A length of metal pipe has a circumference of 2.5 inches. the pipe is 1/16 inches thick. a gas fitter needs to know the inside diameter of the pipe to calculate the gas pressure. What is the total diameter of pipe including metal? how much of the diameter is metal? what is the inside diameter of the pipe?
the outside diameter d = 2.5/3.14 = 0.796
So, the inside diameter is 0.796-0.0625 = 0.734
To find the total diameter of the pipe including the metal, you need to consider both the inside and outside diameter. Here's how you can calculate it:
1. First, find the outside circumference of the pipe. Since the circumference is given as 2.5 inches, the outside circumference of the pipe is also 2.5 inches.
2. Use the formula for the circumference of a circle: Circumference = π * Diameter. Rearrange the formula to solve for the diameter: Diameter = Circumference / π.
Outside Diameter (including metal) = Outside Circumference / π.
= 2.5 inches / π.
≈ 0.796 inches (rounded to three decimal places).
So, the total diameter of the pipe including the metal is approximately 0.796 inches.
To find out how much of the diameter is metal, subtract the thickness of the pipe from the total diameter:
Metal Thickness = 1/16 inches = 0.0625 inches.
Metal Diameter = Total Diameter - 2 * Metal Thickness.
= 0.796 inches - 2 * 0.0625 inches.
≈ 0.671 inches (rounded to three decimal places).
Therefore, approximately 0.671 inches of the total diameter is metal.
To calculate the inside diameter of the pipe, subtract the metal thickness from the metal diameter:
Inside Diameter = Metal Diameter - 2 * Metal Thickness.
= 0.671 inches - 2 * 0.0625 inches.
≈ 0.546 inches (rounded to three decimal places).
So, approximately 0.546 inches is the inside diameter of the pipe.
To summarize:
- The total diameter of the pipe (including metal) is approximately 0.796 inches.
- The amount of the diameter that is made up of metal is approximately 0.671 inches.
- The inside diameter of the pipe is approximately 0.546 inches.