a sphere of mass 100grams of radius a=2cm falling vertically through air of density d=1.2kg/m3 attains a steady velocity v=30m/s²,if the returning force on the sphere is given by F=Kax Py Vz ,where k is a non dimensional coefficient, use the method of dimensions to find the value of x ,y and z​

The space between two 15-in.-long concentric cylinders is filled with glycerin (viscosity = 8.5 × 10-3 lb·s/ft2). the inner cylinder has a radius of 1 in. and the gap width between cylinders is 0.1 in. determine (a) the torque and (b) the power required to rotate the inner cylinder at 180 rev/min. the outer cylinder is fixed. assume the velocity distribution in the gap to be linear.