Sarthaks Test
0 votes
1.4k views
in Physics by (8.6k points)

The free surface of oil in a tanker, at rest, is horizontal. If the tanker starts accelerating the free surface will be titled by an angle θ. If the acceleration is a m s–2, what will be the slope of the free surface?.

1 Answer

0 votes
by (13.6k points)
selected by
 
Best answer

If the tanker acclerates in the positive x direction, then the water will bulge at the back of the tanker. The free surface will be such that the tangential force on any fluid parcel is zero.

Consider a parcel at the surface, of unit volume. The forces on the fluid are

-rgŷ and -ra

The component of the weight along the surface is rg sin θ

The component of the acceleration force along the surface is

r a cos θ

rg sin θ = ra cosθ

Hence, tan θ =a/g

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

Categories

...