Question

on a part-time job, you are asked to bring a cylindrical iron rod of density 7800 kg/m3 , length 92.8 cm and diameter 2.05 cm from a storage room to a machinist. calculate the weight of the rod, w . assume the free-fall acceleration is g

Answer 1

On a part-time job, you are asked to bring a cylindrical iron rod of density 7800 kg/m3 , length 92.8 cm and diameter 2.05 cm from a storage room to a machinist, the  weight of rod w is 23.41 N .

How is the weight calculated?

Given ,

density (d) = 7800 kg/m³

D = 2.05 cm = 0.0205 m

r = D/2 = 0.0205 / 2 =0.01025 m

h = 92.8 cm = 0.928 m

The weight is calculated by ,

W = m × g

But, to find mass (m)

m = d × V

The volume of the rod, because is cylindrical, is,

V = π × r² × h

∴ V = 3.14 × (0.01025)² × 0.928

∴ V = 3.14 × 1.051 × 10⁻⁴ × 0.928

∴ V = 3.0625 × 10⁻⁴

Now to calculate mass,

m = d × V

∴ m = 7800 × 3.0625 × 10⁻⁴

∴ m = 2.3887 Kg

Now, for calculating weight

W = m × g

∴ W =  2.3887 × 9.8

∴ W = 23.41 N

∴ The weight of the rod W assuming the free-fall acceleration is 23.41 N .

What is weight?

1. The weight of an object is the force exerted on it by gravity.
2. It is define weight as a vector quantity, the force of gravity acting on an object.
3. Some define weight as a scalar quantity that is the magnitude of gravity.

Can learn more about weight calculation from brainly.com/question/15685221

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