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What is the average linear speed of the Earth about the Sun?

Short Answer

Expert verified
Answer: The Earth's average linear speed around the Sun is approximately 29,876 km/s.

Step by step solution

01

Convert one year into seconds

One year is equal to 365.25 days (including leap years). Now we will convert 365.25 days into seconds. 1 day = 24 hours 1 hour = 60 minutes 1 minute = 60 seconds So, 1 year = 365.25 days × 24 hours/day × 60 minutes/hour × 60 seconds/minute = 31,557,600 seconds
02

Calculate Earth's orbit circumference

To calculate the Earth's orbit circumference around the Sun, we will use the formula for the circumference of a circle: $$C = 2 * \pi * r$$ where C is the circumference and r is the radius of the orbit. Earth's average distance from the Sun is 93 million miles which is about 150,000,000 km. So, r = 150,000,000 km. Now, find the circumference: C = 2 * 3.14159 * 150,000,000 km ≈ 942,477,000 km
03

Calculate average linear speed

Now we have the circumference 'd' (942,477,000 km) and the time 't' (31,557,600 seconds). We can now find the average linear speed 'v' by using the formula: v = d/t v = 942,477,000 km ÷ 31,557,600 seconds ≈ 29,876 km/s The Earth's average linear speed around the Sun is approximately 29,876 km/s.

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