Question 1. (a) Define (i) Dimension (ii) Units (iii) fundamental units (iv) derived units (b) Carry out the following conversions: (i) How many gal/min correspond to 1.00ft3/s ? (ii) 2L/s to ft3/ day (iii) 60.0mi/h to ft/s (iv) 50.0lb/in2 to kg/m2 (c) The time tf requires for fluid climbing in separator depends on the mass m of the separator, height h of the separator and acceleration g due to gravity. Deduce by dimensional analysis that the relationship between time and mass, height and acceler ation due to gravity is tf=cg, Given the dimensions of time t=T, mass, m=M, height h=L, and acceleration due to gravity g=LT2