Question

certain part of an aircraft engine has a volume of 2.2 ft3. (a) Find the weight of the piece when it is made of copper. (b) If the same piece is made of aluminum, what is its weight

Answer 1

Answer:

(a) 54669.26 N

(b) 16473.996 N

Explanation:

(a)

From the question,

D = m/v................ Equation 1

Where m = mass of copper, D = density of copper, v =  volume of copper.

make m the subject of the equation

m = D×v...............Equation 2

Given: v = 2.2 ft³ = (2.2×0.0283) m³ = 0.6226 m³

Constant: D = 8960 kg/m³

substitute into equation 2 above

m = 8960×0.6226

m = 5578.496 kg

W = mg

W = 5578.496×9.8

W = 54669.26 N

(b)

Also

Density= mass/volume.

D = m/v ............. Equation 3

Where D = density of aluminum, m = mass of aluminum, v = volume

make m the subject of the equation

m = D×v............. Equation 4

Given: v = 2.2 ft³ = 2.2×0.0283 = 0.6226 m³

Constant: D = 2700 kg/m³

Substitute into equation 4

m = 2700×0.6226

m = 1681.02 kg

But

W = mg

where W = weight, g = acceleration due to gravity

W = 1681.02×9.8

W = 16473.996 N

Answer 2

Explanation:

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