$(.$ pylon$)$ is a netically$-$shapeu Dattelum mat is usually found in the stomach. It punows through the gastric mucous lining to establish an infection in the stomach's epithelial cells $($see photo$).$ Approximately $90\%$ of the people infected with H$.$ pylori will never experience symptoms. Others may develop peptic ulcers and show symptoms of chronic gastritis. The method of motility of H$.$ pylori is a prokaryotic flagellum attached to the back of the bacterium that rigidly rotates like a propeller on a ship. The flagellum is composed of proteins and is approximately $40\mathrm{.}0$ nm in diameter and can reach rotation speeds as high as $1\mathrm{.}50103$ rpm$.$ If the speed of the bacterium is $10\mathrm{.}0$m$/$s$,$ how far has it moved in the time it takes the flagellum to rotate through an angular displacement of $5\mathrm{.}00102$ rad?