Kepler's Third Law Calculator
Kepler's 3rd Law Calculator displays the detailed work to find the basic parameters of the planet's motion around the Sun, like the semi-major axis, planet period easily. It uses Kepler's third law formula to find the unknown parameters. Just enter star mass, semi-major axis and hit the submit button to check the orbital period.
Kepler's 3rd Law Calculator: Want to calculate the planet period and don't know how to do calculations? Then, use this handy Kepler's third law calculator as it does all the difficult math work and provides the exact answer. It is based on the fact that the ratio of radius to the period is constant for all planets in the planetary system. Read more to know Kepler's 3rd law definition, equation and solved example questions.
Steps to Find Escape Velocity
These are the steps to calculate the escape velocity of an object effortlessly.
- Obtain the mass and radius of the object from the question.
- Multiply the mass with the gravitational constant
- Divide the product by the radius.
- The square root of the result is the first cosmic velocity.
- The square root of the double the result is the escape velocity.
Escape Velocity Formula
Escape velocity is defined as the minimum velocity with which a mass requires to be drive from the earth's surface to escape earth's gravity.
In simple words, it is the minimum speed needed for an object to free from the gravitational force of a massive object.
The escape velocity depends on the mass and radius of the celestial body. Its equation is
Ve = √(2GM/R)
Where,
Ve is the escape velocity
G is the earth's gravitational constant
M is the mass of the planet
R is the Radius of the planet.
The first cosmic velocity is the velocity that an object need to orbit the celestial body.
first cosmic velocity = √(GM/R)
Example
Question: Suppose the radius of the earth is 5.36 x 106 m and the mass is 5.18 x 1024 kg. Find the escape velocity from planet earth.
Solution:
Given that,
Mass of the planet earth M = 5.18 x 1024 kg
Radius of earth R = 5.36 x 106 m
Escape velocity is Ve = √(2GM/R)
Ve = √(2 x 6.673 x 10-11 x 5.18 x 1024) /5.36 x 106)
= √(69.13 x 1013/5.36 x 106)
= √(12.89 x 107)
= 11353.41
Therefore, the escape velocity is 11353.41 m/s.
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FAQ's on Escape Velocity Calculator
1. How to find escape velocity?
The step by step process to calculate the escape velocity of an object is given here. Multiply the gravitational constant by the double of the planet mass. Divide the product by the radius and apply square root to get the escape of velocity.
2. What is the velocity escape of earth?
The escape velocity of the earth is 11.19 km/s.
3. What is the escape velocity equation?
The escape velocity formula is Ve = √((2GM)/R). The parameters are M is the planet mass, R is the planet radius and G is the universal gravitational constant.
4. What is escape velocity?
In physics, the escape velocity is defined as the minimum velocity that is required to leave a planet. It depends on the planet mass and radius.