Finding Lift Force - Glider Wing

[aaronmorg]

I am working on my semester project and have come across a hitch. I am trying to find the Lift Force of my wing using the following equation

F_L=C_L P A (v²/2)

Where:
F_L is Lift Force
C_L is Coefficient of Lift (I think)
P is the density of the fluid (Air)
A is the Area
V is Velocity

The only portion I cannot find is Velocity. I cannot, for the life of me, figured out Velocity when given force and mass.

I have a 3.33 lbf and a 27.999g aircraft.

Can someone please help me.

Equation so far:
F_L=(.76764)(.076)(56.55)(V²/2)

 

[aaronmorg]

I found the equation for Horizontal Velocity. Here it is for anyone else who might be stuck in the same place.

V_H=[tex]\sqrt{\frac{2E}{m}}[/tex]

E is energy
m is mass

In my case Energy was elasticity since my glider was flung from a rubber band. So I had to find ft-lbf, then use different conversion factors to get to a suitable velocity unit.

My work:

V_H=[tex]\sqrt{\left[\frac{2(4.1625)ft-lbf}{27.999g}\right]\left[\frac{453.6g}{1 lbm}\right]\left[32.2\frac{lbm-ft}{lbf-s}\right]}[/tex]

Leaving me with Velocity in Ft/s

V_H= 65.899 ft/s

Additional Information:

I was given a chart, from whence I figured that 15 in displacement gave 3.33 lbf, and converted to ft-lbf, giving me my E.

 

[Mene]

Hello,

It seems like you are on the right track with your equation. The velocity (V) in this equation represents the airspeed at which the wing is moving. To find the velocity, you will need to use the equation for Newton's Second Law, which states that force (F) is equal to mass (m) times acceleration (a). In this case, the force is the Lift Force (FL) and the mass is the weight of the aircraft (27.999g converted to kg). Therefore, the equation would be:

FL = m x a

Rearranging the equation, we get:

a = FL/m

Since acceleration is the change in velocity over time, we can use this equation to find the velocity:

V = a x t

We can assume that the time it takes for the aircraft to reach a certain speed is very small, so we can use a value of 1 second for t. Therefore, the final equation for finding the velocity would be:

V = FL/(m x t)

Plugging in the values from your problem, we get:

V = 3.33 lbf / (0.027999 kg x 1 s) = 119.01 m/s

I hope this helps you with your project. Best of luck!