Practice Cylindrical - 9.2 | Partial Differential Equations | Mathematics III (PDE, Probability & Statistics)
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What are the three coordinates used in cylindrical coordinates?

πŸ’‘ Hint: Think about how a cylinder is defined in space.

Question 2

Easy

Write down the general form of the Laplacian in cylindrical coordinates.

πŸ’‘ Hint: Remember the terms related to radial, angular, and axial changes.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

What is the formula for the Laplacian in cylindrical coordinates?

πŸ’‘ Hint: Review the formula as discussed in class.

Question 2

True or False: Cylindrical coordinates are not important in engineering applications.

  • True
  • False

πŸ’‘ Hint: Consider the examples given in class.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Consider a cylindrical tank. If the temperature at the bottom is T0 and it remains constant, derive how the temperature varies with r and z using the cylindrical Laplacian.

πŸ’‘ Hint: Start with the heat equation and apply boundary conditions logically.

Question 2

A fluid flows through a cylindrical pipe with a uniform flow rate. Discuss how the cylindrical Laplacian can be utilized to model the pressure changes in the fluid.

πŸ’‘ Hint: Think of how fluids behave in rotating systems.

Challenge and get performance evaluation