Find the length of a roll of GI steel sheet given its weight

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SUMMARY

The discussion focuses on calculating the length of a roll of galvanized iron (GI) steel sheet given its weight of 75 kg, width of 19 mm, and thickness of 0.25 mm. The density of the material is established at 7850 kg/m³. The correct approach involves using the formula for density (D = M / V) to find volume, and subsequently length (L = V / A), leading to the conclusion that the length of the roll is approximately 2011.39 meters after correcting for unit conversions.

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Homework Statement


I have a roll of galvanized iron sheet steel.
Its width is 19mm and thickness 0.25mm
Density 7850 kg/m^3
Weight of the roll is 75kg
I want to find how long would be the roll if its unwound.

Homework Equations


Density D = M / V
Length L = V / A
Area A = Width * Thickness

The Attempt at a Solution



I need to find the volume of the material first,
so I find the cross sectional area A from the length and thickness
A = 0.000005 m^2

For finding volume I know that D = 7850 kg / m^3 but I need to find mass (M)
So here is where I'm stuck up
Should I use Mass as 75kg
or Do I need to calculate Mass from the Weight which is 75 kg.
using W = m * g or m = W/g
even in this equation so m would be 75 / 9.8 = 7.65kg.
The final answer I have is Length = 200m but I don't know if that is correct.
 
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Do a quick check.

What does one metre weigh in kg? ( 1 * 0.019 * 0.00025 * 7850 ) = 0.0372875 kg
So the length is ( 75 / 0.0372875 ) = 2011.39 m

Where is the missing factor of 10 ?

What is the difference between a force a weight and a mass?
Consider units; Newton, kg force and kg mass.
 
Last edited:

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