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How is calculated the bike speed in the training apps?

When using a home trainer with a speed/sensor, the app is taking your raw speed and manual level of resistance as inputs to estimate your energy output but compute it with many other parameters : the main one being the grade of the road but also your weight, kinetic energy (=your previous speed), and rolling resistance coefficients to recalculate what should be your actual speed in real life.
When using a power sensor or a smart trainer, the app is taking your power as an input and do the same calculation, using the grade of the road but also your weight, kinetic energy (= your previous speed), and rolling resistance coefficients to recalculate what should be your actual speed in real life.

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