00:01
Hello students in this question the volume flow rate of the fluid q it is represented by under root p integration from 0 to capital h capital l x to the power 1 by 2 d x where l is the channel width and x is the coordinate x coordinate okay and p we have to determine its dimension its unit in the si system okay so, this q, this can be written as under root p and this l is constant.
00:32
So after taking the integration, we will get that x to the power 3x2 divided by 3 by 2 and from unit 0 to h.
00:40
So we will get from here under root p l, h to the power 3 by 2 and divided by 2 this 3 by 2 can be written as 2 by 3.
00:52
So, the q has unit because it is volume flow rate, so it will have a unit meter cube per second, this is equals to under root p, multiplied by this l is a length, okay? so this will have a unit meter and this h is also a length unit, so m to the power 3 by 2.
01:11
And this is a constant value, so it will not have any unit...