Suppose that a tank containing a certain liquid has an outlet near the bottom. Let h(t)...
Suppose a conical tank (think of an ice cream cone, point down) has a capacity of 7 gallons, and that 3 gallons of water are in it already. Water is added at a rate of 6 gallons per minute, but the cone springs a leak near its tip after 10 seconds. Water exits the tank at a rate determined by Torricelli's Law, v2gh (where v is the linear velocity of the water, g the acceleration due to gravity, and h...
Designing a Drip Dispenser for a Hydrology ExperimentIn order to make laboratory measurements of water filtration and saturation rates in various types of soils under the condition of steady rainfall, a hydrologist wishes to design drip dispensing containers in such a way that the water drips out at a nearly constant rate. The containers are supported above glass cylinders that contain the soil samples (Figure 2.P.1). The hydrologist elects to use the following differential equation, based on Torricelli's principle to...
I only want the answer for No 2
Note: The time it takes to get a two-liter
bottle empty is given in the picture
I only want the answer for No 2
Let h(t) and V(t) be the height and volume of water in a tank at time t. If water drains through a hole with area a at the bottom of the tank, then Torricelli's Law says that dV dt where g is the acceleration due to gravity. So...
(2) The work required to pump the fluid from a tank (between a units and b units above the bottom of a tank) of constant mass-density p out to a height h above the bottom of the tank is given by W- pg(cross-sectional area at y)(distance fluid at y needs to be lifted) dy where g is the acceleration due to gravity and y is the distance from bottom of the tank. Note: Water has a mass-density of p 10...
.Emergency Coolant Injection from an Accumulator Tank (8 marks) Consider an accumulator tank with a cross sectional area of A,-10m, and a height of H-6m, initially filled with 5m of water as shown in the figure. The top of the tank is closed and filled with air at an initial pressure of P, 1,101 kPa At time -Os, the water starts to discharge from an opening at the bottom of the tank with an opening area of A2 0.001m2. The...
L 2. Steady statemass balance: Water is flowing at steady state in a 0.1 meter-diameter pipe with a maximum velocity (turbulent profile) of 0.3 meters/sec. The pipe then goes through an expansion, to where it is then flowing in a 0.5 meter-diameter pipe, and the flow regime has changed from turbulent to laminar. In the second section of pipe, calculate the velocity as (a) block flow profile (Vavg), and (b) maximum velocity in laminar flow profile? HINT: you will need...