Gold wire

A wire of length 1.4 km was drawn from one gram of gold. What is its diameter if the density of gold is ρ = 19.5 g/cm³?

Final Answer:

d =  6.83 μm

Step-by-step explanation:

l=1.4 km→ cm=1.4⋅ 1000⋅ 100  cm=140000 cm ρ=19.5 g/cm3 m=1 g  m= ρ V  V=m/ρ=1/ρ=392​≐0.0513 cm3  V = π r2 ⋅  l  r=π⋅ lV​​=3.1416⋅ 1400000.0513​​≐0.0003 cm d1​=2⋅ r=2⋅ 0.0003≐0.0007 cm  d=d1​⋅ 10000=0.0007⋅ 10000=6.83 μm

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arithmeticsolid geometryplanimetricsUnits of physical quantitiesthemes, topicsGrade of the word problem

 
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