if velocity v, acceleration A and force For are chosen as fundamental quantities , then the dimensional formula of angular momentum in terms of v,A,F would be what?
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Given that,
The velocity v, acceleration A and force For are chosen as fundamental quantities.
To find,
The dimensional formula of angular momentum in terms of v,A,F
Solution,
According to question,
or
Putting the dimensional formula of L, v, A and F such that :
On comparing both sides of the above formula as :
z = 1 ........(1)
x + y + z = 2 ......(2)
-x -2y -2z = -1 ......(3)
On solving equation (1), (2) and (3) we get :
x = 3
y = -2
and z = 1
So, the dimensional formula of angular momentum is :
Hence, this is the required solution.
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Dimensional analysis
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