why x/2 ???????
i simply dont understand why now i am not able to solve this one............
i id it a few months back but now i cant get it........
plzzzzzzzz help me..its urgent...............
a container of square base (2*2 m) height 4m is filled upto 3m is accelrated horizontally.
a)If acc. is 4m/s2 ,find liquid heights at front and rear.
b)Find accelration at which liquid is just touching the base of front assuming container is
open.Also fond spilled volume
c)If accelration is 10m/s2 and container is colosed from top,find pressure at top and bottom of
rear face.
ans
a)0.1m
b)10m/s2 ,4
c)14*10^4
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UP 0 DOWN 0 0 10
10 Answers
slope is tan-1(4/10)
now the base is 2 metre.. so the height change should be x/2=4/10
thus x=.8
height is thus 3.6 and other will be 4.4
even many of us can see & even its concept may come in d exam we ll be thankful to u
Proof in next post..
take the point on the top of the water surface
its acceleration is a with respect to the ground
it is very small let its mass be m
mg=Rcosθ
Rsinθ = ma
tan θ = a/g
thus if the difference in height is x then the base is 2
tan θ = x/2
so x = 2 tan θ = 2 a/g = 2.4/10 = .8 meters
nwo see the volume
initial volume is 3.A
Now if the height on one side is H then on other side is H+x
Total volume is (H+x/2)A = 3A
Thus, H=3-.4 = 2.6
and the other side has heigh of 2.6+x = 3.4 m
b)Find accelration at which liquid is just touching the base of front assuming container is open.Also fond spilled volume
if the container is open.. then the volume contained will be 1/2(4+0).A
=2A = 2.4 m3 = 8m3
In this case tan θ = a/g = 4/2= a/10
thus, a=20 m/s2
c)If accelration is 10m/s2 and container is colosed from top,find pressure at top and bottom of rear face.
now here you have to conserve volume ...!!
this is the more dirty question.. but the method is simpler than you think!! (see the acceleration in forward and force in downward direction are equal..) so tan θ = pi/4
See the right whtie portion of unfilled liquid has equal sides.. let x
volume of blue part = 4.4-1/2x2 × 2 = 3x4 = 12
4= x2
x = 2
Now, can you solve it? Pressure is known at some points....