As part of a development programme, scale model tests have been carried out on a new hydraulic machine. The experimental team have presented the following data. Thrust force F (MLT-2), the flow velocity v, viscosity µ (ML-1T-1) and density ρ of the fluid. A typical size of the system, l, is also given. Use dimensional analysis to find the formula that relate F to the other given quantities.

Physics for Scientists and Engineers: Foundations and Connections
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ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter15: Fluids
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Topic: dimensional analysis 

As part of a development programme, scale model tests have been carried out on a new hydraulic machine. The experimental team have presented the following data. Thrust force F (MLT-2), the flow velocity v, viscosity µ (ML-1T-1) and density ρ of the fluid. A typical size of the system, l, is also given. Use dimensional analysis to find the formula that relate F to the other given quantities.

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Force depends on the velocity, viscosity and density and length 

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