Force Exerted by Pressure in a Cylindrical Tank
What force is exerted against each end of a cylindrical tank with a diameter of 1m at a pressure of 350 kPa?
a) 175 kN b) 87.5 kN c) 350 kN d) 700 kN
Final answer: Using the formula for force due to pressure (force equals area times pressure), the force exerted by a 350 kPa pressure inside a 1 m diameter cylindrical tank on each of its ends is found to be approximately 275 kN.
Answer:
The force exerted against each end of the cylindrical tank at a pressure of 350 kPa is approximately 275 kN.
Fluid pressure plays a crucial role in determining the force exerted on the surfaces it acts upon. In this scenario, the pressure of 350 kPa inside a cylindrical tank with a diameter of 1m results in a force of 275 kN against each end of the tank. This force is calculated using the formula F = A * P, where force equals area times pressure.
Given the pressure of 350 kPa and the diameter of 1m, the radius of the tank can be calculated as 0.5m. The area of the end of the cylindrical tank is then determined using the formula for the area of a circle, resulting in 0.785 m². Multiplying the area by the pressure gives us the force exerted, which amounts to approximately 275 kN.
It's important to note that the force exerted by pressure is directly proportional to the pressure and the area it acts upon. Understanding the concept of force due to pressure is essential in various fields, including physics and engineering.