Why my games doesnt appear like it runs under 60 fps?

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Let me give you an example that might explain you my question:
When Im watching 60fps videos of people playing CoD Ghosts it really looks very smooth, but when I play it on my PC it looks like 30fps?
I have FPS counter active and it shows me that I have 60+ fps but it just doesnt look so smooth like videos of other people playing.
I know this question is a bit weird but I was always wondering and couldnt find an answer.
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Why is my 60FPS not 60FPS?
Get a better monitor? If 60FPS doesn't look like 60FPS on 60hz that's a perception problem. Sometimes when you start seeing imperfections you can't unsee them. If you just don't like the way 60hz looks the fix would be higher refresh rate.Why are my games limited to 60 FPS?
If you experience FPS capped to 30/60 or if your framerate is unstable, it is most likely related to your VSync settings. Enabling VSync will force the game to run maximum at your monitors refresh rate (usually 60 Hz) and will in turn will eliminate tearing.How do I get games to run at 60 FPS?
The most common reason for reduced FPS is graphics settings that create a larger workload than your hardware can handle. So how do you achieve better FPS? Getting a faster CPU, more RAM, or a newer graphics card is one solution.How to Fix: FPS Stuck at 30fps For Any PC Games - Fortnite, CS-Go, Minecraft \u0026 More! (nVidia Only)
Sources: Stack Exchange - This article follows the attribution requirements of Stack Exchange and is licensed under CC BY-SA 3.0.
Images: Pixabay, William Fortunato, William Fortunato, Karolina Grabowska