A U–tube contains water in the right arm, and another liquid in the left arm. It is observed that when the U–tube rotates at 50 rpm about an axis that is 15 cm from the right arm and 5 cm from the left arm, the liquid levels in both arms become the same, and the fluids meet at the axis of rotation. Determine the density of the fluid in the left arm.

Problem 150P

Solution 150P

Step 1:

In this question, we have two different kinds of liquid in U-tube , in one arm there is water and other has some other liquid

We need to find the density of the second liquid

Data given

Angular velocity

Density of water

Let us consider the given image

From the figure we have

Height