Question

find the a , b,c dimensional analysis =f =at/c+bt^2

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Answer 1

Answer:

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●For example, if you have an equation AB=C+DE, the dimensions of AB, C and DE should be equal. Now we know from our discussion that F, at, and bt2 should have the same dimension. Similarly, for b, The dimension of bt2 should also be [M]1[L]1[T]−2.

I hope it helps little bit...!!

Answer 2

To solve for three variables,

We atleast need 3 equations.

But here, You can only get 2.

a and c can't be solved separately.

Explanation:

F = at/c + bt²

F = [MLT‐²] (Force)

Therefore, [bt²] = [MLT‐²]

bT² = MLT‐²

b = [MLT‐⁴]

Similarly,

at/c = [MLT‐²]

a/c = [MLT‐³]