copper ingot weighing 150 lb diameter 7.50 mm density 8.94 g/cm3

copper ingot weighing 150 lb diameter 7.50 mm density 8.94 g/cm3

 

 

A copper refinery produces a copper ingot weighing 150 lb.

If the copper is drawn into wire whose diameter is 7.50 mm,

how many feet of copper can be obtained from the ingot?

The density of copper is 8.94 g/cm^3.

(Assume that the wire is a cylinder

whose volume V = πr^2h,

where r is its radius and h is its height or length.)

 

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▶ 참고: 환산인자 [ https://ywpop.tistory.com/3121 ]

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[ 그림 출처 Wikimedia ] Copper ingot. 1 kg짜리 구리 주괴.

 

 

 

150 lb × (453.59237 g / 1 lb) = 68038.8555 g

 

 

 

68038.8555 g × (1 cm^3 / 8.94 g) = 7610.610235 cm^3

 

 

 

 

 

[ 그림 출처 Wikimedia ] Copper wire.

 

 

 

7.50 mm = 0.750 cm

 

 

 

V = πr^2h

 

h = V / πr^2

= (7610.610235 cm^3) / ((3.14159) (0.750 cm / 2)^2)

= 17226.91217 cm

 

 

 

17226.91217 cm × (1 ft / 30.48 cm) = 565.1874 ft

 

 

 

답: 약 565 ft

 

 

 

 

[공식]

질량(lb) × 453.59237 / 밀도 / ((3.14159) (지름(cm) / 2)^2) / 30.48 = ft

 

150 × 453.59237 / 8.94 / ((3.14159) (0.750 / 2)^2) / 30.48 = 565.1874 ft

 

 

 

 

만약 지름이 8.25 mm이라면,

150 × 453.59237 / 8.94 / ((3.14159) (0.825 / 2)^2) / 30.48 = 467.097 ft

 

 

 

 

만약 질량이 kg 또는 g으로 주어지고, 구하는 단위가 meter라면,

질량(g) / 밀도 / ((3.14159) (지름(cm) / 2)^2) / 100 = m

 

만약 질량이 70 kg이라면,

70000 / 8.94 / ((3.14159) (0.750 / 2)^2) / 100 = 177.2346 m

---> 약 177 m

 

A copper refinery produces a copper ingot weighing 70 kg.

If the copper is drawn into wire whose diameter is 7.50 mm,

how many meters of copper can be obtained from the ingot?

The density of copper is 8.94 g/cm^3.

 

copper ingot weighing 70 kg diameter 7.50 mm density 8.94 g/cm3

 

 

 

 

[키워드] 제련소에서 구리를 제련하여 70 kg짜리 구리 주괴를 제조하였다, 70 kg copper 7.50 mm wire density 8.94 g/cm3

 

[FAQ] [①23/03/18]