Answer :
Final answer:
The weight of a 12"" section of the steel round stock can be calculated using the formula weight = length × cross-sectional area × density. By substituting the values, the weight of the 12"" section is determined.
Explanation:
To calculate the weight of a steel round stock, we need to use the formula:
weight = length × cross-sectional area × density
The given length is 103 3/4"" and the diameter is 2 1/2"". We can use the diameter to calculate the radius, which is half the diameter. The cross-sectional area of a circle is calculated using the formula:
area = π × radius^2
The density of steel is typically given as a constant value. With these values, we can calculate the weight of the given length of steel round stock:
- Convert the given length to inches: 103 3/4"" = 103.75""
- Convert the diameter to inches: 2 1/2"" = 2.5""
- Calculate the radius: radius = diameter / 2 = 2.5"" / 2 = 1.25""
- Calculate the cross-sectional area: area = π × radius^2 = 3.14 × 1.25^2 = 4.91 square inches
- Calculate the weight: weight = length × area × density = 103.75"" × 4.91 square inches × density
Now, to find the weight of a 12"" section, we can use the same formula with the new length:
- Convert the length to inches: 12""
- Calculate the weight: weight = length × area × density = 12"" × 4.91 square inches × density
Learn more about calculating the weight of a steel round stock here:
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