Mechanical Engineering - Hydraulics and Fluid Mechanics - Discussion

Discussion Forum : Hydraulics and Fluid Mechanics - Section 2 (Q.No. 26)
26.
An open tank containing liquid is made to move from rest with a uniform acceleration. The angle 0 which the free surface of liquid makes with the horizontal is such that (where a = Horizontal acceleration of the tank, and g = Acceleration due to gravity)
tan θ = a/g
tan θ = 2 a/g
tan θ = a/2g
tan θ = a2/2g
Answer: Option
Explanation:
No answer description is available. Let's discuss.
Discussion:
3 comments Page 1 of 1.

Muhammad Waqas said:   9 years ago
Consider XY plane.

Assume the motion is in +X direction it means acceleration is in +X direction.
The gravity acts in -Y direction.

Now make a vector diagram;
The required angle is in between base (x-axis) and hypotenuse. Right?
Now,
As we know that tan(x) = perpendicular/base.
So
Tan(x) = g/a.

Jay said:   9 years ago
Here angle is to be measured with the free surface, so answer will be g/a.

Amit said:   1 decade ago
Assuming motion in XZ plane:

tan(@) = (Acceleration in X axis)/((Gravity+ acceleration in z axis).

Here, acceleration in z axis = 0.

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