Question

water circulates throughout a house in a hot-water heating system. if the water is pumped at a speed of 0.50 m/s through a 4.00 cm diameter pipe in the basement under a pressure of 3.00 atm,

Answer 1

P + 1/2 * rho * v^2 + rho * g * h = constant

where P is the static pressure, rho is the density, v is the velocity, g is the acceleration due to gravity, and h is the height above a reference level.

If we consider a point in the system where the velocity is zero (i.e., the water is at rest), we can simplify the equation to:

P + rho * g * h = constant

Since we know the pressure and velocity at one point in the system, we can use this equation to find the pressure at another point. However, we need to know the height difference between the two points in order to calculate the pressure difference.