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Hydrostatic Force & Work problems

Work Done Stretching a Spring example question

A force of 5 pounds stretches a springĀ  Ā  foot beyond its natural length. Find the work done stretching the spring 8 inches beyond its natural length.

 

Solution to this Calculus Work practiceĀ problem is given in the video below!



Work Done Pulling Weighty Cable/Rope example problem

We are given a fully extended cable of 150 weighing 2.00 pounds per foot. How much work is done after winding 50 feet of cable?

 

Solution to this Calculus Work practiceĀ problem is given in the video below!



Work Done Pulling Object by Weighty Cable example

Find the work done winding 10 feet of a 25-foot cable that weighs 4 pounds per foot when there is a 50 lb mass that hangs on the end.

 

Solution to this Calculus Work practiceĀ problem is given in the video below!



Work Done Pumping Liquid from a Rectangular Tank example question

A rectangular tank with a base 4 feet by 5 feet and a height of 4 feet is full of water. The water weighs 62.4 pounds per cubic foot.
a) How much work is done pumping all water out from the top of this tank?
b) How much work is done pumping only HALF of the water out from the top of this tank?

 

Solution to this Calculus Work practiceĀ problem is given in the video below!



Work Done Pumping Liquid from a Triangular Tank example problem

The vat shown below contains water to a depth of 2 meters. Find the work required to pump all the water to the top of the vat. (Assume the weight density of water is 9,810 Newtons per cubic meter).

 

 

 

 

 

 

Solution to this Calculus Work practiceĀ problem is given in the video below!



Work Done Pumping Liquid from a Conical Tank example

Find the work done by pumping out molasses from a conical tank filled to 2 ft from the top of the tank. The tank has a maximum radius of 3 ft and a height of 10 ft. Molasses weighs 100 pounds per cubic foot.

 

Solution to this Calculus Work practiceĀ problem is given in the video below!



Work Done Pumping Liquid from a Cylindrical Tank example question

A cylindrical reservoir of diameter 4 ft and height 6 ft is half-full of water weighing 10 pounds per cubic foot. Find the work done in emptying the water over the top.

 

Solution to this Calculus Work practiceĀ problem is given in the video below!



Work Done Filling Spherical Tank with Water example problem

A water tower is spherical in shape with radius 50 feet, extending from 200 feet to 300 feet above ground. Compute the work done in filling the tank from the ground.

 

Solution to this Calculus Work practiceĀ problem is given in the video below!



Hydrostatic Force on a Dam example

A dam has the shape of a trapezoid with height 80 feet. The width at the top of the dam is 60 feet and the width at the bottom of the dam is 140 feet. Find the maximum hydrostatic force that the dam will need to withstand.

 

Solution to this Calculus Hydrostatic Force practiceĀ problem is given in the video below!



Hydrostatic Force on a Circular Window example question

An underwater viewing window is installed at an aquarium. The window is circular with radius 5 feet. The center of the window is 40 feet below the surface of the water. Find the hydrostatic force on the window.

 

Solution to this Calculus Hydrostatic Force practiceĀ problem is given in the video below!



Hydrostatic Force & Work problems (complete Playlist)

Explore lots of Hydrostatic Force & Work examples and practiceĀ problems for your Calculus course.

Definite Integrals and Antiderivatives will be used to solve application problems found in Physics and Engineering.

Work examples include Pumping Liquids, Pulling a Spring, Pulling Objects with Cable or Rope, and more.


Calculus problems (complete Playlist)

Find a variety of Calculus examples and practiceĀ problems to help you improve in Calculus 1, Calculus 2, Calculus 3, and more courses.

Topics include limits, continuity, differentiation, integration, parametric equations, polar coordinates, sequences and series, application problems, and more!





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