The formula to calculate the Cylinder Density (CD) is:
\[ CD = \frac{m}{\pi r^2 L} \]
Where:
Let's say the cylinder mass (\( m \)) is 10 kg, the radius (\( r \)) is 0.5 m, and the length (\( L \)) is 2 m. Using the formula:
\[ CD = \frac{10}{\pi \times (0.5)^2 \times 2} \]
We get:
\[ CD = \frac{10}{\pi \times 0.25 \times 2} \approx 6.37 \text{ kg/m³} \]
So, the Cylinder Density (\( CD \)) is approximately 6.37 kg/m³.
Cylinder Density refers to the mass per unit volume of a cylindrical object. It is calculated by dividing the mass of the cylinder by its volume, which is determined using the radius and length of the cylinder. This measure is important in various fields such as material science, engineering, and manufacturing.
Formula: \( \rho = \frac{m}{V} \)
Example: \( \rho = \frac{50}{20} \)
Formula: \( \rho = \frac{m}{V} \)
Example: \( \rho = \frac{30}{15} \)
Formula: \( \rho = \frac{m}{\pi r^2 h} \)
Example: \( \rho = \frac{100}{\pi \times 2^2 \times 5} \)
Formula: \( \lambda = \frac{Q}{L} \)
Example: \( \lambda = \frac{5}{2} \)
Formula: \( \rho_v = \frac{Q}{\pi r^2 L} \)
Example: \( \rho_v = \frac{10}{\pi \times 0.5^2 \times 3} \)
Formula: \( V = \pi r^2 h \)
Example: \( V = \pi \times 3^2 \times 7 \)
Formula: \( \rho = \frac{m}{V} \)
Example: \( \rho = \frac{40}{10} \)
Formula: \( d = 2r \)
Example: \( d = 2 \times 4 \)
