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11 grade physics others

Calculate the number of astronomical units in one metre.

Profile image of Aniket Singh
1 Year agoGrade
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1 Answer

Profile image of Askiitians Tutor Team
1 Year ago

The astronomical unit (AU) is a unit of measurement commonly used in astronomy to represent distances within the solar system. It is defined as the average distance between the Earth and the Sun, which is approximately 149.6 million kilometers or about 93 million miles.

To calculate the number of astronomical units in one meter, we need to convert meters to kilometers and then divide that value by the average distance between the Earth and the Sun.

1 kilometer is equal to 1,000 meters. Therefore, 1 meter is equal to 1/1,000 = 0.001 kilometers.

Now, let's divide 0.001 kilometers by the average distance between the Earth and the Sun in kilometers:

AU = 0.001 km / 149.6 million km

Calculating this value, we get:

AU ≈ 6.6846 × 10^-12

So, approximately 6.6846 × 10^-12 astronomical units (AU) are equal to one meter.