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The cylindrical container shown in the figure has a radius of 1.00 m and contains motor oi...

The cylindrical container shown in the figure has a radius of 1.00 m and contains motor oil with a viscosity of 0.300 Pa s and a density of 670. kg m-3. Oil flows out of the 20.0 cm long, 0.200 cm diameter tube at the bottom of the container. How much oil flows out of the tube in a period of 10.0 s if the container is originally filled to a height of 0.500 m?

Step-by-Step Solution

Solution 1
Step #1 of 6

THINK:

Calculate the volume of the oil by using volume flow rate equation for viscous fluids

Step #2 of 6

RESEARCH:

For viscous fluids, the volume flow rate through a cylindrical pipe of radius and length is

Here is the pressure difference between two ends of the pipe

Step #3 of 6

SIMPLIFY:

Pressure of the oil at the bottom of the tank is

…… (1)

For viscous fluids, the volume flow rate through a cylindrical pipe of radius and length is

…… (2)

Step #4 of 6

CALCULATE:

Given

The radius of the cylindrical container,

Density of oil,

Viscosity of oil,

Step #5 of 6

Diameter of the bottom pipe,

Then the radius of the bottom pipe,

Length of the pipe,

Time taken,

Height of the oil in the tank,

Step #6 of 6

From equation (2) volume flow rate through a cylindrical pipe is

Volume of the oil flow out of the container is

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