Question

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#physics
#Chapter | Units and Dimensions

|Question|

Which variable couldn't influence the velocity if it is proposed that the velocity depends on diameter?

(a) Length

(b) Gravity

(c) Rotational speed

(d) Viscosity

(*hint: use Dimensional Analysis)
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Answer 1

EXPLANATION:

For the expression of dimensional formulae for length, gravity, rotational speed and viscosity:

[L] = L

[g] = LT⁻¹

[ω] = [T⁻¹]

[μ] = [ML⁻¹T⁻¹]

Now for the kinematic viscosity:

[ν] = μ/ ρ

    = [ML⁻¹T⁻¹] / [M L⁻³]

    = [L²T⁻¹]

Viscosity can be written as a function of length, gravity, and rotational speed:

ν =f * gl / ω

So expressing veloicty as a function of given terms , viscosity can be sustitued so it will not effect veloicty.

hope it will help uh...

Answer 2

Explanation:

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