Chap6_Sec4

# Chap6_Sec4 - 6 APPLICATIONS OF INTEGRATION APPLICATIONS APPLICATIONS OF INTEGRATION 6.4 Work In this section we will learn about Applying

This preview shows pages 1–11. Sign up to view the full content.

APPLICATIONS OF INTEGRATION APPLICATIONS OF INTEGRATION 6

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
6.4 Work APPLICATIONS OF INTEGRATION In this section, we will learn about: Applying integration to calculate the amount of work done in performing a certain physical task.
The term ‘work’ is used in everyday language to mean the total amount of effort required to perform a task. WORK

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
In physics, it has a technical meaning that depends on the idea of a ‘force.’ Intuitively, you can think of a force as describing a push or pull on an object. Some examples are: the horizontal push of a book across a table or the downward pull of the earth’s gravity on a ball. WORK
In general, if an object moves along a straight line with position function s ( t ), then: The force F on the object (in the same direction) is defined by Newton’s Second Law of Motion as the product of its mass m and its acceleration. 2 2 d s F m dt = Defn. 1 / Eqn. 1 FORCE

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
In the SI metric system, the mass is measured in kilograms (kg), the displacement in meters (m), the time in seconds (s), and the force in newtons (N = kg m/s 2 ). Thus, a force of 1 N acting on a mass of 1 kg produces an acceleration of 1 m/s 2 . FORCE
In the US Customary system, the fundamental unit is chosen to be the unit of force, which is the pound. FORCE

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
In the case of constant acceleration: The force F is also constant and the work done is defined to be the product of the force F and the distance that the object moves: W = Fd (work = force x distance) Defn. 2 / Eqn. 2 WORK
If F is measured in newtons and d in meters, then the unit for W is a newton-meter called joule (J). If F is measured in pounds and d in feet, then the unit for W is a foot-pound (ft-lb), which is about 1.36 J. WORK

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
book off the floor to put it on a desk that is 0.7 m high?
This is the end of the preview. Sign up to access the rest of the document.

## This note was uploaded on 01/06/2012 for the course MATH 2414.S01 taught by Professor Alans.grave during the Fall '11 term at Collins.

### Page1 / 41

Chap6_Sec4 - 6 APPLICATIONS OF INTEGRATION APPLICATIONS APPLICATIONS OF INTEGRATION 6.4 Work In this section we will learn about Applying

This preview shows document pages 1 - 11. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online