Question

Show how to approximate the required work by a Reimann sum. Then express the work as...

Show how to approximate the required work by a Reimann sum. Then express the work as an integral and evaluate it.

An aquarium 3 m long, 2 m wide, and 4 m deep is full of water. Find the work needed to pump a fourth of the water out of the aquarium. (Use the fact that the density of water is 1000kg/m3)

Math   Advanced-Math   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A trapezoidal trough 6 meters long, 4 meters wide on top, 3 meters wide at the...
A trapezoidal trough 6 meters long, 4 meters wide on top, 3 meters wide at the bottom and 2 meters deep is filled with water. Find the work needed to pump all the water out of the tank as well as the force against the wall of the container. Use kg/m3 as the density of water?
A tank is full of water. Find the work required to pump the water out of...
A tank is full of water. Find the work required to pump the water out of the spout. Use the fact that water weighs 62.5 lb/ft3. (Assume a = 6 ft, b = 9 ft, and c = 10 ft.)
A trough is 10 meters long, 3 meters wide, and 4 meters deep. The vertical cross-section...
A trough is 10 meters long, 3 meters wide, and 4 meters deep. The vertical cross-section of the trough parallel to an end is shaped like an isosceles triangle (with height 4 meters, and base, on top, of length 3 meters). The trough is full of water (density 1000kg/m^3). Find the amount of work in joules required to empty the trough by pumping the water over the top. (Note: Use g=9.8ms^2 as the acceleration due to gravity.)
please answer A water tank has the shape obtained by rotating the curve y = x...
please answer A water tank has the shape obtained by rotating the curve y = x 2 , 0 ≤ x ≤ 2 about the y−axis (x and y are measured in meters). It is full of water. Find the work required to pump all of the water out of the tank. (The density of water is ρ=1000kg/m.)
(Integration Application) A water tank is shaped like an inverted cone with a height 2 meters...
(Integration Application) A water tank is shaped like an inverted cone with a height 2 meters and top radius 6 meters is full of water. Set up a Riemann Sum and an Integral to model the work that is required to pump the water to the level of the top of the tank? No need to integrate here. (Note that density of water is 1000 kg/m3 ). RIEMANN SUM ______________________________________________ INTEGRAL____________________________________________________ Provide an explanation as to the difference of the...
A cable that weighs 8 lb/ft is used to lift 550 lb of coal up a...
A cable that weighs 8 lb/ft is used to lift 550 lb of coal up a mine shaft 450 ft deep. Find the work done. Show how to approximate the required work by a Riemann sum. (Let x be the distance in feet below the top of the shaft. Enter xi* as xi.) lim n→∞ n     Δx i = 1 Express the work as an integral. dx Evaluate the integral. ft-lb
Consider the following container. It is a cut cone with a top radius of 7 ft...
Consider the following container. It is a cut cone with a top radius of 7 ft and a bottom radius of 3 ft. It has a height of 12 ft and water (density 62.5 lb/ft^3) is currently in the container to a depth of 5 ft. There is a spout on this container at the top. Write down but DO NOT EVALUATE an integral to find the work necessary to pump all the water in this container up out of...
Consider a hemispherical tank with a radius of 3 meters that is resting upright on its...
Consider a hemispherical tank with a radius of 3 meters that is resting upright on its curved side. Using 9.8 m/s^2 for the acceleration due to gravity and 1,000 kg/m^3 as the density of water, Set up the integral for the work required to pump the water out of the tank if: (a) the tank is full of water and it is being pumped out of a 1-meter long vertical spout at the top of the tank. (b) the tank...
A lobster tank in a restaurant is 1.25m long by 1m wide by 60cm deep. Taking...
A lobster tank in a restaurant is 1.25m long by 1m wide by 60cm deep. Taking the density of water to be 1000kg/m^3, find the water forces on the sides of the tank. a) Force on the bottom of the tank is newtons    b)Force on each of the larger sides of the tank is newtons c) Force on each of the smaller sides of the tank is newtons (use ?=9.8 m/s^2)
a trough 9 m long, 2 m wide, 1m deep. vertical crosssection of the parallele to...
a trough 9 m long, 2 m wide, 1m deep. vertical crosssection of the parallele to end is shaped like an isoceles triangle( height 1m, base and top, of lenght 2m) the trough denity 1000kg/m^3. Find work in joules require to empty out the trough by pumping the water over the top. g=9.8
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT