Water is drained from a hot tub that holds 1600 L of water. It takes 2...
Water is drained from a hot tub that holds 1600 L of water. It takes 2 h for the water to drain completely. The volume of water in the tub is modelled by ?(?) = 1 9 (120 − ?) 2 , where ? is the volume in litres at ? minutes and 0 ≤ ? ≤ 120.
(a) Find the average rate of change during the first 30 minutes. [3 pts]
(b) Determine the instantaneous rate of change after exactly 60 minutes.
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Water is drained from a hot tub that holds 1600 L of water. It
takes 2...
Applied UMB RS LDC) 1. A cylindrical hot tub is being filled by a hose that...
Applied UMB RS LDC) 1. A cylindrical hot tub is being filled by a hose that pours out water at a constant rate of 0.25m/min at 8:00 a.m. The volume of water in the pool was 8m and the radius of the hot tub is 2m. a) Determine the average rate of change with respect to its height between 9:00 a.m. and 10:00 a.m. b) Find the instantaneous rate of change at 10:00 a.m.
2 questions thank you If a cylindrical tank holds 1,000 gallons of water, which can be...
2 questions thank you
If a cylindrical tank holds 1,000 gallons of water, which can be drained from the bottom of the tank in an hour, then Torricelli's Law gives the volume of water remaining in the tank after t minutes as V(t) + 1,000 1 - biossa Find the rate at which the water is flowing out of the tank (the instantaneous rate of change of V with respect to 1) as a function of t. Find an equation...
A tank holds 65 gal of water, which drains from a leak at the bottom, causing...
A tank holds 65 gal of water, which drains from a leak at the bottom, causing the tank to empty in 20 min. The tank drains faster when it is nearly full because the pressure on the leak is greater. Taricelli's Law gives the volume of water remaining in the tank after t minutes as WI) - 65(1- Osts 20. (a) Find viu) and Vf20). VID) - gal (20) - (b) What do your answers to part (a) represent VO)...
When boiling water, a hot plate takes an average of 7 minutes (min) and 16 seconds...
When boiling water, a hot plate takes an average of 7 minutes (min) and 16 seconds [s] to boil 150 milliliters [ml] of water. Assume the temperature in the lab is 78 degrees Fahrenheit (°F). The hot plate is rated to provide 379 watts [W]. If we wish to boil 150 milliliters (ml) of acetone using this same hot plate, how long do we expect the process to take? Acetone has a boiling point of 56 degrees Celsius [°C]. [Hint:...
A tank holds 55 gal of water, which drains from a leak at the bottom, causing...
A tank holds 55 gal of water, which drains from a leak at the bottom, causing the tank to empty in 36 min. The tank drains faster when it is nearly full because the pressure on the leak is greater. Toricelli's Law gives the volume of water remaining in the tank after t minutes as V(t) = 55 = 55(1-6) osts 36. (a) Find V(0) and V(36). V(0) = 55 gal V(36) = X gal (b) What do your answers...
#2 Problem 1: (A) Hot water at a rate of 0.2 Liter/s passing through a gas...
#2
Problem 1: (A) Hot water at a rate of 0.2 Liter/s passing through a gas wall-mount heater placed upstream in the basement and heats the water from 5°C to a 60°C for a shower. Taking the density o water to be 1 kg/L, determine the total heat added in the heater. (25 points) -5℃ T イ1.60℃ water is in subcooled in the streami -ue.oon KJ/S is volume flow rate (m'/s) & is mass flow rate (kg/s) v2 for each...
Consider water being drained from a cylindrical container of diameter D through a hole in the...
Consider water being drained from a cylindrical container of
diameter D through a hole in the cap, of diameter
d, as shown below. Let A be a point on the surface of the
water and let B be a point right at the hole. The level of water is
h above the hole.
If the height of the water level is h = 24 cm, what is
the value of
vB2−vA2, in SI units?
If the diameters are d =...
2. (10 points) An aquarium has a 1000 L tank containing 400 L of salt water with a concentra- tio...
2. (10 points) An aquarium has a 1000 L tank containing 400 L of salt water with a concentra- tion of 210 grams per liter. A salt water solution with a concentration of 470 grams per liter is pumped into the tank at a rate of 5 liters per minute. The well-mixed solution is drained from the tank at a rate of 3 liters per minute. Additionally, the tank is uncovered, so fresh water evaporates from the tank at a...
Problem 3: A plane gate of uniform thickness holds back a depth of water as shown in the figure. The gate thickness is 2 m, the length L is equal to 3 m, and the angle 0 equals 30°. Determine a....
