A fluid with a viscosity of 0.1 Pa·s flows through a pipe of radius 0.05 m. What

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Question: A fluid with a viscosity of 0.1 Pa·s flows through a pipe of radius 0.05 m. What is the shear stress if the flow velocity is 1 m/s?

Options:

Correct Answer: 0.2 Pa

Solution:

Shear stress = viscosity × (velocity/radius) = 0.1 × (1/0.05) = 2 Pa.

A fluid with a viscosity of 0.1 Pa·s flows through a pipe of radius 0.05 m. What is the shear stress if the flow velocity is 1 m/s?

A fluid with a viscosity of 0.1 Pa·s flows through a pipe of radius 0.05 m. What is the shear stress if the flow velocity is 1 m/s?

Step 1: Identify the given values. The viscosity of the fluid is 0.1 Pa·s, the radius of the pipe is 0.05 m, and the flow velocity is 1 m/s.
Step 2: Write down the formula for shear stress. The formula is: Shear stress = viscosity × (velocity / radius).
Step 3: Substitute the values into the formula. Replace viscosity with 0.1, velocity with 1, and radius with 0.05.
Step 4: Calculate the value inside the parentheses first. Divide the velocity (1 m/s) by the radius (0.05 m): 1 / 0.05 = 20.
Step 5: Multiply the viscosity (0.1) by the result from Step 4 (20): 0.1 × 20 = 2.
Step 6: State the final answer. The shear stress is 2 Pa.

Viscosity – A measure of a fluid's resistance to flow, affecting how shear stress is calculated.
Shear Stress – The force per unit area exerted by the fluid as it flows, calculated using the formula: shear stress = viscosity × (velocity/radius).
Flow Velocity – The speed at which the fluid is moving, which influences the shear stress in the pipe.
Pipe Radius – The radius of the pipe through which the fluid flows, which is a critical factor in determining shear stress.