Turpentine oil is flowing thorough a tube of length l and radius r the pressure difference between the two - Physics - Units and Measurements

Question

Turpentine oil is flowing thorough a tube of length l and radius r
the pressure difference between the two ends of the tube is P the
viscocity of oil is given by n=P(r2-v2)/4vl,where vis the velocity
of oil at a difference x from the axis of the tube find the
dimensions of eeta

Vipra Mishra · Accepted Answer

Dear Student

The dimension of p is [ML-1 T-2]  The dimension of r is [L]  The dimension of v is [LT-1]  The dimension of I is [L]  Therefore,  the dimension of η will be  η= [P][r2-x2]4vl  =[ML-1 T-2] L2 [LT-1]  [L]  Soη=  [ML-1 T-1] 
Regards

Turpentine oil is flowing thorough a tube of length l and radius r. the pressure difference between the two ends of the tube is P. the viscocity of oil is given by n=P(r2-v2)/4vl,where vis the velocity of oil at a difference x from the axis of the tube. find the dimensions of eeta