To calculate the vertical and horizontal components of a vector:
Vc=M⋅sin(a)
Hc=M⋅cos(a)
Where:
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.
Let's assume the following values:
Using the formulas:
Step 1: Convert the angle to radians:
a=30×π180≈0.524 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
Let's assume the following values:
Using the formulas:
Step 1: Convert the angle to radians:
a=45×π180≈0.785 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