A force acting tangentially on a layer of fluid moving with velocity gradient over an…

PHYSICS · Single correct · A Level · Physics · Measurements and their errors · Measurements and their errors

Problem

A force

F

acting tangentially on a layer of fluid moving with velocity gradient

\dfrac{dv}{dy}

over an area

A

is expressed as

F = \eta A\, \dfrac{dv}{dy}

. Here

\eta

is the coefficient of viscosity. Find the dimensional formula of

\eta

. (a)

[M L^{-1} T^{-2}]

(b)

[M L^{-1} T^{-1}]

(c)

[M L T^{-1}]

(d)

[M L^{-2} T^{-1}]