Question

6. Practice with units: a. An aquarium has a capacity (volume) of 200 gallons. The aquarium owner has a hose for emptying the tank that has a cross section area of 2 inch. If the owner moves water through the hose at a velocity of 1.5 ft/s, how long will it take to drain the aquarium in minutes? Show all work for full credit. b. Determine the unit of y that makes the piezometric head (H) expression consistent in base SI units. Show all steps. H=2+ Where: H [Meters, m] Z [Meters, m) P [Kilograms/(meter x second), kg/(m x 5)] C. Determine the units of n that makes the equation have consistent units in base SI units. F=-2ml Where: F (Newtons, N) r [Meters, m] L [Meters, m] V [Meters/Second, m/s] R [Meters, m] 1 [unitless) d. Determine the units of u that lead to consistent units in the Sl system. t = uriw ro-ri Where T = [Mass/(Length-Time?), kg/(m.s?)] n = [Length, m) 0 = [Time !, s'] To = [Length, m]

Answer 1

. Ca) We know HRat /2 inch /-5 ft 2x /- inch 18 inck 1 Again know, we 4min - 60 Sec. minutes 1 sec. velodity of Sence, te wates is maving wih a Fha eoss gection area of he 18 inck/s and inch RonRe ffow rali cf 2x18 inch3/sec hose s 2 uater rough he hoe is 36 inch/s Again 23 inc inch3 1 gallon galon 231X 200 O4200

36 imc water is moving in 1 sec N mindes meiutey x20023 60X36 minutas 21 18 Hem ce Re aquasium uil be drained in minutes 18 ff any physin! uA) Lat us denta unit quontity A ao u(H)= Here u(P) = / uH)m ond u (z) Herafore,uz) = m\also Simce и (н-2) -. u(y) kg/mxs m к9 m. ms m 9/ of

yiven That u(F) L) uv)m/s u(R) Theruene, trom Re eprearion we have ulr)x nulL) xulw) x u(q) u(R) u(F) m/s x N N m XS 2 Nx m2 eruore, e unit Nxs 2 m

given at ulr)=/mxs) ulri) ul) Ш8) - Rave kerhore, trem e e»pressin we ur=u)x uri)x ulw) uln) and u) m ии): kg mxs2 mxs )xs mxs2 ulu)= mxs2 u) kg ON 1/(m)