Mountain Bike Tire Air Pressure Calculator. It should also be noted that you will lose traction with higher pressure in mountain bike tires. This allows the tire to ride up higher with a minimum amount of rolling resistance.
Mountain bikes tyres run at a lower pressure so that they are able to conform to the various terrains and provide better grip. Proper tire pressure lets your bike roll quickly, ride smoothly, and avoid flats. The lower air pressure can also.
But what's equally important to choosing the right tire for your needs is dialing in the right air pressure for them, especially on off-road terrain.
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Mountain bikes tyres run at a lower pressure so that they are able to conform to the various terrains and provide better grip. The lower air pressure can also. So there is not a single simple number, formula or other type of one size fits all answer.