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The viscosity of a certain fluid is \(5 \times 10^{-4}\) pcise. Determine its viscosity in both SI and BG units.

Short Answer

Expert verified
The viscosity of the fluid in SI units is \(5 \times 10^{-5} \) Pa.s and in BG units is \(3.36 \times 10^{-7}\) lb/ft/s.

Step by step solution

01

Converting viscosity from poise (P) to Pascal second (Pa.s)

1 poise (P) is equivalent to 0.1 Pascal second (Pa.s). So, it can be converted by multiplying the viscosity in poise by 0.1. So, the viscosity will be \(5 \times 10^{-4} \) * 0.1 = \(5 \times 10^{-5} \) Pa.s.
02

Converting viscosity from poise (P) to British Gravitational (BG) units

1 poise (P) is equivalent to 6.72 * 10^-4 lb/ft/s. So, it can be converted by multiplying the viscosity in poise by 6.72 * 10^-4. So, the viscosity will be \(5 \times 10^{-4} \) * 6.72 * \(10^-4\) = \(3.36 \times 10^{-7}\) lb/ft/s.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Poise to Pascal Second Conversion
Viscosity is an important property of fluids that dictates how they resist flow. Sometimes, we need to convert between different units of viscosity, such as from poise to Pascal seconds. Poise is a unit of dynamic viscosity in the centimeter-gram-second (CGS) system, while the Pascal second is used in the International System of Units (SI). To convert from poise to Pascal seconds, you use the conversion factor:
  • 1 poise = 0.1 Pascal second (Pa·s)
To convert a given viscosity from poise to Pascal seconds, simply multiply the value in poise by 0.1. For example, if you have a viscosity of \(5 \times 10^{-4}\) poise, you convert it by multiplying:\[5 \times 10^{-4} \times 0.1 = 5 \times 10^{-5} \, \text{Pa}\cdot\text{s}\]In practice, this conversion allows engineers and scientists to use measurements that are compatible with the SI system, which is widely used worldwide for scientific computations.
SI and BG Units
When studying fluid dynamics, it's common to encounter different units depending on geographic location or industrial standards. SI units (International System of Units) are used globally and are easy for scientists because they are practice based on powers of ten. In fluid dynamics, viscosity is measured in Pascal seconds in the SI system.
British Gravitational (BG) units, however, are used primarily in engineering fields within the United States. In these units, viscosity is measured in pounds-force per foot-second (lb/ft/s). To convert from poise to BG units, you multiply by a given factor:
  • 1 poise = \(6.72 \times 10^{-4}\) lb/ft/s
Therefore, converting a viscosity value of \(5 \times 10^{-4}\) poise into BG units involves the calculation:\[5 \times 10^{-4} \times 6.72 \times 10^{-4} = 3.36 \times 10^{-7} \text{ lb/ft/s}\]Understanding these conversions is crucial as it helps in translating scientific research from one system of measurements to another effectively.
Fluid Dynamics
Fluid dynamics is the branch of physics that studies the movement of liquids and gases. It's a vital part of understanding how different materials behave when subjected to forces, including how they flow and deform. Viscosity plays a significant role in fluid dynamics because it determines a fluid's internal resistance to flow.
Viscous forces arise due to interactions between molecules within the liquid or gas. In everyday terms, it describes a fluid's "thickness"—the higher the viscosity, the thicker the fluid. Honey, for example, has a higher viscosity than water. In fluid dynamics, understanding and calculating viscosity is key to designing systems involving fluid transport, such as pipelines or air conditioning systems.
By mastering the conversion of viscosity units, engineers and students can apply theoretical knowledge to real-world problems, ensuring their calculations reflect the environment and system constraints accurately. This involves effectively switching between units like poise, Pascal seconds, and BG units to suit the needs of a particular project or study.

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Most popular questions from this chapter

A liquid has a specific weight of \(59 \mathrm{lb} / \mathrm{ft}^{3}\) and a dynamic viscosity of \(2.75 \mathrm{lb} \cdot \mathrm{s} / \mathrm{ft}^{2}\). Determine its kinematic viscosity.

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