- #1
Biker
- 416
- 52
I was just scrambling and thought of rockets. So I came up with an equation for (hovering).
Note: This might be totally wrong.
Okay so we have a rocket with fuel with a mass of M. There is gravity acting on it so I need a force to balance things out.
F - Mg = 0
F = Mg
What I have learned is every force come in pairs
So F = -Fthrust.
and F thrust = mair * a
so -(m(air)*a) = (m-mair)*g
^^ Because the rocket loses mass over time.
Lets call the rate of mass ejected R
-(R * t * a) = (M-R*t)*g
a = dv/t
a = (-Ve - v)/t ( Ve( velocity of thrust) is down and v(velocity of the rocket) is upward, I assumed up is positive and down is negative)
As it is hovering then the v of the rocket is equal to 0.
so a = -Ve/t
Now substitute that in.
-(R * t *-Ve/t) = (M-R*t)*g
R * Ve = (M-R*t)*g
Hmm I hope this is right :/
Note: This might be totally wrong.
Okay so we have a rocket with fuel with a mass of M. There is gravity acting on it so I need a force to balance things out.
F - Mg = 0
F = Mg
What I have learned is every force come in pairs
So F = -Fthrust.
and F thrust = mair * a
so -(m(air)*a) = (m-mair)*g
^^ Because the rocket loses mass over time.
Lets call the rate of mass ejected R
-(R * t * a) = (M-R*t)*g
a = dv/t
a = (-Ve - v)/t ( Ve( velocity of thrust) is down and v(velocity of the rocket) is upward, I assumed up is positive and down is negative)
As it is hovering then the v of the rocket is equal to 0.
so a = -Ve/t
Now substitute that in.
-(R * t *-Ve/t) = (M-R*t)*g
R * Ve = (M-R*t)*g
Hmm I hope this is right :/