Y=a sin bt
Find dimension of a and b where y=displacement and t=time
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and
Explanation:
Given a function,
where y is the displacement and t is the time.
Displacement is measured in units of length, therefore,
the dimensions of displacement can be written as .
And the dimensions of time can be written as .
Given which is nothing but a trigonometric ratio, has no dimensions and therefore has no dimensions.
so, can be written as
Since has no dimensions, therefore
y is the displacement and has the dimensions .
So, the dimensions of can be written as .
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