.... Maybe my project is to large for this fourm maybe im more barking up the tree of a EV car rather than kart
Neither I'm afraid!
A 3kWatt inverter (or realistically 2600W) is nowhere NEAR close enough to the power you'd need for a car you would need about ten of those for a car at the very least (26kW is a much better number for cars)
3kW is well suitable for karts though med-large'ish single seater) .. it's just much more hassle than you'd think if you want to use that inverter.
for that amount of power straight DC is the much much easier way of achieving this (with less weight, better efficiency and effectively less money to be spent)
But alright... you want to, then please do so... but do not start complaining afterwards:
Get a bunch of batteries,
say 64Ah in size each, at the very least 4 .. better six.
connect them all up in parallel (use the thickest wire you can find to do so)
that goes straight to your inverter.
hook up your angle grinder.
If it's a good brand it comes with a PWM speedcontrol (the further you push the button the faster it goes) if not, you need to shop for a different one.
hook it up...
read the max rpm from the box (or label)
with the tyre size of your wish known use that rpm and the wheelsize to roughly calculate your gear ratio (it's safe to assume your kart will not be much quicker than maybe 18-20mph)
you will certainly know how, right?
With that ratio find a set of sprockets that will achieve that ratio.
connect all up and you're basically set (remote throttle and mounts and all the details left out here

)
'sid