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

In summary, the conversation is about finding the length of a roll of galvanized iron sheet steel based on its width, thickness, density, and weight. The volume of the material is calculated using the cross sectional area and the density. The weight of the roll is used to calculate the mass, which is then used to determine the length of the roll. However, there is some confusion about the units and calculations, resulting in a discrepancy in the final answer. The difference between force, weight, and mass is also discussed.
  • #1
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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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  • #2
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.
 
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FAQ: Find the length of a roll of GI steel sheet given its weight

1.

What is the formula for finding the length of a roll of GI steel sheet given its weight?

The formula for finding the length of a roll of GI steel sheet given its weight is: Length = (Weight / Density) x (1 / Thickness) x (1 / Width).

2.

What is the density of GI steel sheets?

The density of GI steel sheets may vary depending on the specific type and grade of steel, but it is typically around 7850 kg/m^3.

3.

What is the standard thickness and width of GI steel sheets?

The standard thickness and width of GI steel sheets can vary, but common sizes are 0.4mm to 3.2mm for thickness and 600mm to 1500mm for width.

4.

How accurate is the calculation for finding the length of a roll of GI steel sheet given its weight?

The accuracy of the calculation for finding the length of a roll of GI steel sheet given its weight will depend on the accuracy of the weight, density, thickness, and width values used in the formula. It is important to use accurate and precise measurements for the most accurate result.

5.

Can this formula be used for any type of steel sheet?

No, this formula is specifically for GI (Galvanized Iron) steel sheets. Other types of steel may have different densities and therefore require a different formula to find the length of a roll given its weight.

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