There was a time not all that long ago when pretty much every single person that lived on this planet thought that the Earth was at the center of the universe and that the sun was just a beacon in the sky. This concept changed over time, although there has often been a lot of resistance to it, but at the end of the day we now know that the sun is one planet out of billions and that objects in space revolve around each other due to the gravitational force that they exert on each other once all has been said and is now out of the way.
It might be shocking to hear this, but something as boring as angular speed is actually critical to our understanding of the universe. This is because of the fact that we don’t currently know what gravity actually is, and if you think about it this shows just how little we truly know about the world around us. All we know is that gravity is a force that is exerted by all forms of matter, and the more mass that an object has the higher its gravitational field is going to be.
If we want to end up going out into space and learning about the universe as well as progressing as a species, we need to calculate the angular speed at which planets travel through space. This can help us piggy back off of their gravitational fields and make spaceflight possible without massive amounts of fuel being required. When you look into things like this you would notice that calculations are pretty necessary for the future of all humanity in the grand scheme of things.