Component weight

The component is a regular decagon with a side of 2 cm. Its material weight of 1 m² of sheet metal is 24 kg. What is the weight of 200 components?

Final Answer:

m =  14.8 kg

Step-by-step explanation:

$$\begin{gathered} n=200 \\ \rho =24{\text{kg/m}}^2 \\ a=2\text{cm}\to \text{m}=2:100\text{m}=0.02\text{m} \\ w=10 \\ {S}_1=w\cdot \frac{a^2}{4\cdot \tan (\pi /w)}=10\cdot \frac{0.02^2}{4\cdot \tan (3.1416/10)}\doteq 0.0031{\text{m}}^2 \\ m=n\cdot \rho \cdot S_1=200\cdot 24\cdot 0.0031=14.8\text{kg} \end{gathered}$$

Try another example