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A swimmer moves across the Cauvery river...

A swimmer moves across the Cauvery river of 750 m wide. The velocity of the swimmer relative to water `(vec(v )_(sw)) " is " 1.5ms^(-1)` and directed perpendicular to the water current. The velocity of water relative to the bank `(vec(v )_(wb)) " is " 1 ms^(-1)`. Calculate the
velocity of the swimmer with respect to the bank of the river `(vec(v)_(sb))`.

Text Solution

Verified by Experts

By the principle of homogeneity, `a//V^(2)` is of the dimensions of pressure  and b is of the dimensions of volume.
[a] = [pressure] `[V^(2)]= [ML^(-1) T^(-2)] [L^(6)]= [ML^(5)T^(-2)]`
[b] `=[V]= L^(3)`
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