Question

Find the dimensions of coefficient of viscosity and its SI units ?

Answer 1

Η=F×r÷Av

f=tangential force,r=distance between the layer , v=velocity

dimensional formula for force = M¹ L¹T⁻²

dimensional formula for area = M⁰L²T⁰

dimensional formula for distance = M⁰L¹T⁰

dimensional formula for velocity = M⁰L¹T⁻¹

η= M¹L¹T⁻²ₓ M⁰L¹T⁰÷M⁰L²T⁰ₓ M⁰L¹T⁻¹=M¹L⁻¹T⁻¹

dimensional formula for coefficient of viscosity =M¹L⁻¹T⁻¹

 SI unit of coefficient viscosityη=pascal second