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Presentation Transcript
Rearranging Mechanical Advantage Equation and teach examples
Learning Objectives I can mathematically rearrange the mechanical advantage equation. I can calculate mechanical advantage using the formula.
Actual Mechanical Advantage (AMA) The ratio of the output force to the input force in a machine. Measuring the actual forces on the machine. ?????? ????? (??) ????? ????? (??) The higher the MechanicalAdvantage, the easier it is to move something. We want to make the MA number bigger!!! Means more Output force from the machine, less Input force from you! = less effort!!! ??? = Basic M.A.= 1
Formula Representation Formula Represents AMA = Actual Mechanical Advantage Fr = Output Force Fe = Input Force Units ------------- AMA = ?? ?? Newtons (N) Newtons (N)
Solve for Output/Resistance Force (F Solve for Output/Resistance Force (Fr r) ) Step 1 Multiply both sides by input force Fe AMA = ?? (??) (??) ?? ?? = A??(??)
Solve for Input Force/Effort Force Solve for Input Force/Effort Force (F (Fe e) ) Step 1 Multiply both sides by input force Fe AMA = ?? (Fe) (Fe) ?? Fr = (Fe)AMA Step 2 Divide by AMA actual mechanical advantage on both sides. __ AMA __ AMA ?? Fe = ???
AMA Related Equations IMA Input Force Fe = Output Force Fr = (AMA)Fe AMA = ?? ?? ?? ??? Represents Common Units (SI) AMA = Actual Mechanical Advantage ---------------------- Fr = Output force/resistance force Fe = Input force/effort force Newtons Newtons
Calculation Example #1 1. A lever lifts 280N with an effort of 40N. What is the mechanical advantage? Given/ Unknown AMA = Fe = Fr = Work ? 40N 280N 280N 40N AMA =Fr AMA = 7 AMA = Fe
Calculation Example #2 2. How much effort is needed to lift a 200N object with a lever that has a mechanical advantage of 4? Given/ Unknown AMA = Fe = Fr = Work 4 ? 200N 200N 4 Fr Fe= 50N Fe= Fe= AMA
Calculation Example #3 3. A moving pulley has a mechanical advantage of 2 and you use 200N of force. What is the force/weight of the object? Given/ Unknown AMA = Fe = Fr = Work 2 200N ? Fr = 400N Fr = (2)(200N) Fr = AMA(Fe)
