Escape Velocity Calculator

Created By : awnish

Reviewed By : Phani Ponnapalli

Last Updated : Apr 10, 2023

Escape Velocity Calculator is a free tool used to analyse the speed object requires to gain to leave the surface of any celestial body opposing its gravity. This tool is easy to operate, user-friendly and you need to enter planet mass, radius as inputs and get the escape velocity in a short span of time.

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Choose a Calculation
Mass(M):
Radius(R):
Escape velocity(Ve):

Escape Velocity Calculator: Do you feel that finding the escape velocity of an object is not a simple task? No more with our free calculator as it performs complex math operations and gives the escape velocity easily. Go through the following sections to get the step by step process on how to calculate the escape velocity and more useful details.

Escape Velocity Calculator

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.

Physicscalc.Com has got concepts like friction, acceleration due to gravity, water pressure, gravity, and many more along with their relevant calculators all one under one roof.

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.