Biomedical Engineering Reference
In-Depth Information
Reproduced with permission. Copyright retained by Inderscience Publishers.
Figure 20. Impact of Ball into Aluminium Target.
Mathematical Analysis
The gun is made from a piece of 1 -1/2‖ schedule 40 PVC tubing and is 10
feet in length. The inner diameter of the tube is slightly larger than the 40mm
outside diameter of a ball. The tube is fitted with endplates and sealed using 3‖
wide tape. The endplates support the tube and provide a good surface for the
tape as shown in Figure 21.
Reproduced with permission. Copyright retained by Inderscience Publishers.
Figure 21. Muzzle and Aluminium Targets.
A first-order analysis by Ayars and Buchholtz (2004) suggests that the
maximum muzzle velocity is less than the speed of sound and that the gun
approaches this value asymptotically with increasing barrel length. Initial
acceleration, a
o
, of the ball is defined as,
F
P
A
(1)
a
o
o
m
m
