[Help Me!] Linear motion equations with drag resistance
I've been taught about the normal linear motion equations now i've been set this task
- Identify the phenomenon that causes objects to hit the ground at different times [Completed]
- Determine the value of engineering coefficients
- If possible attempt to develop a mathematical model that takes both gravity and this phenomenon into account to accurately predict the fall time for different spherical objects.
Fall height of object(s): 6M
Shape of object(s): Sphere
What I've done
For part 1: I deduced the phenomenon is air resistance/drag.
For part 2: Researched about drag and found out that
Where F_d: Force of drag, p=density of fluid(1.1877 @298K/25C),
v=speed of object
a=reference areaπ(piD^2/4 for a sphere),
C_d=drag coefficient(0.47 for a smooth sphere),
v^=is the unit vector indicating the direction of the velocity (the negative sign indicating the drag is opposite to that of velocity).
For part 3
Not sure for this but was thinking of using v=u+at rearranging for time, draw force diagram calculate the modulus of the force then put in values