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Hydraulics - Engineering

Q1:

Water displaced by a floating wooden block of density 0.75, 5 m long, 2 m wide and 3 m high, is

A 17.5 m3

B 20.0 m3

C 22.5 m3

D 25 km3.

ANS:C - 22.5 m3

The density of water is approximately 1000kg/m3. Given:

  • Density of the wooden block = 0.75 kg/m30.75kg/m3
  • Length of wooden block (l) = 5 m
  • Width of wooden block (w) = 2 m
  • Height of wooden block (ℎ) = 3 m
First, let's calculate the volume of the wooden block: Volume of wooden block=l×w×h Volume of wooden block=5×2×3=30 m^3Now, according to Archimedes' principle, the volume of water displaced by the wooden block is equal to the volume of the block itself. So, the volume of water displaced is also 30m^3. Therefore, none of the options provided (17.5 m³, 20.0 m³, 22.5 m³, 25 km³) match the correct volume of water displaced by the wooden block in this scenario. It seems there might be a misunderstanding or a typo in the options provided.