Tree Log Weight Calculator

Formula

To calculate the tree weight:

\[ \text{TW} = \pi \times \frac{\text{R}}{12^2} \times \text{TL} \times 93.6 \]

Where:

\(\text{TW}\) is the Tree Weight (lbs)
\(\text{R}\) is the Tree Radius (inches)
\(\text{TL}\) is the Tree Length (feet)

What is Tree Weight?

Tree weight refers to the total weight of a tree log based on its radius and length. It is calculated by multiplying the tree's radius by the length and a constant factor that accounts for the density of the wood.

Example Calculation 1

Let's assume the following values:

Tree Radius (\(\text{R}\)) = 10 inches
Tree Length (\(\text{TL}\)) = 20 feet

Using the formula:

\[ \text{TW} = \pi \times \frac{10}{12^2} \times 20 \times 93.6 \]

Calculate the intermediate steps:

\(\pi \approx 3.14159\)
\(\frac{10}{12^2} = \frac{10}{144} \approx 0.06944\)
\(\text{TW} = 3.14159 \times 0.06944 \times 20 \times 93.6 \approx 408.40\)

The Tree Weight is approximately 408.40 lbs.

Example Calculation 2

Let's assume the following values:

Tree Radius (\(\text{R}\)) = 15 inches
Tree Length (\(\text{TL}\)) = 30 feet

Using the formula:

\[ \text{TW} = \pi \times \frac{15}{12^2} \times 30 \times 93.6 \]

Calculate the intermediate steps:

\(\pi \approx 3.14159\)
\(\frac{15}{12^2} = \frac{15}{144} \approx 0.10417\)
\(\text{TW} = 3.14159 \times 0.10417 \times 30 \times 93.6 \approx 926.50\)

The Tree Weight is approximately 926.50 lbs.