Earth’s spin isn’t really as fast as it sounds. Imagine a ball on a table that turns around once every 24 hours. You’d get bored waiting for it to spin around once and any object on the ball wouldn’t feel much centrifugal force.
Still, there is some difference in weight depending on where you’re standing on our planet. At the equator your weight is slightly less than at the poles, and this is measurable using a scale and a simple object, like a brick.