To calculate the force transmitted by a clutch, the relationship between power, torque, and angular velocity is essential. For an engine with 30 horsepower at 3000 RPM, the torque can be calculated as 30 hp multiplied by 5252 divided by 3000 RPM, resulting in 52.5 ft.lbs of torque. It's important to note that this value may not represent the peak torque of the engine, as torque can vary. Additionally, the clutch design should incorporate reserve capacity to prevent slippage under high loads. Proper calculations and considerations are crucial for effective clutch performance.