Engineering 112 – Foundations of Engineering II

Review for Exam IV

Chapter 21 - Accounting for Angular Momentum

· Definitions

o Linear to Angular Conversions:  s = r q,  v = r w,   a = r a

o w = angular velocity (measured in radians per second) = 2pf

o P = period (measured in seconds) = 1/f

o f = frequency (measured in rpm or Hertz) = 1/P

o r = radius of the circular path

o Centripetal Acceleration = a = v²/r  = r w²  

o T = Torque = r F sin q

o L = Angular Momentum

§ L = r m v sin q                    (for a particle)

§ L = Iw                                (for a solid object)

§ I = moment of inertia           (See table 21.2)

o UAE for Angular Momentum

§ L_i + T t = L_f

· What is meant by centripetal force and centrifugal force?  What’s the difference?

· Review tables 21.1 and 21.2.

· Expect to see exam questions similar to these:

o Example problems within the chapter:  21.1, 2, 3, 4, 5, 8, 9, 10(Use UAE)

o Problems at the end of the chapter: 21.1, 2, 3, 4, 5, 10, 11

o Homework 10 and 11

Chapter 22 - Accounting for Energy

• Definitions:
• W = Work = Fx  for linear motion or Tq for angular motion
• E_k = Kinetic Energy = ½ mv²
• E_p = Gravitational Potential Energy =  mgh
• E_p = Spring Potential Energy = ½ kx²
• Q = Heat Energy
• Heat Capacity = C_p = Q/mDT   (See table 22.2)
• UAE for Energy
• E_i + W = E_f
• Omit sections in this chapter involving electricity.
• Expect to see exam questions similar to these:
• Example problems within the chapter:  22.1, 2, 3, 8, 10, 11, 12, 21
• Problems at the end of the chapter: 22.1, 2, 3, 4, 21, 22
• Homework 11