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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