# basic algebra fact s by huangyuarong

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```									                                    Basic Algebra
Fact Sheet for Force, Work, Power, Energy, and Torque

Name: ____________________________________                   Date: __________________

Directions: Using Lessons 1-12 at http://www.lessontutor.com/eesAlgebra9SeriesP.html,

have students complete the tutorials for homework. Then using equations for Force,

Work, Power, Energy, and Torque, have students algebraically manipulate them to solve

for each variable. Have them show evidence of achievement for the tutorials and

equations in their notebooks.

Equations and Units of Measure:

   Force

o Applied force is calculated using the equation F = ma, where F equals

force and is measured in Newtons (N), m equals mass measured in

kilograms (kg), and a is acceleration and is measured in meters per

seconds squared (m/s2).

o Gravitational force is calculated using the equation F = mg, where F

equals force and is measured in Newtons (N), m equals mass measured in

kilograms (kg), and g is gravity on earth and is measured in meters per

second squared (m/s2).

o 1 Newton = 1 kg * m/s2; the definition of the standard metric unit of force

is stated by the above equation. One Newton is defined as the amount of

force required to give a 1-kg mass an acceleration of 1 m/s/s.
   Work

o Work is calculated using the equation W = F * d * cos, where W equals

work and is measured in Joules (J), F equals force and is measured in

Newtons (N), d equals displacement measured in meters (m), and 

(Theta) is the angle of the path in which work is being done.

o 1 Joule = 1 Newton * 1 meter; one Joule is equivalent to one Newton of

force causing a displacement of one meter.

   Power

o Power is calculated using the equation P = W/t, where P equals power and

is measured in Watts (W), W equals work and is measured in Joules (J),

and t is time measured in seconds (s).

o 1 Watt = 1 Joule/second; a Watt is equivalent to a Joule/second. For

historical reasons, the horsepower is occasionally used to describe the

power delivered by a machine. One horsepower is equivalent to

approximately 750 Watts.

   Energy

o Potential Energy is calculated using the equation PE = m * g * h, where

PE equals potential energy and is measured in Joules (J), m equals mass

and is measured in kilograms (kg), g is the acceleration of gravity

measured in meters per second squared (m/s2), and h is height measured in

meters (m).

o Kinetic Energy is calculated using the equation KE = ½ * m * v2, where

KE equals kinetic energy and is measured in Joules (J), m equals mass
measured in kilograms (kg), and v is the speed of the object measured in

meters per second (m/s).

   1 Joule = 1 kg * m2/s2; a Joule is equivalent to 1 kilogram times a

meter squared per 1 second squared.

o Mechanical Energy is calculated using the equation ME = PE + KE,

where ME equals total mechanical energy and is measured in Joules (J),

PE is potential energy measured in Joules (J), and KE is kinetic energy in

Joules (J).

   Torque

o Torque is calculated using the equation T = F * d, where T is torque

measured in Newton-meters (Nm), F is force measured in Newtons (N),

and d equals distance from the fulcrum and is measured in meters (m).

Resources

http://www.glenbrook.k12.il.us/gbssci/phys/Class/BBoard.html

http://shark.comfsm.fm/~dleeling/physics/torque.html

Torque calculator: http://www.binsfeld.com/techinfo.cfm

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