All in a Good Day

1
All in a GoodDays Work

• Calculus Honors Project
• by
• Brandon Sasser and Terra Pumphrey

2
What is work?

• Definition of Work Done by a Constant Force
• If an object is moved a distance D in the
  direction of an applied force F, then the work W
  done by the force is defined as
• W F x D.

3
Example

• Lifting an Object
• Suppose an athlete wanted to lift a 250 lb
  barbell
• 3 ft off the ground.
• W 250 lb(3 ft)
• 750 ft-lbs

4
Work Done by a Variable Force

• If an object is moved along a straight line by a
  continuously varying force F(x), then the work W
  done by the force as the object is moved from x
  a to x b is represented by the following
  equations

5
Pumping Water

• A cylindrical water tank 4 meters high with a
  radius of 2 meters is buried so that the top of
  the tank is 1 meter below ground level. How much
  work is done in pumping a full tank of water up
  to ground level if the water weighs 9800 newtons
  per cubic meter?

6
(No Transcript)
7
Solution
8
(No Transcript)
9
Working for a Drink

• On a hot afternoon in Panama City Beach, Terra is
  trying to cool off by sipping a glass of palm
  wine. How much work does she have to do to empty
  the glass? Initially, the glass is filled to a
  vertical depth of 8 cm.

• The force due to gravity
  acting on 1 gram is 980 dynes, and in these
  units, work is measured in ergs.

10
Diagram 1
8 cm
11
Diagram 2

•  

12
Solution
13
(No Transcript)