# Transcribed Image Text: The time, t, it takes to pour a certain volume of liquid from a cylindrical container depends on

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is possible, determine an equation relating the pouring time and viscosity for the cylinder and liquids used in these tests. If it is not possible, indicate what additional information is needed. H (Ns/m?) t (s) 11 15 17 23 39 53 61 83 107 145 |

Transcribed Image Text: The time, t, it takes to pour a certain volume of liquid from a cylindrical container

depends on several factors, including the viscosity of the liquid. Assume that for very

viscous liquids the time it takes to pour out 2/3 of the initial volume depends on the initial

liquid depth (7), the cylinder diameter (D), the liquid viscosity (i), and the liquid specific

weight (). The data shown in the following table were obtained in the laboratory. For

mm,

these tests, it is known that: 1= 45 mm, D= 67

y= 9.60 kN/m?.

and

(a) Perform a dimensional analysis and based on the data given, determine if variables

used for ts problem appear to be correct;

(b) If it is possible, determine an equation relating the pouring time and viscosity for the

cylinder and liquids used in these tests. If it is not possible, indicate what additional

information is needed.

H (Ns/m?)

t (s)

11

15

17

23

39

53

61

83

107

145

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