A concrete column has a diameter of 350mm and a length of 2m. If the density (mass/volume) of concrete is 2.45 Mg/m3 determine the weight of the column in pounds. 1 pound = 4.4482 N

Respuesta :

Answer:

The weight of concrete column is 1039 Newton.

Step-by-step explanation:

We are given the following in the question:

Diameter of column = 350 mm = 0.35 m

[tex]\text{Radius} = \dfrac{\text{Diameter}}{2} = \dfrac{0.35}{2} = 0.175 ~m[/tex]

Length of column = 2 m

Density of column = 2.45 Mg per meter cube

Volume of column =

[tex]\text{Volume of cylinder}\\= \pi r^2h\\\text{where r is the radius and h is the height}\\V = \dfrac{22}{7}\times (0.175)^2\times 2\\\\V = 0.1925\text{ cubic meter}[/tex]

Mass of column =

[tex]\text{Volume of column}\times \text{Density of cone}\\= 2.45\times 0.1925\\=0.4716~ Mg\\=0.4716\times 10^3~Kg\\= 471.6~Kg[/tex]

Weight of column =

[tex]\text{Mass}\times g\\= 471.6\times 9.8\\= 4621.68~ N[/tex]

Weight in pounds =

[tex]1 \text{ pound} = 4.4482 ~N\\\\\Rightarrow \dfrac{4621.68}{4.4482} = 1039\text{ pounds}[/tex]

The weight of concrete column is 1039 Newton.