Originally Posted by
HillRider
I don't think you read all of it. A higher cadence in the same gear requires more power, it doesn't give you more power. You have to provide that yourself. Generally, a higher cadence is used in a lower gear for the same power and speed. The video you linked to shows training yourself to use a higher cadence and to develop more power through that training.
True... all other things aside, it takes more torque (that you provide) to increase the cadence while in the same gear and even more torque if you increase the rate of gain in elevation (and/or to overcome an increase in wind resistance), and that equates to an increase in [horse]power (or, a higher wattage).