Loading [MathJax]/jax/output/CommonHTML/jax.js

Vertical and Horizontal Component Calculator

Calculate Components



Formulas

To calculate the vertical and horizontal components of a vector:

Vc=Msin(a)

Hc=Mcos(a)

Where:

Vertical and Horizontal Components

Vertical and horizontal components are the values of the base and height of a triangle formed with a vector as measured from the x-axis of a graph. In other words, when the horizontal and vertical components are put together to form a triangle, the resulting hypotenuse is the original vector.

Example Calculation 1

Let's assume the following values:

Using the formulas:

Step 1: Convert the angle to radians:

a=30×π1800.524 radians

Step 2: Calculate the vertical component:

Vc=10×sin(0.524)5

Step 3: Calculate the horizontal component:

Hc=10×cos(0.524)8.66

Example Calculation 2

Let's assume the following values:

Using the formulas:

Step 1: Convert the angle to radians:

a=45×π1800.785 radians

Step 2: Calculate the vertical component:

Vc=20×sin(0.785)14.14

Step 3: Calculate the horizontal component:

Hc=20×cos(0.785)14.14