Fulcrum Weight Balance Calculator

Lever Principle Formula:

\[ F1 \times d1 = F2 \times d2 \]

Balances weights at fulcrum.

Force 1 (F1):

Distance 1 (d1):

Force 2 (F2):

Distance 2 (d2):

Calculation Result:

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1. What is the Fulcrum Weight Balance Principle?

The fulcrum weight balance principle, also known as the lever principle, states that for a system to be in equilibrium, the product of force and distance on one side of the fulcrum must equal the product on the other side (F1 × d1 = F2 × d2).

2. How Does the Calculator Work?

The calculator uses the lever principle formula:

\[ F1 \times d1 = F2 \times d2 \]

Where:

\( F1 \) — Force on first side (Newtons)
\( d1 \) — Distance from fulcrum to F1 (meters)
\( F2 \) — Force on second side (Newtons)
\( d2 \) — Distance from fulcrum to F2 (meters)

Explanation: The calculator can solve for any one missing variable when the other three are known.

3. Applications of Lever Principle

Details: This principle is fundamental in physics and engineering, used in seesaws, crowbars, wheelbarrows, and many mechanical systems.

4. Using the Calculator

Tips: Enter any three known values (leaving one field empty) to calculate the missing value. All inputs must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What are the units used in this calculator?
A: Force is in Newtons (N) and distance is in meters (m).

Q2: Can I use different units?
A: You can use any consistent units (e.g., kg and cm), but you'll need to convert the results appropriately.

Q3: Does this work for multiple forces on each side?
A: For multiple forces, you would sum the moments (force × distance) on each side.

Q4: What if my system isn't balanced?
A: The calculator assumes equilibrium. For unbalanced systems, you'd calculate net torque.

Q5: How accurate is this calculation?
A: The calculation is mathematically exact, assuming ideal conditions (massless lever, perfect fulcrum, etc.).