10. Challenge Problem: Suppose that the height of water in a tank is given by P()-500+100cos(t)-150sin () where t is in hours. During the first 10 hours after a valve is opened, when is the amoun...
Draining a tank A cylindrical water tank has a valve at the bottom. When the valve is opened, the water drains out, and rate at which the water flows out is proportional to the fill level because the pressure in the tank is proportional to the mass of water in the tank. Therefore the decrease of mass in the tank is given by , where m is the mass of water in the tank and α is a constant. (a)...
A valve on a storage tank is opened for 4 hours to release a chernical in a manufacturing process. The flow rate R (in liters per hours) at a time t (in hours) is given in the table. t0 1 2 3 4 RI 426 242|117|72 36 (a) Use the linear regression capabilities of a graphing utility to find a linear model for the points (t, In(R)). Write the resulting equation of the form In(R)a coetficients to four decimal places.)...
12. During the first 30seconds of its flight, a test rocket's height in metres above its launching point is given by h(t) = 452 – where t is the elapsed time in seconds. (a) Find an equation for the velocity of the rocket and use this to find how long it will take to reach 600m/s. (b) What height will the rocket be at this time? 13. Draw the graphs of the functions in question 12 in the same coordinate...
Tank 1: Tank 2: Water h(t) h(t) Q1 (70 pts). Suppose experiments have been performed to determine the exit velocity (u) as a function of water height (h) for two different tanks. In Tank I, a smooth rounded nozzle with a diameter of a 2 cm is used whereas a square gate opening with a 2 cm side is utilized in Tank 2. The measured flow rates at different tank heights are given further below; the initial height for both...
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problem 1c i need correct p v and T v digram thank you
1. Answer to the following: a. Describe the zeroth law of thermodynamics. b. Describe several types of phase transition. c. Draw the P-v and T-v diagrams of phase transition process from water vapor and label the all the significant lines and points. enoth loo.I two System arce キイ、 Supertha voupo Tew 2. A tank containing 30 kg of air at 20 C and 700 kPa is...
.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...
1) Given a tank initially contains 200 gallons of brine (salt mixed with water) in which 150 lbs of salt is dissolved. A salt solution consisting of 0.5×(1 + e^(-0.02t)) lb. of salt per gallon (where t is time in unit of minute) is flowing into the tank at a rate of 10 gal./min and the mixed solution is drained from tank at the same rate. Find the amount of the salt in the tank after 1 hour. (10 points)...
3. The depth of the water (in meters) at a certain pier is given by the equation: d)2+ sint, where t is the number of hours after 10:00 AM. 2 a) How deep will the water be at high tide, and at low tide? b) Mid-tide occurs when the height of the water is exactly midway between the high and low tides. Counting time after 10:00 AM, what are the first two times when it is mid-tide? c) How many...
rs when first planted in a garden are approximately 10 cm in height. After one day the sunflowers grow to approximately 11cm. The sunflowers will eventually grow to an approximate height of 250 cm. The sunflowers growth can be represented by a logistic model h(t) 1 +Ae-Kt where h represent in height of the sunflowers, in centimetres, andt represent the number of davs sin ce sunflowers were planted. (a) Determine the function for sunflower growth, that is, find the values...
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...