How to Calculate Volume and Mass of a Brass Washer?

What are the dimensions of the brass washer and the density of brass? To calculate the volume and mass of the brass washer, we can use the provided dimensions and the density of brass. The outside diameter of the washer is 4.50 cm, the hole diameter is 1.25 cm, and the thickness is 1.50 mm. The density of brass is 8601 kg/m^3.

Calculating Volume and Mass of Brass Washer

Given:

Outside diameter of the washer, D_outside = 4.50 cm = 0.045 m

Hole diameter of the washer, D_hole = 1.25 cm = 0.0125 m

Thickness of the washer, t = 1.50 mm = 0.0015 m

Density of brass, ρ = 8601 kg/m^3

First, we need to calculate the volume of the washer. The washer can be considered as a cylindrical shape with a cylindrical hole subtracted from it. The volume of the washer is the difference between the volume of the outer cylinder and the volume of the inner cylinder.

Volume of the outer cylinder:

V_outer = π * (D_outside/2)^2 * t

Volume of the inner cylinder (hole):

V_inner = π * (D_hole/2)^2 * t

Volume of the washer:

V_washer = V_outer - V_inner

Next, we can calculate the mass of the washer using the density formula:

Mass of the washer:

m_washer = V_washer * ρ

Finally, we substitute the values into the formulas and calculate the volume and mass:

V_outer = π * (0.045/2)^2 * 0.0015 = 1.599 x 10^(-5) m^3

V_inner = π * (0.0125/2)^2 * 0.0015 = 3.066 x 10^(-6) m^3

V_washer = V_outer - V_inner = 1.292 x 10^(-5) m^3

m_washer = V_washer * ρ = (1.292 x 10^(-5) m^3) * (8601 kg/m^3) = 0.111 kg

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