27. To find the diameter of the bolt at the root of the threads, we need to subtract twice the thread depth from the original diameter:
Diameter at the root of the threads = Original diameter - 2 * Thread depth
Diameter at the root of the threads = 1 3/8 inches - 2 * 0.13 inches
Performing the calculations:
Diameter at the root of the threads = 1.375 inches - 2 * 0.13 inches
Diameter at the root of the threads = 1.375 inches - 0.26 inches
Diameter at the root of the threads = 1.115 inches
Therefore, the diameter of the bolt at the root of the threads is approximately 1.115 inches.
28. To determine the volume of water contained in 180 lbs, we need to convert the weight to the corresponding volume using the density of water. The density of water is approximately 62.4 lbs/ft³.
Volume = Weight / Density
Volume = 180 lbs / 62.4 lbs/ft³
Performing the calculations:
Volume = 2.8846 ft³
Therefore, 180 lbs of water is equivalent to approximately 2.8846 cubic feet.
29. The distance between the edges of two holes can be calculated by adding the diameter of each hole to the distance between their centers:
Distance between the edges of the holes = Diameter of each hole + Distance between centers
Distance between the edges of the holes = 0.875 inches + 4 inches
Performing the calculations:
Distance between the edges of the holes = 0.875 inches + 4 inches
Distance between the edges of the holes = 4.875 inches
Therefore, the distance between the edges of the two holes is 4.875 inches.
30. To find the outside diameter of a pipe with a given wall thickness and inside diameter, we need to add twice the wall thickness to the inside diameter:
Outside diameter = Inside diameter + 2 * Wall thickness
Outside diameter = 13.250 inches + 2 * 0.375 inches
Performing the calculations:
Outside diameter = 13.250 inches + 2 * 0.375 inches
Outside diameter = 13.250 inches + 0.750 inches
Outside diameter = 14.000 inches
Therefore, the outside diameter of the pipe is 14.000 inches.