A 156-kg coil of sheet steel is .080 mm thick and 50 cm wide. How long is the steel in the coil?
Length*Width*Thickness*Density = 156,000 g
Using the density of steel (in g/cm^3), which you should look up, solve for the length, in cm.
Thickness = 8*10^-3 cm
Width = 50 cm
I have already explained to you how to do the problem. Don't just parrot the same question back, get busy.
The density of steel is 7.85 g/cm^3.
There.. I saved you a step.
Length = 156,000/[(width)(thickness)*7.85]
The length units must be in centimeters. Divide the answer by 100 if you want it in meters.
To find the length of the steel in the coil, we need to first calculate the volume of the steel and then divide it by the cross-sectional area.
The volume of the steel coil can be calculated using the formula:
Volume = Thickness x Width x Length
Given:
Thickness = 0.080 mm
Width = 50 cm = 0.5 m
Let the length of the steel coil be L meters.
By rearranging the formula, we have:
L = Volume / (Thickness x Width)
To find the volume, we need to convert the given mass to volume using the density of steel. The density of steel is approximately 7850 kg/m^3.
Mass = 156 kg
Density = 7850 kg/m^3
Volume = Mass / Density
Let's calculate the volume first:
Volume = 156 kg / 7850 kg/m^3
Volume = 0.019873 m^3
Now, we can use this volume to find the length of the steel coil:
L = 0.019873 m^3 / (0.080 mm x 0.5 m)
L = 0.019873 m^3 / (0.00004 m^2)
L = 496.825 m
Therefore, the length of the steel in the coil is approximately 496.825 meters.
To find the length of the steel in the coil, we can use the formula:
Length = (Volume of Coil) / (Area of Cross-Section)
First, let's calculate the volume of the coil:
Volume = Mass / Density
Given that the mass of the coil is 156 kg, and the density of steel is approximately 7,800 kg/m^3, we can substitute these values into the formula:
Volume = 156 kg / (7,800 kg/m^3)
Next, we need to calculate the area of the cross-section:
Area = Thickness x Width
Given that the thickness is 0.080 mm and the width is 50 cm, we can convert both measurements to meters:
Thickness (in meters) = 0.080 mm / 1000 mm/m = 0.00008 m
Width (in meters) = 50 cm / 100 cm/m = 0.5 m
Now we can substitute these values into the formula:
Area = 0.00008 m x 0.5 m
Finally, we can substitute the calculated volume and area values into the length formula:
Length = Volume / Area
Therefore, you can find the length of the steel in the coil by dividing the volume of the coil (156 kg / 7,800 kg/m^3) by the area of the cross-section (0.00008 m x 0.5 m).