Engineering, 11.09.2019 21:30 kadinmorgan
What are the units or dimensions of the shear rate dv/dy (english units)? then, what are the dimensions of the shear stress τ= μ*dv/dy? then, by dimensional analysis, show that the shear stress has the same units as momentum divided by (area*time).what are the unit or dimensions of viscosity?
Answers: 3
![[T^{-1}]](/tpl/images/0228/1705/b004b.png)
.![[ML^{-1}T^{-2}]](/tpl/images/0228/1705/4abc1.png)
![[LT^{-1}]](/tpl/images/0228/1705/aba7f.png)
and the dimensions of distance 'y' are ![[L]](/tpl/images/0228/1705/174ef.png)
, thus the dimensions of 
become![\frac{[LT^{-1}]}{[L]}=[T^{-1}]](/tpl/images/0228/1705/481ca.png)
and hence the units become 
.
are ![[ML^{-1}T^{-1}]](/tpl/images/0228/1705/369d5.png)
thus the dimensions of shear stress can be obtained from the given formula as ![[\tau ]=[ML^{-1}T^{-1}]\times [T^{-1}]\\\\[\tau ]=[ML^{-1}T^{-2}]](/tpl/images/0228/1705/7b51d.png)
![[MLT^{-1}]](/tpl/images/0228/1705/28f40.png)
are ![[L^{2}T]](/tpl/images/0228/1705/ecb8e.png)
![\frac{Moumentum}{Area\times time}=\frac{MLT^{-1}}{L^{2}T}=[MLT^{-2}]](/tpl/images/0228/1705/6bec4.png)
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What are the units or dimensions of the shear rate dv/dy (english units)? then, what are the dimens...
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