KnowledgeBoat Logo
|

Mathematics

The moon is about 3,84,000 km from the earth, and its path around the earth is nearly circular. Find the speed at which it orbits the earth, assuming that it orbits the earth in 24 hours. (Use π = 3.14)

Mathematical Modelling

3 Likes

Answer

Step 1 : Formulation :

The speed at which the moon orbits the earth is = Length of the orbitTime taken\dfrac{\text{Length of the orbit}}{\text{Time taken}}

Step 2: Finding the solution :

Since the orbit is nearly circular.

∴ Its length is its circumference

⇒ 2πr = 2 × π × 384000

= 2 × 3.14 × 384000 = 2,411,520 km

We know that,

The moon takes 24 hours to complete an orbit.

So, Speed = DistanceTime=241152024\dfrac{\text{Distance}}{\text{Time}} = \dfrac{2411520}{24} = 100480 km/hour

Step 3 :Interpretation :

The speed is 100480 km/h.

Answered By

2 Likes

Related Questions