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I would like to apologize in advance, for my english.

I am working on a gear reducer for a manual wheelchair, and are trying to figure out what kind of design I think would work. But as I am calculating there are a few (simple) things I could need some help with.

As a test I've chosen a "wheelchair + person - system" with a total mass of 110 kg (95 for the person and 15 for chair and wheels). I am simply trying to calculate the torque needed to push this system 30 degrees uphill, and this is where I have a couple of questions:

When calculating the tourqe, is it enough just to use Tourque = RadiusOfWheel * MassOfSystem * gravity * sin(30) ? In my case this gives me T = 0.6m * 110 kg * 9.81 m/s^2 * sin(30) = 323,73 Nm. Devided by two wheels the torque would be 161,865 Nm.

I'm wondering if this is the correct way to do it? As these are wheels, do I have to take the rolling into account when calculating the tourque? All the books I have are in English, and believe it or not, it is not always easy to find the correct (relevant) information as English is not my fist language :) .

I need the tourque to be able to design gears that would do the job.

I know these questions might seem simple, but I would really appreciate if someone could give me some pointers here.

And if everything is completely off, let me know!

Thank you!

Mats

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# Calculating torque on a wheelchair

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