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Because the air is being compressed so much, that it is vibrating molecules at a very high rate, which causes a heating effect.
When you compress air the molucules rapidly move into tighter positions causing them to over heat.
Friction is generated through the reciprocating motion of the piston and the cylinder's wall .
Two reasons. First, the friction of the pump in operation creates heat. Also, compressing air makes the air hot, as you are increasing the rates of contact between the air molecules.

Alternative answer (based on the Ideal gas law):

The volume of air is at a certain ambient temperature and pressure when it is sucked into the pump, then when it is squeezed by the pump piston, the air volume gets smaller, causing the air pressure to increase. The air volume contained a certain amount of heat energy before it got squeezed. As it is squeezed together, the amount of heat occupies a smaller space, and so to keep the same amount of heat energy in the air, the temperature has to increase, so it gets hot.
why u ask me dude i ain't no scientist go ask einstine

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