Answer:
The average speed of the oil is 1 m/s.
Explanation:
Given that,
Viscosity [tex]\eta= 0.25 N-s/m^2[/tex]
Radius r = 3.0 mm
Length = 1.0 m
Pressure = 200 kPa
We need to calculate the average speed of the oil
Using formula of pressure
[tex]\Delta P=\dfrac{8\pi\eta\rho v}{A}[/tex]
[tex]v=\dfrac{A\times\Delta P}{8\pi\eta\rho}[/tex]
Where, A = area
[tex]\rho[/tex] = density of oil
[tex]\eta[/tex] = viscosity
Put the value into the formula
[tex]v=\dfrac{\pi\times(3.0\times10^{-3})^2\times200\times10^{3}}{8\pi\times0.25\times0.9}[/tex]
[tex]v=1\ m/s[/tex]
Hence, The average speed of the oil is 1 m/s.
