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Chapter 5: Problem 29

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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Most popular questions from this chapter

What's the fastest way to make a U-turn at constant speed? Suppose that you need to make a \(180^{\circ}\) turn on a circular path. The minimum radius (due to the car's steering system) is \(5.0 \mathrm{m},\) while the maximum (due to the width of the road) is \(20.0 \mathrm{m}\). Your acceleration must never exceed \(3.0 \mathrm{m} / \mathrm{s}^{2}\) or else you will skid. Should you use the smallest possible radius, so the distance is small, or the largest, so you can go faster without skidding, or something in between? What is the minimum possible time for this U-turn?
A turntable reaches an angular speed of \(33.3 \mathrm{rpm}\) in $2.0 \mathrm{s}$ starting from rest. (a) Assuming the angular acceleration is constant, what is its magnitude? (b) How many revolutions does the turntable make during this time interval?
A highway curve has a radius of \(825 \mathrm{m}\). At what angle should the road be banked so that a car traveling at $26.8 \mathrm{m} / \mathrm{s}(60 \mathrm{mph})\( has no tendency to skid sideways on the road? \)[$Hint: No tendency to skid means the frictional force is zero. \(]\)
A bicycle is moving at \(9.0 \mathrm{m} / \mathrm{s} .\) What is the angular speed of its tires if their radius is \(35 \mathrm{cm} ?\)
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