Equation of Energy Loss by Friction Clutch During Engagement -->

# Equation of Energy Loss by Friction Clutch During Engagement

Read: What is a Clutch? - Types of Clutches

Consider a plate or disc clutch
Let
IA = mass moment inertia of rotors attached to shaft A
IB = mass moment inertia of rotors attached to shaft B
ωA = Angular speed of shat A before engagement
ωB = Angular speed of shat B before engagement
ω = Common angular speed of shat A and Shaft B after engagement

According to the principle of conservation of momentum, Total momentum before clutch engage is equal to the total momentum of the clutch after clutch disc engagement.

IA ωA + IB ωB = (IA + IB

Common angular speed after engagement of clutch pressure plate

Total Kinetic energy before friction clutch engagement

Kinetic energy after clutch engagement

Put the value of ω into above equation,

Now the loss of energy during clutch engagement, E= E1-E2

Apply Different condition for above equation
Condition I - The rotor attached and hence the shaft B at rest ωB = 0
Put these condition in equation (a), and equation (b) we get
Common angular speed after the clutch engagement,

Loss of kinetic energy

Condition II - If rotor B at rest (ωB = 0) and IB is very small when compared to IA
Common angular speed after the clutch engagement,

Kinetic energy loss,