Given a Greenshields linear density-speed relationship of us = 71.2 - 0.584k a. derive the flow-speed relationship equation b. Derive the flow-density relationship equation c. Find the mean free flow speed d. Find the jam density e.Find the capacity

QUESTION 5 Q2. Two water pipelines converge into one line of 2.5m diameter. a). What is the velocity of water flowing in the converged line if the discharges and diameters of the converging lines are 1 m3/s with an 800mm pipe and 0.5 m³/s with a 500mm pipe? (m/s) b). What is the mass flowrate under these conditions? (kg/s) c). What percentage change in velocity would there be in the converged pipe if the diameter of the pipe was reduced by 20%? Take the density of water to be 103 kg/m3. Part a). is denoted Q5, part b). as Q6 and part c). as Q7