The time taken by the earth to complete one revolution around the sun is [tex]3.156 \times 10^7 s[/tex]. The distance between the earth and Sun is [tex]1.5 \times 10^{11} m[/tex]. Find the speed of revolution of the earth.
Answer (2)
The speed of the Earth's revolution around the Sun is approximately 29800 m/s. This is calculated using the circumference of the Earth's orbit and the time taken for one full revolution. The circumference is found using the formula C = 2πr, and the time is given as 3.156 × 10^7 seconds.
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To find the speed of revolution of the Earth around the Sun, we can use the formula for speed, which is:
Speed = Time Distance
In this case, the distance is the circumference of the Earth's orbit around the Sun. Since the orbit is nearly circular, the circumference C can be calculated using the radius of the orbit r , which is the average distance from the Earth to the Sun (1.5 \times 10^{11} \text{ m}). The formula for circumference is:
C = 2 π r
Substituting the known values:
C = 2 π × 1.5 × 1 0 11 m
C ≈ 9.42 × 1 0 11 m
The given time for one full revolution (one year) is 3.156 × 1 0 7 seconds .
Now, plug these values into the speed formula:
Speed = 3.156 × 1 0 7 s 9.42 × 1 0 11 m
Speed ≈ 2.98 × 1 0 4 m/s
So, the speed of the Earth's revolution around the Sun is approximately 2.98 × 1 0 4 meters per second (m/s) . This calculation gives us an understanding of the approximate speed at which the Earth orbits the Sun along its nearly circular path.
