I posted this question twice , please solve this problem I just need answers for a, b, c

a) Derive a set of dimensionless variables for relating the angular velocity of rolling to the other variables. b) We have available microspheres of radius 20m, each of which will adhere to ta plastic substrate with a force Fm=106 dynes. We also have available a fluid with exactly the same density and viscosity of blood. We plan to run a series of experiments in a plastic tube of radius Rm to determine how the rolling rate of the microsphere varies with the flow rate (Qm). Determine what constraints, if any, need to be put on these experimental variables. c) In the model experiment, we find that, for the range of flow rates investigated, m varies linearly with Qm : m=0+aQm0=0.001rev/s=2103rad/sa=10rev/cm3=20rad/cm3 Determine the force (F) that makes the leukocyte adhere to the vessel wall. 0. When leukocytes adhere to the endothelium of a blood vessel, they undergo an interesting rolling motion. This is caused by the flow of blood over the leukocyte and the force (F) binding the leukocyte to the endothelium. We would like to determine this force. Consider a blood vessel of radius R=100m with a flow of blood Q=0.2104cm3/s passing through the vessel. When viewed under a microscope, a leukocyte of radius r=5m is seen to be rolling along the wall at a rotational velocity of =0.05revolutions/s=0.314rad/s. The density of blood is =1.05g/cm3 and its viscosity is =0.04g/cm.s. We wish to build a model system that would allow us to determine what the binding force of a leukocyte to the endothelium might be. We will look at the rolling of a latex microsphere along the wall of a round tube (of radius Rm ). This microsphere will be made to adhere to the wall of the round tube with a known force Fm