Question

On average, the earth is 93 million miles away from the center of the sun.

A) Assuming that the earth's orbit is circular, estimate the number of miles our planet travels in one complete revolution around the sun.
B) The complete revolution around the sun takes 1 year. How fast is the earth moving in this orbit in feet per second?

step by step please​

Answer 1

Step-by-step explanation: A) The number of miles the earth travels in one complete revolution around the sun can be estimated using the circumference of the circular orbit.

Circumference = 2 * π * radius

Since the average distance from the earth to the sun is 93 million miles, this is the radius of the circular orbit:

Circumference = 2 * π * 93 million miles

Simplifying, we get:

Circumference = 186 million * π miles

So the number of miles the earth travels in one complete revolution is approximately 186 million * π miles.

B) To find the speed of the earth in feet per second, we need to divide the total distance by the time it takes to travel that distance.

The complete revolution takes 1 year, or 365.25 days. So the time it takes to travel the distance is 365.25 days * 24 hours/day * 60 minutes/hour * 60 seconds/minute = 31,536,000 seconds.

Speed = Total distance / Time

Speed = 186 million * π miles / 31,536,000 seconds

We can convert miles to feet:

Speed = 186 million * π * 5280 feet/mile / 31,536,000 seconds

So the speed of the earth in its orbit around the sun is approximately 66,600 feet per second.

Answer 2

A) One complete revolution around the sun is equal to the circumference of a circle with radius 93 million miles. The circumference of a circle with radius r is given by 2πr, so the circumference of the earth's orbit is 2π * 93 million = 186 million miles * π.

B) To convert this distance to feet per second, we first need to convert miles to feet (1 mile = 5280 feet). The distance the earth travels in one complete revolution is 186 million miles * 5280 feet/mile = 979,680,000,000 feet. If this distance is travelled in one year, then the speed of the earth in feet per second is 979,680,000,000 feet / (365 days/year * 24 hours/day * 60 minutes/hour * 60 seconds/minute) = 66,620 feet/second.