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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define rotational kinetic energy.
π‘ Hint: Think about the energy associated with motion but in rotation.
Question 2
Easy
What does I stand for in the E_rot formula?
π‘ Hint: Consider how mass is spread out in an object.
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 rotational kinetic energy?
- E_rot = 1/2 I Ο
- E_rot = 1/2 I ΟΒ²
- E_rot = I ΟΒ²
π‘ Hint: Review the formula discussed in class.
Question 2
True or False: Moment of inertia is the same for all shapes.
- True
- False
π‘ Hint: Consider how a point mass changes if the axis of rotation changes.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
A solid cylinder with a moment of inertia of 8 kgΒ·mΒ² is rotating at an angular velocity of 5 rad/s. If it is slowed down to 2 rad/s, how much rotational kinetic energy is lost in this process?
π‘ Hint: Calculate initial and final energies to find the difference.
Question 2
If a wheel has an angular velocity of 12 rad/s and you increase the angular velocity to 20 rad/s while keeping the moment of inertia constant, how does the rotational kinetic energy change?
π‘ Hint: Use the formula for rotational kinetic energy to calculate each state and find the difference.
Challenge and get performance evaluation