what is the magnitude of the force exrted on the side and circular base of the tank

Now, we can calculate the pressure on the triangular gate: Using the sine function, we can calculate the depth of the triangular gate: Since the tank is symmetrical, we can consider the right triangle formed by the height of the tank (30 in), the height of the triangular gate (20 in), and the angle (30°).

The depth of the triangular gate can be calculated using trigonometry. Given that the water density (p) is 1.94 slug/ft3 and the water specific weight (γ) is 62.4 lb/ft3, we can calculate the pressure at the depth of the triangular gate. The pressure at a given depth in a fluid can be calculated using the equation: Let us calculate the pressure exerted on the bottom by the weight of the fluid.A) To calculate the magnitude of the resultant force on the indicated area (triangle), we need to use the equation:įirst, we need to calculate the pressure on the triangular gate. Its bottom supports the weight of the fluid in it. The difference is that water is much denser than air, about 775 times as dense.Ĭonsider the container in Figure 1. You may notice an air pressure change on an elevator ride that transports you many stories, but you need only dive a meter or so below the surface of a pool to feel a pressure increase. In this case, the pressure being exerted upon you is a result of both the weight of water above you and that of the atmosphere above you. Under water, the pressure exerted on you increases with increasing depth. For the steel tank of Problem 2.11, determine by trigonometry. This pressure is reduced as you climb up in altitude and the weight of air above you decreases. magnitude of the force P so that the resultant force exerted on the trolley is vertical. At the Earth’s surface, the air pressure exerted on you is a result of the weight of air above you. If your ears have ever popped on a plane flight or ached during a deep dive in a swimming pool, you have experienced the effect of depth on pressure in a fluid.

Calculate density given pressure and altitude.

Explain the variation of pressure with depth in a fluid.

What is the magnitude of the force exrted on the side and circular base of the tank