- A Cart Vcart This Project Requires You To Design A Fluid Propulsion Device A Tank With A Fluid Jet To Move An Initia 1 (159.74 KiB) Viewed 71 times
- A cart Vcart This project requires you to design a fluid propulsion device (A tank with a fluid jet) to move an initially stationary cart 3m in the fastest possible time. Your design must fit within a space of 2m x 2m x 2m above the base of the cart. The rolling resistence of the cart wheels is Frr = Cyw, where the coefficient of rolling resistence is Cyr = 0.3 and the weight of the system is W = Wcart + Wfluid. The empty mass of the cart is mcart = 100Kg. Apl hi y V. L. = Frr х Assume: a pump at the outlet ensures a constant outlet velocity v, = 2g(h; -ho) 1. Rederive the following expression for the velocity of the cart: mcart + mfluid v(t) = v. In - Crrgt, for v(t) > 0 (meart + mfluid - min(pA, vot, mfluid)) v(t) = /2g(hi - ho) In mcart + pAcarthi Cyrgt \mcart + pAcarthi - min(pAv2g(hi - h.)t, pAcarthi) where = - v(t): velocity of the cart v. = /2g(hi - h.): velocity at the outlet t: time g: acceleration due to gravity hi, he: initial height of fluid in the tank and height of the outlet centerline mcart: mass of the cart mfluid = pAcarthi: initial mass of the fluid p: density of the fluid Acart, An: planform area of the cart and area of the outlet Cor: coefficient of rolling resistance 2. Consider a tank that occupies the full 2m x 2m x 2m space and is filled to the top with water. If a circular outlet port is placed at the bottom of the tank with a cross-sectional area of 1m², determine the time required to travel 3m. When the cart velocity is non-zero, the distance travelled is modelled by the following equation: (meart + mfluid - pA,v,t) mcart + mfluid X(t) = In pA, (meart + mfluid - min(pA,v.t. mfluid) min(pA,v.t, mfluid) Corgt? pa. 2 3. Investigate how the density of the fluid affects the time required. 4. Investigate how the shape and the area of the outlet port affect the time required.