# Equation of Energy Loss by Friction Clutch During Engagement

Read: What is a Clutch? - Types of Clutches

Consider a plate or disc clutch

Let

I

I

ω

ω

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 ω

Common angular speed after engagement of clutch pressure plate

Total Kinetic energy before

Kinetic energy after clutch engagement

Put the value of ω into above equation,

Now the loss of energy during clutch engagement, E= E

Consider a plate or disc clutch

Let

I

_{A}= mass moment inertia of rotors attached to shaft AI

_{B}= mass moment inertia of rotors attached to shaft Bω

_{A}= Angular speed of shat A before engagementω

_{B}= Angular speed of shat B before engagementω = 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 ω

_{A}+ IB ω_{B}= (I_{A}+ I_{B})ωCommon angular speed after engagement of clutch pressure plate

Total Kinetic energy before

**friction clutch**engagementKinetic energy after clutch engagement

Put the value of ω into above equation,

Now the loss of energy during clutch engagement, E= E

_{1}-E_{2}**Apply Different condition for above equation**

Condition I - The rotor attached and hence the shaft B at rest ω

_{B}= 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 (ω

_{B}= 0) and I

_{B}is very small when compared to I

_{A}

Common angular speed after the clutch engagement,

Kinetic energy loss,