Yes, there have been experiments conducted to demonstrate relativistic time dilation using everyday objects such as clocks and vehicles. One notable example is the Hafele-Keating experiment, carried out in 1971.
The Hafele-Keating experiment involved flying atomic clocks on commercial airplanes. The experiment aimed to test the predictions of time dilation as described by Einstein's theory of relativity. The clocks were flown around the Earth in opposite directions, with one traveling eastward and the other westward.
According to the theory of relativity, time should appear to pass more slowly for the clock in motion relative to an observer at rest. Therefore, the clocks that were flown at high speeds should have experienced a measurable time dilation compared to a reference clock that remained on the ground.
After comparing the airborne clocks to reference clocks on the ground, the experimenters observed a small but measurable time dilation effect. The results were consistent with the predictions of relativity, confirming the validity of the theory.
While the Hafele-Keating experiment is one of the most well-known demonstrations of relativistic time dilation using everyday objects, similar experiments have been conducted with more precise measurements and advanced technologies. These experiments continue to provide evidence for the accuracy of Einstein's theory of relativity in describing the effects of time dilation.