I used to think that a water wheel with 100 l/s of water would produce 98 watts theoretical, considering that I was told 1 kg of mass going down would produce 9.8 watts.

Recently I discovered the wheel and axle mechanical advantage which causes me to re-think what I know (because it doesn't make sense)

If we have a wheel that's 100 cm in diameter, and an axle of 1 cm in diameter, according to the internet - the power amplification at the axle would be 100 times.

If we have a generator connected to the axle it would be turned with that amplified force. That would mean that 1 liter of water acting on the wheel would create the force of 100 liters to the generator.

And therefore, 100 l/s of water on the wheel would create the force of 10,000 liters of water at the axle and generator, and then create 98 kW of power theoretical.

Which seems too much to be true.

So I'm trying to understand how does the wheel and axle mechanical advantage affect electrical power production, and in the example above - on a wheel of 100 cm diameter, axle 1 cm diameter, 100 l/s water flow, how much watt power would that produce? (I'm stuck between 98 watts and 98 kW)

Thank you.