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The s.I unit of R so that the equation velocity= R × density S dimensionally correct R is a constant

User Goric
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1 Answer

11 votes

Answer:

R = m⁴/kg . s

Step-by-step explanation:

In this case, the best way to solve this is working with the units in the expression.

The units of velocity (V) are m/s

The units of density (d) are kg/m³

And R is a constant

If the expression is:

V = R * d

Replacing the units and solving for R we have

m/s = kg/m³ * R

m * m³ / s = kg * R

R = m * m³ / kg . s

R = m⁴ / kg . s

This should be the units of R

Hope this helps

User Nick Maxwell
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5.0k points