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Question

How would you calculate the speed at which the earth revolves around the sun in m/s?


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Solution

Step 1: Calculate the distance,

The average distance of the Earth from the Sun r=1.5×1011m

Hence, the circumference of the earth's orbit,

D=2πr

=2×π×1.5×1011

9.4×1011m

Step 2: Calculate the total time,

Earth takes a whole year to complete the revolution over this orbit.

We know that 1yr=365 days

1 day =24hrs

1hr=60mins

1min=60s

Therefore, the total time taken is given as,

t=365×24×60×60

3.15×107s

Step 3: Calculate the speed,

The tangential speed of the Earth,

9.4×10113.15×1073×104ms-1

Hence, the earth revolves around the sun at a speed of 3×104ms-1.


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