Finding the Max Force from the Piston
Important measurements:
Using calipers, we measured
0.755in from retracted piston to outside hole
.30in of thread
.455in height inside of Piston where bp explodes
From McMaster, the pistons have stated forces from certain Pressures. We used that to find the internal radius/diameter of the piston
from F/A=P → 90/A=100 A=0.9 D=1.07
Using these numbers, we then calculated the volume of the internal piston: Volume=0.409
This could be better optimized by instead filling the inside of piston with water and measuring the water mass.
Black Powder Capsule
Radius 0.185in
Height: 0.489in
Volume=.052
Black Powder(BP) Calc Link: https://www.insanerocketry.com/blackpowder.html
Calculation in above link:
We are using four 6-32 shear pins which have an estimated force of 240lb. To have a 2x safety factor, we want enough black powder to break more than 480lbs of force.
D of bp area=1.07in
L of bp tube=0.51in
This number was made by keeping the radius/diameter of the piston that the force will be applied to the same while adding more height to account for extra volume added from the black powder capsule.
Testing different black powder amounts, we found that 0.15g generates a calculated Piston Force of 570lbs = 2535.49 N