The energy required to heat the water is significantly greater than the energy to pump the water or spin the tub.
A typical electric water tank is 4500 W. A washing machine’s boost heater (for better machines, if incoming water is too cold) would be 1500 W. A pump might be 100 W. The main drum motor might be 300-500 W.
Kinetic energy to heat 20 L of water from 20 to 40 C: 1,600,000 J
Kinetic energy to spin a stopped drum full of 40 kg clothes+water up to 300 rpm: .5 × (.5 × mass × radius^2) × (angular velocity)^2 = 1.2 × (37 rad/s)^2 = 1600 J (assuming solid cylinder for moment of inertia)
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