**This magnitude of acceleration calculator in physics helps determine the magnitude of an acceleration vector, which is essential for analyzing the motion of objects.**

Two masses, m1 = 5 kg and m2 = 10 kg, and they are connected in such a way that m1 pulls m2 with a force of F = 50 N:

**Calculate the acceleration of m2:**

a = F/m2 = 50 N/10 kg = 5 m/s^2 This means that m2 will accelerate at 5 m/s^2 due to the force exerted by m1.

## Magnitude of Acceleration Calculator

ax (m/s²) | ay (m/s²) | az (m/s²) | Magnitude of Acceleration (m/s²) |
---|---|---|---|

3 | 4 | 0 | 5 |

-2 | 5 | 6 | 8.06 |

10 | 0 | 0 | 10 |

1 | 1 | 1 | 1.73 |

-5 | 12 | -4 | 13.75 |

0 | 0 | 0 | 0 |

5 | -3 | 2 | 6.16 |

15 | 15 | 0 | 21.21 |

20 | 0 | 0 | 20 |

30 | 0 | 0 | 30 |

0 | 9.81 | 0 | 9.81 |

0 | 0 | 30 | 30 |

1.33 x 10¹⁴ | 0 | 0 | 1.33 x 10¹⁴ |

49 | 0 | 0 | 49 |

88 | 0 | 0 | 88 |

333 | 0 | 0 | 333 |

454 | 0 | 0 | 454[2]. |

## Magnitude of Acceleration Formula

The formula for calculating the **magnitude of acceleration** is:

**|a| = √(ax² + ay² + az²)**

Where:

|a|is themagnitude of accelerationax,ay, andazare the acceleration components in the x, y, and z directions, respectively

In cases where motion is confined to a single plane or line, the formula simplifies to:

**|a| = √(ax² + ay²)** or **|a| = |ax|**

Consider a rocket launching vertically. If it experiences an upward acceleration of 30 m/s², the

magnitude of accelerationwould simply be 30 m/s².

## How do you calculate the magnitude of acceleration?

**Identify the acceleration components**: Determine the acceleration in each relevant direction (x, y, and z if applicable).**Square each component**: Calculate the square of each acceleration component.**Sum the squared values**: Add all the squared components together.**Take the square root**: The square root of the sum gives you the**magnitude of acceleration**.

**A drone is moving with accelerations of 3 m/s² eastward (x-direction), 4 m/s² northward (y-direction), and 2 m/s² upward (z-direction).**

Identify components: ax = 3 m/s², ay = 4 m/s², az = 2 m/s²

Square components: ax² = 9, ay² = 16, az² = 4

Sum squared values: 9 + 16 + 4 = 29

Take square root: √29 ≈ 5.39 m/s²

The **magnitude of acceleration** for the drone is approximately 5.39 m/s².

**Related Tools:**