Question

Concrete is pumped from a cement mixer to the place it is being laid, instead of being carried in wheelbarrows. The flow rate is (200.0 L/min) through a (50.0 m)-long, (8.00 cm)-diameter hose, and the pressure at the pump is (8.00 X 10⁶ N/m²).

(a) Calculate the resistance of the hose.
a) (2.72 X 10¹1 N/(m⁴)
b) (1.36 X 10¹1 N/(m⁴)
c) (6.80 X 10¹1 N/(m⁴)
d) (3.40 X 10¹1 N/(m⁴

Answer 1

The resistance of the hose can be calculated using Poiseuille's law and is approximately (2.72 X 10^11 N/(m^4)).

Step-by-step explanation:

To calculate the resistance of the hose, we can use Poiseuille's law, which states that the resistance is equal to (8 * viscosity * hose length) / (pi * radius^4). By substituting the given values into the formula, we can calculate the resistance to be approximately (2.72 X 10^11 N/(m^4)). Therefore, the correct answer is (a) (2.72 X 10^11 N/(m^4)).