Calcular Peso Cilindro
Determine the weight of a cylinder using our precise calculator. This tool helps engineers, scientists, and DIY enthusiasts calculate the mass of cylindrical objects based on their dimensions and material density.
How to Calculate Cylinder Weight
Calculating the weight of a cylinder involves several steps. First, you need to know the dimensions of the cylinder (radius and height) and the density of the material it's made from. The formula for cylinder weight is:
Formula
Weight = π × r² × h × ρ × g
Where:
- π (pi) ≈ 3.14159
- r = radius of the cylinder
- h = height of the cylinder
- ρ (rho) = density of the material
- g = acceleration due to gravity (9.81 m/s² on Earth)
To use our calculator:
- Enter the radius of the cylinder in meters
- Enter the height of the cylinder in meters
- Select the material from the dropdown list
- Click "Calculate" to see the result
Note
The calculator uses standard density values for common materials. For precise calculations with custom materials, you may need to provide the exact density value.
The Formula Explained
The cylinder weight formula combines several fundamental principles:
- The volume of a cylinder is πr²h
- Mass is calculated by multiplying volume by density (mass = volume × density)
- Weight is the force exerted by mass in a gravitational field (weight = mass × gravity)
The complete formula combines these principles into a single equation that directly calculates weight from measurable dimensions and material properties.
| Material | Density (kg/m³) |
|---|---|
| Steel | 7850 |
| Aluminum | 2700 |
| Copper | 8960 |
| Concrete | 2400 |
| Water | 1000 |
Worked Example
Let's calculate the weight of a steel cylinder with:
- Radius = 0.5 meters
- Height = 2 meters
- Material = Steel (density = 7850 kg/m³)
Using the formula:
Weight = π × (0.5)² × 2 × 7850 × 9.81
Weight ≈ 3.14159 × 0.25 × 2 × 7850 × 9.81
Weight ≈ 3.14159 × 0.25 × 2 × 76906.5
Weight ≈ 3.14159 × 0.25 × 153813
Weight ≈ 3.14159 × 38453.25
Weight ≈ 120,530.8 N (Newtons)
This means the steel cylinder weighs approximately 120,530.8 Newtons. For comparison, this is roughly equivalent to the weight of about 12,280 kilograms on Earth.
Frequently Asked Questions
- What units should I use for the cylinder dimensions?
- The calculator uses meters for both radius and height. If you have measurements in other units, convert them to meters before entering them into the calculator.
- Can I use this calculator for hollow cylinders?
- This calculator provides the weight of a solid cylinder. For hollow cylinders, you would need to calculate the weight of the outer cylinder and subtract the weight of the inner empty space.
- What if I don't know the density of my material?
- The calculator includes common materials, but if you're working with an unusual material, you may need to look up its density or use a default value that's close to your material's properties.
- Is the gravity value adjustable?
- The calculator uses Earth's standard gravity (9.81 m/s²). For calculations on other planets or in space, you would need to adjust this value accordingly.