Question

The equation of continuity is defined as Av = constant; the unit of Av is​

Answer 1

Explanation:

A - area

- velocity V-

unit of Av = (unit of A)(unit of v)

unit of A is m^2

unit of v is m/s

unit of Av is m^2×m/s = m^3/s

the dimensional formula of Av is L^3T^-1]

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Answer 2

Equation of Continuity:

• The Equation of Continuity shows that the product of area of cross-section and the velocity of fluid remains constant.

$\boxed{ \bf \therefore \: A \times v = constant}$

• 'A' is area and 'v' is velocity.

• SI Unit of area is m² (metre square) and SI unit of velocity is m/s (metre/second)

So, unit of A × v will be :

= m² × m/s

= m³/s

= metre³/second .

So, the required SI UNIT is m³/sec.