19. Rotational Kinetic Energy

Question 1

Remember…

Energy and Work have units of ___________
Energy is _______ or Energy Before = Energy _____

Answer 1

Energy and Work have units of Joules.
Energy is CONSERVED or Energy Before = Energy After

Question 2

What are the equations for

Linear Kinetic Energy vs. Rotational Kinetic Energy

Answer 2

Linear Kinetic Energy

1. KE = ½mv²

Rotational Kinetic Energy

1. KE_r=½Ɪω²

Question 3

Can objects have both linear kinetic energy and rotational kinetic energy in the same problem? Explain it through an equation.

Answer 3

YES!

KE_TOTAL = KE_LINEAR + KE_ROTATIONAL = ½mv² + ½Iω²

Question 4

How can you integrate the linear kinetic energy equation and rotational kinetic energy equation to the conservation of energy equation?

Answer 4

GPE_i+EPE_i+KE_i+KE_ri+W_a = GPE_f+EPE_f+KE_f+KE_rf+W_l