Problem 3: A plane gate of uniform thickness holds back a depth of water as shown in the figure. The gate thickness is 2 m, the length L is equal to 3 m, and the angle 0 equals 30°. Determine a. The average pressure on the gate. b. The hydrostatic force F applied to the gate and its components, vertical and horizontal c. Determine the volume of the "missing water" above the gate. What do you fincd interesting about this...
2. (10 pts) A municipality is designing an open storm drain channel in the form of an in verted t...
2. (10 pts) A municipality is designing an open storm drain channel in the form of an in verted trapezoid. It has a width of L at its base, is symmetric about the vertical, and its sides are at an angle θ to the horizontal (Fig. 2). Assuming the Manning formula, i.e grating for pedestrians where O-v3o./n is fired for this prob- lem (because material and slope are already known), determine Q as a function of Co, L, 0, and...
Applied UMB RS LDC) 1. A cylindrical hot tub is being filled by a hose that pours out water at a constant rate of 0.25m/min at 8:00 a.m. The volume of water in the pool was 8m and the radius of the hot tub is 2m. a) Determine the average rate of change with respect to its height between 9:00 a.m. and 10:00 a.m. b) Find the instantaneous rate of change at 10:00 a.m.
2 questions thank you
If a cylindrical tank holds 1,000 gallons of water, which can be drained from the bottom of the tank in an hour, then Torricelli's Law gives the volume of water remaining in the tank after t minutes as V(t) + 1,000 1 - biossa Find the rate at which the water is flowing out of the tank (the instantaneous rate of change of V with respect to 1) as a function of t. Find an equation...
A tank holds 65 gal of water, which drains from a leak at the bottom, causing the tank to empty in 20 min. The tank drains faster when it is nearly full because the pressure on the leak is greater. Taricelli's Law gives the volume of water remaining in the tank after t minutes as WI) - 65(1- Osts 20. (a) Find viu) and Vf20). VID) - gal (20) - (b) What do your answers to part (a) represent VO)...
When boiling water, a hot plate takes an average of 7 minutes (min) and 16 seconds [s] to boil 150 milliliters [ml] of water. Assume the temperature in the lab is 78 degrees Fahrenheit (°F). The hot plate is rated to provide 379 watts [W]. If we wish to boil 150 milliliters (ml) of acetone using this same hot plate, how long do we expect the process to take? Acetone has a boiling point of 56 degrees Celsius [°C]. [Hint:...
A tank holds 55 gal of water, which drains from a leak at the bottom, causing the tank to empty in 36 min. The tank drains faster when it is nearly full because the pressure on the leak is greater. Toricelli's Law gives the volume of water remaining in the tank after t minutes as V(t) = 55 = 55(1-6) osts 36. (a) Find V(0) and V(36). V(0) = 55 gal V(36) = X gal (b) What do your answers...
#2
Problem 1: (A) Hot water at a rate of 0.2 Liter/s passing through a gas wall-mount heater placed upstream in the basement and heats the water from 5°C to a 60°C for a shower. Taking the density o water to be 1 kg/L, determine the total heat added in the heater. (25 points) -5℃ T イ1.60℃ water is in subcooled in the streami -ue.oon KJ/S is volume flow rate (m'/s) & is mass flow rate (kg/s) v2 for each...
Consider water being drained from a cylindrical container of
diameter D through a hole in the cap, of diameter
d, as shown below. Let A be a point on the surface of the
water and let B be a point right at the hole. The level of water is
h above the hole.
If the height of the water level is h = 24 cm, what is
the value of
vB2−vA2, in SI units?
If the diameters are d =...
2. (10 points) An aquarium has a 1000 L tank containing 400 L of salt water with a concentra- tion of 210 grams per liter. A salt water solution with a concentration of 470 grams per liter is pumped into the tank at a rate of 5 liters per minute. The well-mixed solution is drained from the tank at a rate of 3 liters per minute. Additionally, the tank is uncovered, so fresh water evaporates from the tank at a...
Problem 3: A plane gate of uniform thickness holds back a depth of water as shown in the figure. The gate thickness is 2 m, the length L is equal to 3 m, and the angle 0 equals 30°. Determine a. The average pressure on the gate. b. The hydrostatic force F applied to the gate and its components, vertical and horizontal c. Determine the volume of the "missing water" above the gate. What do you fincd interesting about this...
2. (10 pts) A municipality is designing an open storm drain channel in the form of an in verted trapezoid. It has a width of L at its base, is symmetric about the vertical, and its sides are at an angle θ to the horizontal (Fig. 2). Assuming the Manning formula, i.e grating for pedestrians where O-v3o./n is fired for this prob- lem (because material and slope are already known), determine Q as a function of Co, L, 0, and...
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