Question

A storage tank, open at the top, has a diameter 2.3 m and a height 1.8...

A storage tank, open at the top, has a diameter 2.3 m and a height 1.8 m . During a storm, the tank catches rain at the rate of 16.9 cm3/s. Simultaneously, water leaks out from the bottom of the tank through a hole that has a cross-sectional area A = 0.051 cm2.

During a long rain storm, what is the maximum depth of water in the tank?

Give your answer in units of m.

PLEASE SHOW ALL STEPS

Homework Answers

Answer #1

The hole w.r.t it's dimensions will be no more than a minor leak.

Therefore the outflow will be equal to inflow when water depth becomes high enough.

maximum depth of water will be 0.56m

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A large water storage tank is open at the top and the side walls are vertical....
A large water storage tank is open at the top and the side walls are vertical. The water in the tank has depth H. A small hole appears in one of the tanks at a height h above the base. (a) At what distance R from the foot of the wall does the emerging stream strikes the horizontal ground. (b) At what height h above the base is the hole if the water reaches its greatest distance from the base...
A cylindrical tank with a large diameter is filled with water to a depth D =...
A cylindrical tank with a large diameter is filled with water to a depth D = 0.405 m. A hole of cross-sectional area A = 5.62 cm^2 in the bottom of the tank allows water to drain out. (a) What is the rate at which water flows out, in cubic meters per second? (b) At what distance below the bottom of the tank is the cross-sectional area of the stream equal to one-half the area of the hole?
A large storage tank, open to the atmosphere at the top and filled with water, develops...
A large storage tank, open to the atmosphere at the top and filled with water, develops a small hole in its side at a point 14.0 m below the water level. If the rate of flow from the leak is 2.20 ✕ 10−3 m3/min, determine the following. (a) Determine the speed at which the water leaves the hole. m/s (b) Determine the diameter of the hole. mm
A cylindrical bucket, open at the top, is 24.0 cm high and 13.0 cm in diameter....
A cylindrical bucket, open at the top, is 24.0 cm high and 13.0 cm in diameter. A circular hole with a cross-sectional area 1.50 cm2 is cut in the center of the bottom of the bucket. Water flows into the bucket from a tube above it at the rate of 2.40×10−4 m3/s . How high will the water in the bucket rise?
A large storage tank, open at the top and filled with water, develops a small hole...
A large storage tank, open at the top and filled with water, develops a small hole in its side at a point 16.8 m below the water level. The rate of flow from the leak is found to be 3.00 10-3 m3/min. (a) Determine the speed at which the water leaves the hole. 22.22 Incorrect: Your answer is incorrect. The water speed at the top of the tank can be assumed to be zero since the flow rate from the...
An opaque cylindrical tank with an open top has a diameter of 4.00 m and is...
An opaque cylindrical tank with an open top has a diameter of 4.00 m and is completely filled with water. When the afternoon Sun reaches an angle of 26.5° above the horizon, sunlight ceases to illuminate any part of the bottom of the tank. How deep is the tank?
A closed and elevated vertical cylindrical tank with diameter 2.20 m contains water to a depth...
A closed and elevated vertical cylindrical tank with diameter 2.20 m contains water to a depth of 0.900 m . A worker accidently pokes a circular hole with diameter 0.0180 m in the bottom of the tank. As the water drains from the tank, compressed air above the water in the tank maintains a gauge pressure of 5.00×103Pa at the surface of the water. Ignore any effects of viscosity. Part A Just after the hole is made, what is the...
A large water tank, open at the top, has a small hole in the bottom. When...
A large water tank, open at the top, has a small hole in the bottom. When the water level is 5 m above the bottom of the tank, the speed of the water leaking from the hole: (Use ! = 10 N/kg.) [Hint: Use Bernoulli
A 4 m-wide tank with height of 1.8 m filled with water is pulled with a...
A 4 m-wide tank with height of 1.8 m filled with water is pulled with a cable inclined at 30o to the horizontal. The constant acceleration value in the cable direction is 4 m/s². The water depth is measured as 1.5 m before the motion starts.  Determine the angle between the water surface and the horizontal.  Compute the maximum and minimum pressure values on the bottom of the tank.  How many volume of water are spilled?
A 4 m-wide tank with height of 1.8 m filled with water is pulled with a...
A 4 m-wide tank with height of 1.8 m filled with water is pulled with a cable inclined at 30o to the horizontal. The constant acceleration value in the cable direction is 4 m/s². The water depth is measured as 1.5 m before the motion starts.  Determine the angle between the water surface and the horizontal.  Compute the maximum and minimum pressure values on the bottom of the tank.  How many volume of water are spilled?
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT