Measure of its resistance to flow


Discussion:

Q: The viscosity of a liquid is a measure of its resistance to flow. Its value can be found experimentally by putting a quantity of liquid between two moving parallel plates and measuring the friction force on one plate. In such an experiment, values of the coefficient of viscosity of a lubricating oil were found at different temperatures .

20 40 60 80 100

0.0986 0.0241 0.0110 0.0055 0.0036

a) Complete the following table with the appropriate values of loge(T), and loge(μ), working to 4 decimal places.

loge(T/°C)

2.9957

 

 

 

 

loge(μ/kgm-1s-1)

-2.3167

 

 

 

 

b) It is thought that μ and T are related by an equation of the form

μ= ATm

Take natural logarithms of this equation and hence show how your graph can be used to estimate the values of A and m.

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Mathematics: Measure of its resistance to flow
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