A cement company is moving lime using an Archimedes screw system. The density of the lime p=2700 kg/m^3. The available area inside the screw system A=0.01 m^2 and the screw advance speed v=0.5 m/s. What is the mass flow rate?
every second a volume of .5 m * .01 m^2
= .005 m^3 comes out of the pipe.
2700 kg/m^3 * .005 m^3/second = 13.5 kg/s
thank you!
To calculate the mass flow rate of the lime being moved by the Archimedes screw system, we need to multiply the density of the lime (p) by the cross-sectional area of the screw system (A) and the advance speed of the screw (v).
The formula for mass flow rate (ṁ) is given by:
ṁ = p * A * v
Let's substitute the given values:
ṁ = 2700 kg/m^3 * 0.01 m^2 * 0.5 m/s
Simplifying this equation:
ṁ = 13.5 kg/s
Therefore, the mass flow rate of the lime being moved by the Archimedes screw system is 13.5 kg/s.