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 ID: 1034543
Download Presentation The PPT/PDF document "Rearranging Mechanical Advantage Equatio..." is the property of its rightful owner. Permission is granted to download and print the materials on this web site for personal, non-commercial use only, and to display it on your personal computer provided you do not modify the materials and that you retain all copyright notices contained in the materials. By downloading content from our website, you accept the terms of this agreement.
1. Rearranging Mechanical Advantage Equation and teach examples
2. Learning ObjectivesI can mathematically rearrange the mechanical advantage equation.I can calculate mechanical advantage using the formula.
3. 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 Mechanical Advantage, the easier it is to move something.Basic M.A.= 1We want to make the MA number bigger!!!Means more Output force from the machine, less Input force from you! = less effort!!!
4. Formula RepresentationFormulaRepresentsUnitsAMA = AMA = Actual Mechanical Advantage-------------Fr = Output ForceNewtons (N)Fe = Input ForceNewtons (N)FormulaRepresentsUnitsAMA = Actual Mechanical Advantage-------------Fr = Output ForceNewtons (N)Fe = Input ForceNewtons (N)
5. Solve for Output/Resistance Force (Fr) AMA = = Step 1 – Multiply both sides by input force Fe) ()
6. Solve for Input Force/Effort Force (Fe) AMA = Step 1 – Multiply both sides by input force FeStep 2 – Divide by AMA – actual mechanical advantage on both sides.(Fe)(Fe)__AMA__AMAFe = Fr = (Fe)AMA
7. AMA Related EquationsIMAInput ForceOutput ForceAMA = Fe = Fr = (AMA)FeIMAInput ForceOutput ForceFr = (AMA)FeRepresentsCommon Units (SI)AMA = Actual Mechanical Advantage----------------------Fr = Output force/resistance forceNewtonsFe = Input force/effort forceNewtons
8. Calculation Example #11. A lever lifts 280N with an effort of 40N. What is the mechanical advantage?Given/UnknownWorkAMA = Fe = Fr = 40N?280N
9. Calculation Example #22. How much effort is needed to lift a 200N object with a lever that has a mechanical advantage of 4?Given/UnknownWorkAMA = Fe = Fr = ?4200N
10. Calculation Example #33. A moving pulley has a mechanical advantage of 2 and you use 200N of force. What is the force/weight of the object?Given/UnknownWorkAMA = Fe = Fr = 200N2?