Question

On a part time job you are asked to bring a cylindrical iron rod of density 7800 kg/m^3, length 81.2 cm and diameter 2.75 cm from a storage room to a machinist. Calculate the weight of the rod, w. The acceleration due to gravity, g= 9.81 m/s^2.
w= 36.9 N Part A

Part B) Now that you know the weight of the rod, do you think that you will be able to carry the rod without a cart? Yes or No?

Answer 1

Answer:

3.76188 kg

36.9040428 N

Yes

Explanation:

g = Acceleration due to gravity = 9.81 m/s²

L = Length of rod = 81.2 cm

d = Diameter of rod = 2.75 cm

r = Radius = $\frac{d}{2}=\frac{2.75}{2}=1.375\ cm$

A = Area of the cylinder =$\pi r^2$

v = Volume = $L\times A$

m = Mass

$\rho$ = Density of rod = 7800 kg/m³

Density

$\rho=\dfrac{m}{v}\\\Rightarrow m=\rho\times v\\\Rightarrow m=\rho\times L\times A\\\Rightarrow m=7800\times 0.812\times \pi\times 0.01375^2\\\Rightarrow m=3.76188\ kg$

The mass of the rod is 3.76188 kg.

As the the mass of the rod is 3.76188 kg I will be able to carry the rod.

Weight

$W=mg\\\Rightarrow W=3.76188\times 9.81\\\Rightarrow W=36.9040428\ N$

The weight of the rod is 36.9040428 N