b) For the pressure system, V, = 0.05 litres, po = 1.5bar and L = 0.8m. The projectilesused have the same cross-sectional area A = 20cm?, and a mass of m = 90g with avariation of +10%. What is the maximum and minimum exit velocity that is possibleduring operation when the angle of the barrel to the horizontal is 0 = 0°?c) The angle of the barrel to the horizontal is 0 = 45°. The location at which the projectileleaves the barrel is defined as x = 0 & y = 0, as shown in Figure 2.1. Find the values ofy when the projectile hits a vertical wall at x = 0.8m with the minimum and maximumexit velocities obtained in part b. Drag can be neglected.d) Suggest ways in which a machine could be designed and controlled in order to improveaccuracy in hitting a target, taking into consideration possible variations in the mass anddiameter of the projectiles. Question 2The compressed gas canon illustrated in Figure 2.1 is used to launch a projectile at a fixedtarget on a wall. It can be assumed that the expansion is adiabatic, that there is nopressure drop between reservoir and barrel, and that there is no leakage of gas around theprojectile.BarrelReservoir- VoFigure 2.1a) By considering conservation of energy, and clearly explaining all steps, derive thefollowing equation for the exit velocity of the projectile as a function of projectile area(A), barrel length (L), projectile mass (m) reservoir volume (Vo) and initial gas pressure(po).2 PoVoUexit =Vo1 -AL + VoL(Apatm + mg sin 0)my -1

Answered: Image /qna-images/answer/b7ea3d51-8b68-4638-9d1d-e0813cc62c8c.jpg

The compressed gas canon illustrated in Figure 2.1 is used to launch a projectile at a fixed target on a wall. It can be assumed that the expansion is adiabatic, that there is no pressure drop between reservoir and barrel, and that there is no leakage of gas around the projectile. y Barrel Reservoir Vo Figure 2.1 a) By considering conservation of energy, and clearly explaining all steps, derive the following equation for the exit velocity of the projectile as a function of projectile area (A), barrel length (L), projectile mass (m) reservoir volume (Vo) and initial gas pressure (Po). 2 PoVo E (1-GAv)")- L(APatm + mg sin e) Vo AL + Vo Uexit = my -

The compressed gas canon illustrated in Figure 2.1 is used to launch a projectile at a fixed target on a wall. It can be assumed that the expansion is adiabatic, that there is no pressure drop between reservoir and barrel, and that there is no leakage of gas around the projectile. y Barrel Reservoir Vo Figure 2.1 a) By considering conservation of energy, and clearly explaining all steps, derive the following equation for the exit velocity of the projectile as a function of projectile area (A), barrel length (L), projectile mass (m) reservoir volume (Vo) and initial gas pressure (Po). 2 PoVo E (1-GAv)")- L(APatm + mg sin e) Vo AL + Vo Uexit = my -

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter9: Dynamics Of A System Of Particles

Section: Chapter Questions

Problem 9.56P

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