ICSE Class 9 Answered
A metal plate of length 1.5 m and width 0.2 m is placed 40 cm below alcohol of density 800 kg m-3. If the atmospheric pressure is 80 cm of mercury, calculate the force experienced by the plate. [ Density of mercury is 13,600 kg m-3 and g= 10 ms-2].
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
Expert Answer
Surface area (A) of plate= 1.5 m x 0.2m = 0.3 m2
Pressure due to air only= 
x 
x g=
= 108,800 Pa.
Pressure due to alcohol only = 
x 
x g = 0.40m x 800 kg m-3 x 10 ms-2 = 3200 Pa
Therefore total pressure (P) acting on plate = (108,800 +3200) = 1,12,000 Pa.
Therefore force acting on plate = P x A = 1,12,000 x 0.3 = 33,600 N.
Answered by | 04 Jun, 2014, 03:23: PM
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