A dam has been constructed of a large cylindrical pipe 10ft in diameter and 3ft long. Calculate the net vertical and horizontal components of the fluid(water) force on this dam.

To calculate the net vertical and horizontal components of the fluid force on the dam, we can break down the problem into two separate components: the vertical component and the horizontal component.

1. Vertical Component:
To calculate the vertical component of the fluid force, we need to find the weight of the fluid above the dam. Since the dam is cylindrical, we can assume that the water pressure is constant throughout the height of the dam.

The weight of the fluid is given by the equation:

Weight = density * volume * g

Where:
- density is the density of water (which is approximately 62.4 lb/ft³)
- volume is the volume of the fluid (which is equal to the volume of a cylinder)
- g is the acceleration due to gravity (approximately 32.2 ft/s²)

The volume of a cylinder is given by the equation:

Volume = π * r² * h

Where:
- π is a mathematical constant, approximately equal to 3.14159
- r is the radius of the cylinder (half of the diameter)
- h is the height of the dam

In this case, the radius is 10ft/2 = 5ft, and the height is 3ft.

Now we can calculate the weight:

Weight = density * volume * g
Weight = 62.4 * π * (5²) * 3 * 32.2 lb

2. Horizontal Component:
The horizontal component of the fluid force on the dam is zero. This is because the dam is perfectly cylindrical, and the pressure is exerted uniformly in all directions, resulting in no net force in the horizontal direction. Therefore, the horizontal component is 0 lb.

So, to summarize:
- The net vertical component of the fluid force on the dam is equal to the weight of the fluid above the dam, which can be calculated using the equation Weight = density * volume * g.
- The net horizontal component of the fluid force on the dam is 0 lb.