what is the weight of a ten foot length of steel pipe? the inside diameter of the pipe is 3/4 of an inch, and the outside diameter i one inch. steel weighs 490lbs. per cubic foot.
To calculate the weight of a ten-foot length of steel pipe, we can follow these steps:
1. Calculate the volume of the steel pipe:
- First, find the radius of the inside diameter: 3/4 inch / 2 = 3/8 inch = 0.375 inches.
- Next, find the radius of the outside diameter: 1 inch / 2 = 1/2 inch = 0.5 inches.
- Calculate the difference between the squares of the outside and inside radii: (0.5^2) - (0.375^2) = 0.25 - 0.140625 = 0.109375 square inches.
- Multiply this difference by the length of the pipe in inches: 0.109375 square inches * (10 feet * 12 inches/foot) = 13.125 cubic inches.
2. Convert the volume to cubic feet:
- Divide the volume by 1728 (since there are 1728 cubic inches in one cubic foot): 13.125 cubic inches / 1728 = 0.0076 cubic feet.
3. Calculate the weight of the steel pipe:
- Multiply the volume by the weight of steel per cubic foot: 0.0076 cubic feet * 490 lbs/cubic foot = 3.724 lbs.
Therefore, the weight of a ten-foot length of steel pipe is approximately 3.724 lbs.
To determine the weight of the steel pipe, we need to find the volume of the pipe first and then multiply it by the weight of steel per cubic foot.
1. Calculate the average radius of the steel pipe:
- The inside diameter is given as 3/4 of an inch, so the inside radius is (3/4) / 2 = 3/8 inch.
- The outside diameter is given as one inch, so the outside radius is 1 / 2 = 1/2 inch.
- The average radius is the average of the inside and outside radii, which is (3/8 + 1/2) / 2 = 7/16 inch.
2. Convert the average radius to feet:
- Divide the average radius by 12 (since there are 12 inches in a foot): (7/16) / 12 = 7/16 * 1/12 = 7/192 feet.
3. Calculate the cross-sectional area of the pipe:
- The cross-sectional area of a pipe is given by the formula A = π * r^2, where r is the radius.
- Substituting the average radius, we have A = π * (7/192)^2 square feet.
4. Determine the length of the pipe:
- The length of the pipe is given as 10 feet.
5. Calculate the volume of the pipe:
- The volume of the pipe is given by the formula V = A * L, where A is the cross-sectional area and L is the length.
- Substituting the values, we have V = π * (7/192)^2 * 10 cubic feet.
6. Find the weight of the steel pipe:
- The weight of steel is given as 490 lbs. per cubic foot.
- Multiply the volume of the pipe by the weight of steel per cubic foot: V * 490 lbs.
By following these steps and performing the calculations, you can determine the weight of a ten-foot length of steel pipe based on the provided information.