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(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: 1 t = Gmåv-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. (c) In b, if m = 220 grams, 1 = 10.2 m, v=2.3 m/s and time is 30.1 ms. Find G?

(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: 1 t = Gmåv-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. (c) In b, if m = 220 grams, 1 = 10.2 m, v=2.3 m/s and time is 30.1 ms. Find G?

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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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: 1 t = Gmav-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. (c) In b, if m = 220 grams, 1= 10.2 m, v=2.3 m/s and time is 30.1 ms. Find G?
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: 1 t = Gmav-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. (c) In b, if m = 220 grams, 1= 10.2 m, v=2.3 m/s and time is 30.1 ms. Find G?
(d) The force, F, of a turbine generator is a function of density p, area A and velocity v. By assuming F = αρ Αθνθ, 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. (e) The dynamic coefficient of viscosityµ (viscosity of a fluid) is found from the formula: µAv F = Fis 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 u and its dimensions using the results of (b) and the equation in c, clearly showing all steps in the dimensional analysis.
Transcribed Image Text:(d) The force, F, of a turbine generator is a function of density p, area A and velocity v. By assuming F = αρ Αθνθ, 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. (e) The dynamic coefficient of viscosityµ (viscosity of a fluid) is found from the formula: µAv F = Fis 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 u 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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