It depends on a few things, like your speed, and the moon's terrain and gravity and stuff. But I'll assume for your question, you just mean if you could drive a car all the way around the moon, how long would it take. The answer to that (if we're using earth's gravity and environment) is fairly simple. Assuming that you're taking a route that is completely flat and you're going 100 km/h the entire time (a little over 60 mp/h), it would take just over 109 hours to travel around the entire moon. The equation for this is easy: The moon's equatorial circumference is 10,921 km, divide that by 100 (our speed), and you have the time it would take to travel that distance in kilometers per hour. (10921/100=109.21, or about 109 hours) For the sake of comparison, it would take about 401 hours to travel around the earth (if it were possible). The short answer: Travelling at 100 km/h (60 mph), it would take 109 hours. If you were travelling in a formula 1 racing car near its top speed (about 350 km/h or 220 mph) it would only take about 31 hours.
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Assuming you could drive a car on the moon, which you can't due to its lack of atmosphere and rugged terrain, the circumference of the moon is about 6,784 miles. If you were to travel at an average speed of about 60 mph, it would take approximately 113 hours to drive around the moon without stopping.
The Moon completes its orbit around the Earth in approximately 27.3 days
27.32 days
It takes about 1.28 seconds for light to travel from the moon to Earth. So if the moon were to travel at the speed of light, it would complete an orbit around the Earth in approximately 1.28 seconds.
If the moon did not rotate around Earth, it would likely drift away from our planet due to gravitational forces. This rotation is what keeps the moon in a stable orbit around Earth. Without it, the moon's position relative to Earth would change, potentially leading to significant disruptions in our planet's tides and climate.
Imagine the earth being the center of a clock and the sun way off at 9:00. The moon travels around the earth in a counter-clockwise direction. If the moon was at 3:00, it would be a full moon. If the moon was at 12:00, it would be a half moon. If the moon was at 9:00 it would be a new moon. If the moon was at 6:00 it would be a half moon, then go back to 3:00 and a full moon again.