+gt
y=y0+v0t+1/2gt^2
And use Coriolis force Fc=-2mωvsinφ
And acceleration ac=-2ωv
I tried also create a differential equation as a
m (dv/dx)(dx/dt)=-2mωvsinφ, where dx/dt=v
But no matter what, I still couldn´t get to my result.
Thank you for your help.