A 156-kg coil sheet steel is 0.80 mm thick and 50 cm wide. How long is the steel in the coil?
What is your answeR?
What is your answeR?
To find the length of the steel in the coil, we need to use the formula:
Length = (Weight / (Density x Thickness x Width))
where:
Weight = 156 kg (given)
Density = density of steel (we need to look this up)
Thickness = 0.80 mm
Width = 50 cm
First, let's convert the thickness from millimeters to meters:
Thickness = 0.80 mm = 0.80/1000 = 0.0008 m
Next, let's convert the width from centimeters to meters:
Width = 50 cm = 50/100 = 0.50 m
Now, let's find the density of steel. The density of steel can vary, but a commonly used value is around 7850 kg/m³.
Using the formula, the length can be calculated as:
Length = (156 kg / (7850 kg/m³ x 0.0008 m x 0.50 m))
Now, we can calculate the length:
Length = (156 / (7850 x 0.0008 x 0.50)) m
Simplifying further:
Length ≈ (156 / 3.14) m
Length ≈ 49.68 m
Therefore, the length of the steel in the coil is approximately 49.68 meters.