Pipes and Cisterns: Tank Filling and Empty Logic A pipe and a cistern are two essential tools for managing the flow of water. They work together to fill a ta...
A pipe and a cistern are two essential tools for managing the flow of water. They work together to fill a tank from a source and empty the tank into a container.
Tank Filling Logic:
The pipe continuously fills the tank until the water level reaches the maximum level marked on the tank.
Once the tank is full, the flow stops, and the water level remains constant.
If the pipe is turned on continuously, the water level in the tank will keep rising, eventually overflowing.
Tank Emptying Logic:
The pipe continuously empties the tank until the water level reaches the minimum level marked on the tank.
Once the tank is empty, the flow stops, and the water level remains constant.
If the pipe is turned off when the tank is full, the water level will gradually decrease, eventually emptying the tank completely.
Examples:
Imagine a pipe connected to a water tank and a bucket. As the water flows through the pipe, the bucket fills up. When the pipe is turned off, the water will stop flowing, and the bucket will remain full to the level it started at.
Imagine a tank connected to a hose. As water flows through the hose, it empties the tank into the container. When the hose is turned off, the water will stop flowing, and the tank will gradually empty until it is empty.
By understanding the concepts of tank filling and emptying, we can predict the behavior of these systems and design various applications that utilize them