How Bicycle Wheel Rim weight changes forward acceleration?

[Sprogpole]

How much faster will a bicycle accelerate forward if both front and rear wheel rims are changed for lighter ones?
Power input, size, hubs, spokes tyres, Frame etc all staying the same.
I can give you any sizes and weights needed, let me know what is needed for this calculation and I’ll reply.
Thanks for your time

 

[berkeman]

https://en.wikipedia.org/wiki/Moment_of_inertia
But in BMX, you can't make the rims too light/weak, right? There is a limit before you start bending your rims landing jumps...

 

[rcgldr]

The affect on acceleration of a difference in weight in the rims would be similar to a bit less than doubling that same difference in weight on the frame. If each rim is 0.25 kg lighter, for a total decrease in rim weight of 0.5 kg, then the affect would be similar to the frame being a bit less than 1.0 kg lighter.