(e) The dynamic coefficient of viscosity ? (viscosity of a fluid) is found from the formula: ? = ??? ? F is the force exerted on the liquid, A is the cross sectional area of the path, v is the fluid velocity and l is the distance travelled by the fluid. Using dimensional analysis techniques, determine the equation that governs ? and its dimensions using the results of (b) and the equation in c, clearly showing all steps in the dimensional analysis
(e) The dynamic coefficient of viscosity ? (viscosity of a fluid) is found from the formula: ? = ??? ? F is the force exerted on the liquid, A is the cross sectional area of the path, v is the fluid velocity and l is the distance travelled by the fluid. Using dimensional analysis techniques, determine the equation that governs ? and its dimensions using the results of (b) and the equation in c, clearly showing all steps in the dimensional analysis
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(e) The dynamic coefficient of viscosity ? (viscosity of a fluid) is found from the formula:
? =
???
?
F is the force exerted on the liquid, A is the cross sectional area of the path, v is the fluid velocity
and l is the distance travelled by the fluid. Using dimensional analysis techniques, determine the
equation that governs ? and its dimensions using the results of (b) and the equation in c, clearly
showing all steps in the dimensional analysis
Transcribed Image Text:Task 1
(a) A low voltage transformer manufacturing line has a purchase order of 1700 piece. If the
manufacturing line production rate is 22 piece per minute use dimensional analysis
techniques to determine the time taken to produce the requested transformers to the
nearest minute in hours and minutes.
(b) Assume that the production time of a transformer can be given by the following formula:
t = Gmsv-312
Where m is the mass of the transformer in kg, v is the velocity of the manufacturing line
in m/s and l is the length of the production line in meters. Find the dimensions of G.
() In b, if m = 220 grams, 1 = 10.2 m, v=2.3 m/s and time is 30.1 ms. Find G?
just solve (d)and(e)
| (d) The force, F, of a turbine generator is a function of density p, area A and velocity v. By
assuming
F = apªA®v€
and dimensional homogeneity, find a, b and c and express F in terms of p, A and v. (a, a, b and c
are real numbers). Make the following assumptions to determine the dimensionless parameter:
F = 1 k N if the scalar values of pAv= 1milli.
The dynamic coefficient of viscosity µ (viscosity of a fluid) is found from the formula:
µAv
F=T
Fis the force exerted on the liquid, A is the cross sectional area of the path, v is the fluid velocity
and I is the distance travelled by the fluid. Using dimensional analysis techniques, determine the
equation that governs u and its dimensions using the results of (d) and the equation in c, clearly
showing all steps in the dimensional analysis.
Transcribed Image Text:The dynamic coefficient of viscosity u (viscosity of a fluid) is found from the formula:
Fis the force exerted on the liquid, A is the cross sectional area of the path, v is the fluid velocity
and I is the distance travelled by the fluid. Using dimensional analysis techniques, determine the
equation that governs u and its dimensions using the results of (d) and the equation in c, clearly
showing all steps in the dimensional analysis.
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