Question

A Gas powered cannon shoots a projectile by introducing nitrogen gas at 20.5MPa into a cylinder have a inside diameter od 50mm ..compute the force exerted on the projectile

Answer 1

Answer:

40251.7 N

Explanation:

Given stress of 20.5 MPa and diameter of 50 mm

First, convert all the units into common units hence stress will be $20.5\times 10^{6}\ N/m^{2}$ while diameter will be 0.05 m

Stress is given by dividing force by area and force is unknown hence Force is the product of area and stress.

The area will be given by

$A=\frac {\pi d^{2}}{4}$ and substituting d for 0.05 m then the area will be

$\frac {\pi d^{2}}{4}=0.001963495\ m^{2}$

Therefore, force will be $20.5\times 10^{6}\times 0.001963495=40251.65587 N\approx 40251.7 N$