Lever Systems Formula Calculator

Enter 3 out of 4 below:

F1	x	F2	d

  

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Given F₁ = 10, F2₁ = 20, Distance from F₁ to fulcrum (x) = 5, calculate Lever Length (d)

The Lever Equation is as follows:
F₁x = F₂(d - x)

Multiply the right side of the equation out:
F₁x = F₂d - F₂x

Add F₂x to both sides:
F₁x + F₂x = F₂d - F₂x + F₂x

Cancelling F₂x on the right side, we get:
F₁x + F₂x = F₂d

Factor out x:
x(F₁ + F₂) = F₂d

Divide each side of the equation by F₂:

x(F1 + F2)
F2

=

F2d

F2

Cancelling F₂ on the right side, we get:

d  =	x(F1 + F2)
	F2

Plug in our numbers and simplify:

d  =	5(10 + 20)
	20

d  =	5(30)
	20

x  =	150
	20

Lever Length (d) = 7.5

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