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A man walking briskly in rain …

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A man walking briskly in rain with speed V must slant his umbrella for word making an angle theta with the vertical student derives the following relation between theta and we is to 10 theta is equal to b and check that the relation has a correct limit as we is equal to zero theta is zero as accepted do you think this relation can be correct if not get the correct relation
  • 1 answers

Gaurav Seth 3 years, 9 months ago

The relation tan  = v is wrong because the dimensions on both the sides of the equation are not equal.

Dimension of right hand side is [MoL1T-1

Dimension of Left hand side quantity is [MoLoTo

Hence, the equation is wrong. 

To make the relation dimensionally correct, R.H.S should be divided by the speed of the rainfall. 

That is, 

, is a dimensionally correct relation. 

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