Lever calculator

"Give me a place to stand and I will move the Earth." The arithmetic is a ratio of distances.

Effort needed
125N
= Exact Lever
Mechanical advantage
4.000 00
Moment about the fulcrum
150 N m
Effort travel for 100 mm of load travel
0.4
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  1. Load = 500
  2. Load distance from the fulcrum = 0.3
  3. Effort distance from the fulcrum = 1.2
  4. Mechanical advantage = 1.2 / 0.3 = 4
  5. Effort needed = 500 / 4 = 125
  6. Moment about the fulcrum = 500 * 0.3 = 150
  7. load_travel = 0.1 = 0.1
  8. Effort travel for 100 mm of load travel = 0.1 * 4 = 0.4

Values are shown to six significant figures here; the arithmetic itself runs on exact fractions and is only rounded where a number is printed.

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    The formula

    • load x load arm = effort x effort arm
    • mechanical advantage = effort arm / load arm

    A lever multiplies force and divides distance. The work done is the same either way, less friction.

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