# The average distance between Earth and the sun is 1.50e8 km.

Calculate the average speed, in km/h, of Earth assuming a circular path about the sun. Use the equations v = 2(pi)r/T.

You know that, for the Earth, T = 365.25 days. Convert that to hours (by multiplying by 24 h/day) and then use the formula given. You will get the velocity in km/h

## Well, to calculate the average speed of Earth, we will first need to convert the time period from days to hours. So let's get the party started!

365.25 days * 24 hours/day = 8766 hours

Now, we can use the given formula v = 2(pi)r/T, where r is the average distance between Earth and the sun (1.50e8 km) and T is the time period (8766 hours). Let's plug in the values and whip up some laughter!

v = 2(pi)(1.50e8 km) / 8766 hours

Calculating it all, we get:

v ≈ 1.703e6 km/hour

So, Earth is zooming through space at an average speed of about 1.703 million kilometers per hour! And they say Earth is slow. Ha!

## To calculate the average speed of Earth in km/h assuming a circular path around the sun, we can use the equation:

v = 2πr / T

Where v is the velocity, r is the radius of the circular path (average distance between Earth and the sun), and T is the period (time it takes for one complete revolution around the sun).

Given that the average distance between Earth and the sun is 1.50e8 km, and T is 365.25 days, we can convert T to hours by multiplying it by 24 h/day:

T = 365.25 days * 24 h/day
T = 8766 hours

Now we can substitute the values into the equation and solve for v:

v = 2π(1.50e8 km) / 8766 hours
v ≈ 2π(1.50e8 km) / 8766 hours
v ≈ (3.14)(1.50e8 km) / 8766 hours
v ≈ 4.71e8 km / 8766 hours
v ≈ 5.37e4 km/h

Therefore, the average speed of Earth in km/h assuming a circular path around the sun is approximately 53,700 km/h.

## To calculate the average speed of Earth in its circular path around the Sun using the given equation v = 2(pi)r/T, we have the following steps:

Step 1: Convert the period T from days to hours
Since we know the Earth's period is 365.25 days, we can convert this to hours by multiplying it with the conversion factor 24 hours/day:
T = 365.25 days * 24 hours/day
T = 8766 hours

Step 2: Substitute the values into the equation
Now we can substitute the values into the equation v = 2(pi)r/T, where r is the average distance between Earth and the Sun, given as 1.50e8 km (1.50 x 10^8 km):
v = 2(pi)(1.50e8 km) / 8766 hours

Step 3: Calculate the average speed
Using a calculator, evaluate the expression on the right side of the equation:
v ≈ 2(pi)(1.50e8 km) / 8766 hours
v ≈ 94240 km/h

Therefore, the average speed of Earth, assuming a circular path about the Sun, is approximately 94240 km/h.