Helix is a type of curve in three-dimensional space formed by a straight line drawn on a plane. The curve can become a straight line if the surface were unrolled into a plane, with the distance to the apex is an exponential function of the angle indicating direction from the axis. Helix is also called as 'Helices', 'helixes'.
π = 3.1415926 r = Radius h = Height required for Helix to complete one revolution
For example, consider that an antenna is constructed in XF7 using the helix script. It will expand along the Z-axis and will have a radius of 50 cm. In addition, height of the helix curve is 2 cm and the angle made by the curve is 360.Calculate the circumference, length, handrail radius of the curve.
Radius = 50, Height = 2, Angle = 360
Circumference Height (h) Length Unit Rise Handrail Radius
Let us calculate the circumference, length, handrail radius of the helix curve.
Let us first calculate the value of circumference.
| Circumference | = 2πr |
| = (2 x 3.1415926 x 50) | |
| = 314.15926 |
Calculate the value of height by substituting the values in the formula,
| h | = (height of helix x 360) / angle |
| = (2 x 360) / 360 | |
| = 2 |
Calculate the length of helix by substituting the values in the formula,
| Length | = √h2 + circumference2 |
| = √22 + 314.159262 | |
| = √4 + 98696.04064 | |
| = 314.1656 |
Find the value of Unit Rise.
| Unit Rise | = h / circumference |
| = 2 / 314.15926 | |
| = 0.00637 |
Finally, let us calculate the handrail radius of the helix curve,
| Handrail Radius | = (4π2r2 + h2) / 4π2r |
| = ((4 x 3.14159262 x 502) + 22) / (4 x 3.14159262 x 50)) | |
| = (98696.040643748 + 4) / 1973.920812875) | |
| = 50.00203 |
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