The moon is about 384000 km the earth and its paths around earth is circular. The moon taken 24hr to complete one orbit. The speed at which the moon orbits the earth in km/ hour is

The moon is about 384000 km the earth and its paths around earth is circular. The moon taken 24hr to complete one orbit. The speed at which the moon orbits the earth in km/ hour is

To find the speed at which the moon orbits the earth, we need to determine the circumference of the moon's orbit and then divide it by the time it takes for one complete orbit.

First, let's calculate the circumference of the moon's orbit. The path around the earth is a circular orbit, which means the circumference can be found using the formula:

Circumference = 2 * π * Radius

The radius of the moon's orbit is the distance between the moon and the earth, which is given as 384,000 km. Substituting this value into the formula, we have:

Circumference = 2 * π * 384,000 km

Next, we need to find the time it takes for the moon to complete one orbit, which is given as 24 hours.

Now we can calculate the speed at which the moon orbits the earth by dividing the circumference of the orbit by the time taken for one orbit:

Speed = Circumference / Time

Plugging in the values we have, we get:

Speed = (2 * π * 384,000 km) / 24 hours

Simplifying the expression:

Speed = π * 384,000 km / 12 hours

Calculating the value:

Speed ≈ 100,530 km/hour

Therefore, the speed at which the moon orbits the earth is approximately 100,530 km/hour.