Enter the values as required !

The **Balance Factor Calculator** is essential for identifying imbalances in binary trees and AVL trees, in order to ensure height-balanced structures. By calculating the difference between the heights of left and right subtrees, it maintains optimal search and operation times.

**Formula**:

The formula is:

$\text{BF} = \frac{\text{LW} – \text{RW}}{\text{LW} + \text{RW}$

**To calculate the Balance Factor (BF), subtract the right weight (RW) from the left weight (LW), then divide the result by the sum of the left weight and right weight.**

Variable |
Meaning |
---|---|

BF | Balance Factor (a measure of balance between two weights) |

LW | Left Weight (the weight on the left side) |

RW | Right Weight (the weight on the right side) |

**Solved Calculations :**

**Example 1:**

**Given**:

- Left Weight (LW) = 100 kg
- Right Weight (RW) = 80 kg

Calculation |
Instructions |
---|---|

Step 1: BF = $\frac{\text{LW} – \text{RW}}{\text{LW} + \text{RW}}$ |
Start with the formula. |

Step 2: BF = $\frac{100 – 80}{100 + 80}$ |
Replace LW with 100 kg and RW with 80 kg. |

Step 3: BF = $\frac{20}{180}$ |
Subtract 80 from 100 and add the weights together. |

Step 4: BF = 0.11 |
Divide 20 by 180 to get the balance factor. |

**Answer**:

The balance factor is **0.11**.

**Example 2:**

**Given**:

- Left Weight (LW) = 150 kg
- Right Weight (RW) = 120 kg

Calculation |
Instructions |
---|---|

Step 1: BF = $\frac{\text{LW} – \text{RW}}{\text{LW} + \text{RW}}$ |
Start with the formula. |

Step 2: BF = $\frac{150 – 120}{150 + 120}$ |
Replace LW with 150 kg and RW with 120 kg. |

Step 3: BF = $\frac{30}{270}$ |
Subtract 120 from 150 and add the weights together. |

Step 4: BF = 0.11 |
Divide 30 by 270 to get the balance factor. |

**Answer**:

The balance factor is **0.11**.

**Final Words: **

It also has practical applications in mechanical systems like crankshaft balancing, helping to maintain smooth engine function.