Final answer:
To find the flow speed in the square tube, we can use the equation Flow rate = speed × cross-sectional area. The flow speed in the circular tube can be determined using the same equation but with the cross-sectional area calculated using the formula for a circle. The pressure difference between the square tube and the circular tube can be calculated using Bernoulli's equation.
Step-by-step explanation:
To determine the flow speed in the square tube, we can use the equation:
Flow rate = speed × cross-sectional area
The cross-sectional area of a square tube is equal to the side length squared. So for the square tube with a side length of 1.0 cm, the cross-sectional area is 1.0 cm².
Given a flow rate of 0.35 L/s, we can convert it to cm³/s by multiplying by 1000 (since 1 L = 1000 cm³).
Therefore, the flow speed in the square tube is:
Flow speed = Flow rate / Cross-sectional area = (0.35 cm³/s) / (1.0 cm²)
For the circular tube, the cross-sectional area is given by the formula:
Cross-sectional area = π × (diameter/2)²
Substituting the values, we get the cross-sectional area of the circular tube.
The flow speed in the circular tube is then:
Flow speed = Flow rate / Cross-sectional area = (0.35 cm³/s) / (formula for cross-sectional area of circular tube)
To find the pressure difference between the square tube and the circular tube, we can use Bernoulli's equation:
Pressure difference = (1/2) × (density of the fluid) × ((flow speed in circular tube)² - (flow speed in square tube)²)