Websites focusing on simple machines often have PDF worksheets and corresponding answer keys.
A block and tackle pulley system has 5 supporting rope segments. What is the IMA?
AMA=Output Force (Resistance)Input Force (Effort)=FrFeAMA equals the fraction with numerator Output Force (Resistance) and denominator Input Force (Effort) end-fraction equals the fraction with numerator cap F sub r and denominator cap F sub e end-fraction
It increases the distance over which the force is applied ( dind sub in end-sub ), which decreases the required input force ( Fincap F sub in end-sub ) needed to lift a load.
Accounts for friction in the real world. Websites focusing on simple machines often have PDF
Using the data from a complex pulley system, the work input is calculated to be , while the useful work output achieved is . What is the efficiency of this pulley system? Work Input ( Wicap W sub i Work Output ( Wocap W sub o Select Formula:
Efficiency = (Output Work / Input Work) * 100%
No, because some work input is always used to overcome friction. What affects the output force of a nutcracker? The position of the nut relative to the pivot.
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Leo looked at the grease on his hands, then back at the pristine answer key in the book. He realized that the PDF answer key sitting in the teacher's drawer—the one everyone wanted to cheat off of—was actually dangerous. It represented a perfect world that didn't exist.
Key Concept: In the real world, AMA is always less than IMA because some input force is used to overcome friction. 2. Efficiency
Understanding Section 14.3: Mechanical Advantage and Efficiency
IMA=Input Distance (di)Output Distance (do)IMA equals the fraction with numerator Input Distance open paren d sub i close paren and denominator Output Distance open paren d sub o close paren end-fraction 3. Efficiency such as 3.
True or False: A rough loading ramp has a greater MA than a smooth one. . Friction reduces the actual mechanical advantage. How can two identical-looking machines have different AMAs? They may have different amounts of internal friction. Calculating Efficiency Example
If your answer disagrees with the key, check whether you swapped the numerator and denominator. Mistaking input for output is the most common error in this section. Are you solving for force, distance, or efficiency ?
Efficiency is usually expressed as a percentage, such as 3. Section 14.3 Key Terms & Definitions Resistance Force ( Frcap F sub r