Pressure incr/decr with diameter

In summary, the pressure in both gases and fluids is affected by changes in diameter. As the diameter decreases, the pressure increases and vice versa. This is known as Boyle's Law for gases and the Venturi effect for fluids. In closed systems, a decrease in diameter results in an increase in pressure due to the same amount of substance being compressed into a smaller space. In pipes, a decrease in diameter can also impact the flow of a fluid.
  • #1
MCATPhys
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If a pipe separates into 2 pipes, one with 1 m diameter (pipe A), and the other 0.5 m diameter (pipe B)... which tube has the higher pressure.

From the continuity equation, we know that velocity decreases as area increases. So I know that pipe A has lesser velocity than pipe B.
 
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  • #2
And now using Bernoulli's equation what do you find?
 

1. How does pressure change with diameter?

The pressure in a closed system will increase as the diameter decreases, and decrease as the diameter increases. This is due to the fact that the same amount of a substance is being compressed into a smaller or larger space, resulting in a change in pressure.

2. What is the relationship between pressure and diameter?

The relationship between pressure and diameter is inverse. As one increases, the other will decrease and vice versa. This is known as Boyle's Law, which states that at a constant temperature, the pressure of a gas is inversely proportional to its volume.

3. How does changing the diameter affect pressure in a gas?

Changing the diameter of a gas container will directly affect the pressure of the gas inside. A smaller diameter will result in an increase in pressure, while a larger diameter will result in a decrease in pressure.

4. What is the effect of diameter on pressure in a fluid?

The effect of diameter on pressure in a fluid is similar to that in a gas. As the diameter decreases, the pressure will increase, and as the diameter increases, the pressure will decrease. This is due to the fact that a fluid, like a gas, will also experience a change in pressure as its volume is compressed or expanded.

5. How is pressure affected by the diameter of a pipe?

The pressure in a pipe will increase as the diameter decreases, and decrease as the diameter increases. This is important to consider in plumbing systems, as a change in pipe diameter can impact the pressure and flow of a fluid. This relationship is also known as the Venturi effect, which explains how the pressure in a fluid will decrease as it flows through a narrower section of a pipe, and increase as it flows through a wider section.

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