A U-tube containing a liquid is accelerated horizontally with a constant acceleration α 0 . If the separation between the vertical limbs is l, find the difference in the heights of the liquid in the two arms.

Question

Philoid · Accepted Answer

Given, the upwards acceleration of the tube is and the distance between vertical limbs is . Let be the increase in height and be the area of cross-section of the u-tube. Also, is the atmospheric pressure.

Now we balance all the vertical forces on the tube.

(ANS)

Now we balance all the vertical forces on the tube.

(ANS)

A U-tube containing a liquid is accelerated horizontally with a constant acceleration α0. If the separation between the vertical limbs is l, find the difference in the heights of the liquid in the two arms.

A U-tube containing a liquid is accelerated horizontally with a constant acceleration α₀. If the separation between the vertical limbs is l, find the difference in the heights of the liquid in the two arms.