Dimensional Analysis
I got asked this quiz question and worked it out to be True but the answer is False and I can’t see why?
The nondimensional Froude number 𝐹𝑟=𝑈^2/(𝑔h) where 𝑈 is a speed, h is a length scale and 𝑔
acceleration due to gravity is calculated in a paper with 𝑈 given in feet/sec and h in feet. If 𝑈
were to be calculated in metres/sec and h
in metres, one would get a different answer for 𝐹𝑟? True or False
The nondimensional Froude number 𝐹𝑟=𝑈^2/(𝑔h) where 𝑈 is a speed, h is a length scale and 𝑔
acceleration due to gravity is calculated in a paper with 𝑈 given in feet/sec and h in feet. If 𝑈
were to be calculated in metres/sec and h
in metres, one would get a different answer for 𝐹𝑟? True or False
Original post by Y2_UniMaths
I got asked this quiz question and worked it out to be True but the answer is False and I can’t see why?
The nondimensional Froude number 𝐹𝑟=𝑈^2/(𝑔h) where 𝑈 is a speed, h is a length scale and 𝑔
acceleration due to gravity is calculated in a paper with 𝑈 given in feet/sec and h in feet. If 𝑈
were to be calculated in metres/sec and h
in metres, one would get a different answer for 𝐹𝑟? True or False
The nondimensional Froude number 𝐹𝑟=𝑈^2/(𝑔h) where 𝑈 is a speed, h is a length scale and 𝑔
acceleration due to gravity is calculated in a paper with 𝑈 given in feet/sec and h in feet. If 𝑈
were to be calculated in metres/sec and h
in metres, one would get a different answer for 𝐹𝑟? True or False
What about g ?
Original post by RDKGames
What about g ?
Tbh I did think the only way this could work was if g was also converted as then all multipliers would cancel out. Since the question only stated U and h were measured in feet/sec I presumed g was irrelevant
Original post by Y2_UniMaths
Tbh I did think the only way this could work was if g was also converted as then all multipliers would cancel out. Since the question only stated U and h were measured in feet/sec I presumed g was irrelevant
It’s relevant. You divide speed by time. If your speed is all of a sudden measured in feet/sec then your g should be expressed as feet/sec^2. Otherwise, you are multiplying different units together and that is meaningless.
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