If a satellite is orbitting the earth 710km above the earths surface, and it's velocity is 7,406.8 meters/sec, what is it's cetripedal acceleration??
centripetal acceleration = V^2/R
For R, add 710,000 m to the radius of the earth. Use meters
The earth's radius is about 6400 km, but you should look it up.
To calculate the centripetal acceleration of a satellite, you'll need to use the formula:
Centripetal acceleration = (Velocity squared) / Radius
In this case, the given velocity of the satellite is 7,406.8 meters/sec, and the radius is the distance of the satellite from the Earth's surface plus the Earth's radius.
Radius = 710 km + radius of the Earth
The radius of the Earth is approximately 6,371 km or 6,371,000 meters (rounded to the nearest meter). So the total radius in meters would be:
Radius = 710 km + 6,371,000 meters
Now you can substitute these values into the formula to calculate the centripetal acceleration:
Centripetal acceleration = (7,406.8 meters/sec)^2 / (710 km + 6,371,000 meters)
Before calculating, make sure to convert all units to the same system. In this case, convert the kilometers to meters by multiplying by 1000:
Centripetal acceleration = (7,406.8 meters/sec)^2 / (710,000 meters + 6,371,000 meters)
Now, calculate the centripetal acceleration.