On a part-time job, you are asked to bring a cylindrical iron rod of density 7800 kg/m3 , length 95.0 cm and diameter 2.00 cm from a storage room to a machinist. Calculate the weight of the rod, w. Assume the free-fall acceleration is g

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Answer:

[tex]22.84\ \text{N}[/tex]

Explanation:

[tex]\rho[/tex] = Density = [tex]7800\ \text{kg/m}^3[/tex]

h = Length of rod = 95 cm

d = Diameter of rod = 2 cm

r = Radius = [tex]\dfrac{d}{2}=1\ \text{cm}[/tex]

g = Acceleration due to gravity = [tex]9.81\ \text{m/s}^2[/tex]

V = Volume of rod = [tex]\pi r^2h[/tex]

Mass is given by

[tex]m=V\rho[/tex]

Weight is given by

[tex]w=mg=V\rho g\\\Rightarrow w=\pi r^2h\rho g\\\Rightarrow w=\pi\times (1\times 10^{-2})^2\times (95\times 10^{-2})\times 7800\times 9.81\\\Rightarrow w=22.84\ \text{N}[/tex]

The weight of the rod is [tex]22.84\ \text{N}[/tex].