# Time required and Energy dissipated in Clutching Operation

This very important concept and still untouched by GATE and ESE.

We know that the initial angular velocity of the driven shaft is zero. It is brought to full speed from rest by the clutching operation. When the clutch is fully engaged, the driving and driven shafts rotate at the same speed. However, during the clutching operation, slippage occurs because the two sides rotate at the different speeds. Energy is dissipated during slippage, which is converted into frictional heat.

### Calculation:

Let,

I1 = Moment of Inertia of driving shaft (kg-m2)

I2 = Moment of Inertia of driven shaft (kg-m2)

ω1 =Angular velocity of driving shaft (rad /s)

ω2 =Angular velocity of driven shaft (rad/s)

• Time required for clutching = (ω1 – ω2 / Torque) * I(equivalent)
• Energy dissipated in clutching,

where,

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