Work, Power, and Machines - Chapter 14 Section 1

What is work?

The product of the force applied to an object and the distance through which the force was applied (Force*Distance=Work (w=f*d)

All or part of the force must act in the direction of the movement

Do you do more work when you finish a job quickly?

Work does NOT involve time, only force and distance

No work is done when you stand in place holding an object.

The Joule

1 newton-meter is a quantity known as a Joule

Named after British physicist James Prescott Joule

Power

How quickly work is done

Amount of work done per unit time.

If two people mow two lawns of equal size and one does the job in half the time, the person who did it quicker did the same power, but they both did the same amount of work.

Power=Work/Time (P=W/T)

The Watt

A unit named after Scottish inventor James Watt

Invented the steam engine

P=W/T

Joules/Second

1 watt = 1 J/s

Used to measure power of light bulbs and small appliances

An electric bill is measured in kW/hrs

Horsepower (hp) = 745.5 watts

Traditionally associated with engines. (car, motorcycle, lawn mower).

The term horsepower was developed to quantify power. A strong horse could move a 750N object one meter in one second.

Started as "this engine could do the amount of work 6 horses could

Machines

A device that makes work easier by changing the size, direction, or distance of a force

Forces Involved

Input force (F_i): Force applied to a machine

Output force (F_o): Force applied by a machine

Two forces, two types of work

Work input:

Work done on a machine.

Input Force*Input Distance< (F_i*D_i=Input Force)

Work Output:

Work done by a machine.

Output Force*Output Distance (F_o*D_o=Output Force)

WORK OUTPUT CAN NOT BE GREATER THAN WORK INPUT

Mechanical Advantage

The number of times a machine multiplied the input force

MA=F_o/F_i

TWO TYPES: Ideal and Actual

IDEAL:

Involves no friction.

Is calculated differently for different machines

Usualy D_i/D_o

ACTUAL:

Involves Friction

Calculated the same for all machines

Efficiency

Efficiency can never be greater than 100% because of friction

Some work is always needed to overcome friction

A percentage comparison of W_o/W_i

The 6 Types of Simple Machines

The Lever:

its... its a lever... its just a bar that pivots...

Fulcrum=the pivot point of a lever

First Class Lever: the fulcrum is located between the effort and resistance.

Makes work easier by multiplying effect force AND changing direction

Ex: Teeter-Totter

Second Class Lever: Resistance is found between the fulcrum and input force

Makes work easier by multiplying the input force, but NOT changing direction.

Ex: A wheelbarrow

Third Class Lever: Input force is located between the output force and the fulcrum

Does NOT multiply input force, only multiplies the distance

Ex: A tennis racket

Mechanical Advantage of Lever

Ideal = input arm length/output arm length

input arm = distance from the input force to the fulcrum

Output arm = distance from output force to the fulcrum


Wheel and Axle:

A lever that rotates in a circle

A combination of 2 wheels of different sizes.

Smaller wheel is termed the axle

IMA = radius of wheel/radius of axle

The Inclined Plane:

A slanted surface used to raise an object

Ex: Ramps, stairs, ladders

IMA = length of ramp/height of ramp

Can never be less than one

The Wedge:

An inclined plane that moves

Ex: Knife, axe, razor blade

MA is increased by sharpening it

The Screw:

An inclined plane wrapped around a cylinder

The closer the threads, the greated the mechanical advantage

Ex: bolts, augers, drill bits

The Pully:

A chain, belt, or rope wrapped around a wheel

Can either change the direction or amount of effort force

Ex: flag pole, blinds, stage curtain

FIXED Pully

Can only change the direction of a force (MA=1)

MOVEABLE Pully

Can multiply an effort force, but cannot move direction. (MA>1)

IMA=number of supporting ropes

Compound machine:

A combination of 2 or more simple machine

Cannot get more work out of a compound machine than is put in