Mechanical Advantage Formula:
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The mechanical advantage (MA) of a pulley system is the factor by which it multiplies the force applied to it. It equals the number of supporting ropes in the system.
The calculator uses the simple formula:
Where:
Explanation: Each supporting rope shares the load equally, so the force needed is the total load divided by the number of ropes.
Details: Mechanical advantage determines how much easier a pulley system makes lifting a load. Higher MA means less force is needed but more rope must be pulled.
Tips: Count only the ropes that are supporting the load (attached to the moving pulley). The rope you pull on counts if it's supporting the load.
Q1: Does the rope you pull count as a supporting rope?
A: Yes, if it's attached to the moving pulley and supporting the load. If it's just being pulled downward, it doesn't count.
Q2: What's the maximum MA possible with pulleys?
A: In theory unlimited, but practical systems rarely exceed MA of 6 due to friction and complexity.
Q3: How does friction affect MA?
A: Friction reduces the actual MA from the ideal value calculated here. More pulleys mean more friction.
Q4: What's the difference between fixed and movable pulleys?
A: Fixed pulleys change direction only (MA=1). Movable pulleys provide mechanical advantage (MA=2 per movable pulley in simple systems).
Q5: How does MA relate to work?
A: While MA reduces the force needed, the total work (force × distance) remains the same - you pull more rope for less force.