Question

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

Answer 1

To determine the weight of the concrete column in pounds, calculate its mass using the density formula and then convert it using the conversion factor. The weight of the column is approximately 1.882π lb.

Step-by-step explanation:

To determine the weight of the concrete column in pounds, we need to calculate its mass and then convert it to pounds using the conversion factor. First, let's find the volume of the column by using the formula for the volume of a cylinder: V = πr^2h, where r is the radius and h is the height.

The radius is half the diameter, so r = 350mm / 2 = 175mm = 0.175m. The height is given as 2m. Thus, the volume is: V = π(0.175m)^2 * 2m = 0.1925π m³.

Next, we can calculate the mass of the concrete using the density formula: mass = density * volume. Plugging in the given density of concrete (2.45 Mg/m³) and the calculated volume, we get: mass = 2.45 Mg/m³ * 0.1925π m³ = 0.425π Mg.

To convert the mass to pounds, we need to multiply by the conversion factor of 4.4482 N / 1 lb. Using this conversion factor, the weight of the concrete column is: weight = 0.425π Mg * 4.4482 N / 1 lb = 1.882π lb.

Answer 2

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

`\text{Radius} = \frac{\text{Diameter}}{2} = (0.35)/(2) = 0.175 ~m`

Length of column = 2 m

Density of column = 2.45 Mg per meter cube

Volume of column =

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

Mass of column =

`\text{Volume of column}* \text{Density of cone}\\= 2.45* 0.1925\\=0.4716~ Mg\\=0.4716* 10^3~Kg\\= 471.6~Kg`

Weight of column =

`\text{Mass}* g\\= 471.6* 9.8\\= 4621.68~ N`

Weight in pounds =

`1 \text{ pound} = 4.4482 ~N\\\\\Rightarrow (4621.68)/(4.4482) = 1039\text{ pounds}`

The weight of concrete column is 1039 Newton.