Here you can see we are actually spinning in excess of 800 miles per hour here in Dayton, Ohio…so Hang on tight!
Yes, Earth is always rotating,  Faster at the Equator and slower at the Poles.
Here is my ~ 1 hour time lapse images(107 images at 30 seconds each) of Earth’s Natural Rotation taken above my house and backyard Observatory in Dayton!

There is faint a high altitude aircraft dotted line running vertically through the image, as well as a faint small Camelopardalid Meteor trail. Captured on 05-24-2014 around 3:00am to 4:00am E.S.T. Taken with my Canon Rebel Xsi  DSLR & 17mm lens, ISO 800, 107 x 30 seconds exp.
Best Regards,
John Chumack