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:

Stress is given as Force per unit Area and expressed as $\sigma=\frac {F}{A}$ where F is the force exerted and A is the area on which the force acts. Making F the subject of the formula then $F=\sigma A$

Area, $A=\pi r^{2}$ where r is radius which is equivalent to half the diameter. In this case, the diameter is given as 50 mm hence radius will be 25 mm and converted to meters it is 0.025 m

Substituting 20.5 MPa which is $20.5\times 10^{6} \ N/m^{2}$ for $\sigma$ then the force will be $F=\sigma A= 20.5\times 10^{6} \ N/m^{2}\times \pi 0.025^{2}=40251.65587 N\approx 40251.7 N$