i came across this bit of calculation on
http://www.wolterpyr....com/?page=rppf
Optimum pressing pressures for rockets using whistle type mixes:
Core burner type rockets: 6500 PSI
End burner type rockets: 8800 PSI
½" diameter .196 square inches of area
5⁄8" diameter .307 square inches of area
¾" diameter .441 square inches of area
7⁄8" diameter .600 square inches of area
1" diameter .785 square inches of area
1¼" diameter 1.226 square inches of area
1½" diameter 1.766 square inches of area
Example:
.441 square inches x 6500 PSI = 2866.
Divide this number by the square inch area of our cylinder:
2866 ÷ 2.405 = 1191 pounds actual gauge pressure to achieve 6500 pounds pressure on the propellant grain.
Example:
For a 1¾" diameter cylinder, the radius is 1¾ ÷ 2 or .875 inches.
.875 x .875 = .7656
.7656 x 3.1416 = 2.405 square inches.

dave