modelling the way force needed to crank a bike pedal to maintain constant acceleration on a gradient | Mathematics | Page 1

thorny egret Jan 21, 2024, 2:07 AM

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so i'm working on the flat ground equation before moving on to factoring gradients in but ive decided i want to 20 kph and ive used the rolling resistance coefficient to find that i want to maintain 105 lbs of forward force generally on the bike

sturdy copperBOT Jan 21, 2024, 2:07 AM

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thorny egret Jan 21, 2024, 2:07 AM

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then i've turned the linear force into linear acceleration

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and then i've turned that linear acceleration on the tire into angular acceleration

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but now i'm trying to scale the accelerator to a smaller wheel body which is the sprocket to see how much torque is being applied to the sprocket and continue the modelling

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however i dont know how the acceleration scales at all

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ignore the numbers but this is kinda what i mean

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@steep sandal

steep sandal Jan 21, 2024, 2:12 AM

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oh

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is it a rough surface?

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@thorny egret

thorny egret Jan 21, 2024, 3:44 AM

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yeah

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well

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kinda

#modelling the way force needed to crank a bike pedal to maintain constant acceleration on a gradient