Dimension in Physics
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Aug 6, 2023
This video focus on how to calculate dimension of physical quantitites or dimensional analysis
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Hello, in this video I'm going to focus on dimension in physics
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Well, you need to understand that the dimension of physical quantity simply refers to the way it is related, connected or associated to fundamental quantities
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The method of dimensions can be used to find a relationship between quantities when mathematics is too difficult
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Additionally, it has been extensively used in hydrodynamics to show the formula is correct or homogeneous
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For example, we have maths. In dimension, we have what we call... Sorry
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We have what we call mass. We have length and we also have time
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This is mass, this is length, and this is time
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The mass in terms of dimension we express it as capital Leta M It represents the unit kilogram
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Length stands as capital L and it represents the unit meter. Time stands as
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time, sorry, capital T, It turns as capitality and it represents unit seconds
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Now, for instance now, let's assume we are supposed to find the dimension of distance
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We know that distance, the SI unit of distance is measured in meters
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And as you can see here distance which is measured in meters therefore the dimension of distance is L Let assume we want to find the dimension of speed is equal to
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we know that speed is measured in meter far same way. Why because speed is distance over
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time and the dimension of distance is L here which is in meters therefore
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we write L dimension of time is what is T here which is in seconds and this is
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seconds therefore this is T we put this was inside bracket inside
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According to the laws of indices, 8 to the far of minus 1 is equal to 1 over 8
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Therefore it is possible for us now to say that this is going to give us L bracket this T But remember this is 1 over t because this is the same thing as l times one over t and this
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constants as t to the power of t to the power of t therefore minus one therefore we
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have l t to the power of minus one therefore we have l t to the power of minus one therefore
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Therefore, this is the dimension of speed. You can go ahead and find out the dimension of acceleration
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We know that acceleration is in meter per second square. Therefore, this is going to be meter is measured in lead bracket and second is measured
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in time or foot time and square. This is going to give us L
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t d d dvara of sorry we have two here because of this therefore it will become an
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inverse therefore we have L t d d dv minus 2 so we can go on and on to find the
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dimension of other materials
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