Calculate the speed in m/s at which Earth revolves about the Sun. You may assume the orbit is nearly circular.
29951.68m/s
To calculate the speed at which Earth revolves around the Sun, we need to use the formula for the circumferential speed of an object in circular motion.
The formula for circumferential speed is:
v = 2πr/T
Where:
v = speed in meters per second (m/s)
π (pi) = approximately 3.14159
r = radius of the circular orbit
T = time period of one revolution
For Earth, the radius of its orbit around the Sun is approximately 149.6 million kilometers (or 149,600,000,000 meters), and its time period for one revolution (or one year) is approximately 365.25 days.
Let's calculate the speed:
v = 2πr / T
= 2 * 3.14159 * 149,600,000,000 / (365.25 * 24 * 60 * 60)
Using this formula and performing the calculation, the speed at which Earth revolves around the Sun is approximately 29,785 meters per second (m/s).