Question

A 6-meter-long trough with a right triangular cross section as shown is partially filled with a...

A 6-meter-long trough with a right triangular cross section as shown is partially filled with a fluid of weight density 9000 newtons per cubic meter. If the level of the fluid is 1 meter below the top of the rim of the trough, find the work done in pumping all the fluid out of the tank.

Science   Advanced-Physics   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

In this question we apply the formula for work that is force multiplied distance. Now , we need to understand that force is nothing but the weight of the fluid that will vary by the distance or height of the trough. Hence we use the integration to find the answer.

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 trough is 2 feet long and 1 foot high. The vertical cross-section of the trough...
A trough is 2 feet long and 1 foot high. The vertical cross-section of the trough parallel to an end is shaped like the graph of y=x4 from x=−1 to x=1. The trough is full of water. Find the amount of work in foot-pounds required to empty the trough by pumping the water over the top. Note: In this problem, use 62 pounds per cubic foot as the weight of water. A trough is 3 feet long and 1 foot...
(1 point) A trough is 6 feet long and 1 foot high. The vertical cross-section of...
(1 point) A trough is 6 feet long and 1 foot high. The vertical cross-section of the trough parallel to an end is shaped like the graph of ?=?6y=x6 from ?=−1x=−1 to ?=1x=1 . The trough is full of water. Find the amount of work in foot-pounds required to empty the trough by pumping the water over the top. Note: The weight of water is 6262 pounds per cubic foot.
A trough is 4 feet long and 11 foot high. The vertical cross-section of the trough...
A trough is 4 feet long and 11 foot high. The vertical cross-section of the trough parallel to an end is shaped like the graph of y=x^8 from x=−1 to x=1. The trough is full of water. Find the amount of work required to empty the trough by pumping the water over the top. Note: The weight of water is 62 pounds per cubic foot. Your answer must include the correct units.
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.)
A water trough is 6 m long and has a cross-section in the shape of an...
A water trough is 6 m long and has a cross-section in the shape of an isosceles trapezoid that is 20 cm wide at the bottom, 80 cm wide at the top, and has height 60 cm. If the trough is being filled with water at the rate of 0.2 m3/min how fast is the water level rising when the water is 20 cm deep? __________m/min
A trough is 9 meters long, 2 meters wide, and 3 meters deep. The vertical cross-section...
A trough is 9 meters long, 2 meters wide, and 3 meters deep. The vertical cross-section of the trough parallel to an end is shaped like an isoceles triangle (with height 3 meters, and base, on top, of length 2 meters). The trough is full of water (density 1000 kg m 3 1000 kg m 3 ). Find the amount of work in joules required to empty the trough by pumping the water over the top. (Note: Use g =...
A water trough is 10 m long and has a cross-section in the shape of an...
A water trough is 10 m long and has a cross-section in the shape of an isosceles trapezoid that is 40 cm wide at the bottom, 100 cm wide at the top, and has height 60 cm. If the trough is being filled with water at the rate of 0.2 m3/min how fast is the water level rising when the water is 30 cm deep?
A tank of water is 15 feet long and has a cross section in the shape...
A tank of water is 15 feet long and has a cross section in the shape of an equilateral triangle with sides 2 feet long (point of the triangle points directly down). The tank is filled with water to a depth of 9 inches. Determine the amount of work needed to pump all of the water to the top of the tank. Assume that the density of water is 62 lb/ft3.
A water trough is 9 feet long, and its cross section is an equilateral triangle with...
A water trough is 9 feet long, and its cross section is an equilateral triangle with sides 4 feet long. Water is pumped into the trough at a rate of 2 cubic feet per second. How fast is the water level rising when the depth of the water is 1/2 foot? ( Hint: First, what is the height h of an equilateral triangle of side length s? Next, what is the area of an equilateral triangle in terms of the...
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?
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT