What do you call the machine that gives air to the bike's wheel
An air compressor, or tire pump come to mind. I hope this helps. ;)
The machine that gives air to the bike's wheel is called an inflation pump. One has to make a choice on the appropriate type of pump to use depending on the size and effort needed while using.
Bycicle Tire Pump or Air pump.
Bikes don't have wheels, they have handle bars.
Air pump :p