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Calculate gravitational acceleration easily with our online Gravitational Acceleration Calculator. Get step-by-step solutions for free fall, g-force, and more!
Ever dropped something and watched it fall? That’s gravity in action! It’s the force that pulls everything toward the Earth or any other massive object, for that matter. Scientists measure this as gravitational acceleration (g), and it’s typically around 9.81 m/s² on Earth.
But here’s the fun part: gravity isn’t the same everywhere. It changes depending on where you are whether you’re on the Moon, Mars, or even just at a higher altitude.
That’s where our Gravitational Acceleration Calculator comes in handy! No need to dig through physics textbooks we’ve got you covered with simple calculations and step-by-step solutions.
Imagine you’re on a roller coaster. The moment it drops, you feel that rush it’s not just speed; it’s acceleration due to gravity. Gravitational acceleration tells us how fast objects speed up as they fall freely.
Here’s the core formula physicists use:
g = GM / r²
Where:
This equation helps us figure out how strong gravity is on different planets, moons, or even in outer space.
There’s more than one way to find g, depending on what you have to work with.
If you know the mass and radius of a planet (or moon), plug them into g = GM / r² to get the gravitational acceleration.
Got a stopwatch and a ruler? You can measure gravity yourself with this formula:
g = 2d / t²
Where:
For example, if you drop a rock and it falls 4.9 meters in 1 second, the calculation would be:
g = (2 × 4.9) / (1²) = 9.8 m/s²
If you want to know how fast an object falls after a certain time, use:
v = gt
So, if you fall for 3 seconds, you’ll be moving at:
v = 9.81 × 3 = 29.43 m/s
That’s about 66 mph fast enough to make skydiving a real thrill!
Ever wondered how high you could jump on the Moon? Gravity is weaker there, meaning you’d float longer. Check out these gravity values across the solar system:
Celestial Body | Mass (kg) | Radius (m) | Gravity (m/s²) |
---|---|---|---|
Earth | 5.972 × 10²⁴ | 6.371 × 10⁶ | 9.81 |
Moon | 7.35 × 10²² | 1.737 × 10⁶ | 1.62 |
Mars | 6.417 × 10²³ | 3.389 × 10⁶ | 3.71 |
Jupiter | 1.898 × 10²⁷ | 6.991 × 10⁷ | 24.79 |
If you weigh 150 lbs on Earth, you’d feel like just 25 lbs on the Moon!
A lot of people ask, "What does 1 g feel like?" It’s the force you feel when standing still on Earth, but when you accelerate at 1 g, you’re speeding up at 9.81 m/s².
To convert this to mph²:
1 m/s² = 2.23694 mph²
1 g = 21.69 mph²
For 2 g, just double it:
2 g = 43.38 mph²
That’s the kind of acceleration astronauts feel during takeoff!
This tool is perfect for students, researchers, or just anyone curious about physics.
Gravity isn’t just a number it’s the force that keeps us grounded. Whether you’re dropping a ball, watching a rocket launch, or dreaming of space travel, understanding g is key to making sense of the universe.
With our Gravitational Acceleration Calculator, you can easily figure out gravity’s pull on Earth, the Moon, or even Mars. Go ahead, give it a try!
Use g = GM / r² for planetary gravity or g = 2d / t² for free-fall calculations.
Because of its mass and radius. Gravity changes slightly depending on location.
About 43.38 mph² twice the force of Earth’s gravity.
Yes! It’s slightly weaker at higher altitudes and stronger at the poles.
During a rocket launch, they might feel 3-5 g, making movement difficult!