Question

Which of the following is the expression of the maximum fluctuation of energy in a flywheel where I = mass moment of inertia of the flywheel, Cs = coefficient of fluctuation of speed, ω = mean angular speed of ω1 and ω2, and E = mean kinetic energy of the flywheel?

(a) I*ω*(ω1+ω2)

(b) I*ω*Cs

(c) 2*E^2*Cs

(d) I*ω^2*Cs

This question was posed to me in my homework.

Question is from Flywheel in chapter Internal Combustion Engines of Automobile Engineering

Answer 1

Correct choice is (d) I*ω^2*Cs

To explain: The maximum fluctuation of energy in a flywheel = I*ω*(ω1-ω2) = I*ω^2*Cs = 2*E*Cs = I*ω^2*Cs. The maximum fluctuation of energy can be calculated by using the turning moment diagram.