A Calculadora de grados a pulgadas converts an angular measurement in degrees into a linear distance in inches along a circular arc. This conversion is essential in engineering, construction, machining, and automotive design, where precise curved medidas Se necesitan.
Importance of Degrees to Inches Conversion:
- Used in Engineering & Machining: Helps in cutting and shaping curved materials.
- Essential for Construction & Roadway Design: Converts angular measurements into real-world distances.
- Important in Automotive & Aerospace: Determines curved surface dimensions accurately.
- Applied in Robotics & Motion Control: Ensures precision in rotational movements.
Formula of Degrees to Inches Calculator
La conversión de degrees to inches depende de radius (r) of the circular arc and follows this formula:
Inches = (Degrees / 360) × (2πr)
Lugar:
- Grados = Angle in degrees.
- r = Radius in inches.
- π ≈ 3.1416.
- 360° represents a full circle.
Esta fórmula calcula la arco de largo, which is the linear distance covered along a circular path.
Degrees to Inches Reference Table
The table below provides pre-calculated values for common degree-to-inch conversions with a 10-inch radius:
| Grados | Arc Length (Inches) (r = 10") |
|---|---|
| 1° | 0.1745" |
| 5° | 0.8727" |
| 10° | 1.7453" |
| 15° | 2.6180" |
| 30° | 5.2360" |
| 45° | 7.8540" |
| 60° | 10.4720" |
| 90° | 15.7080" |
| 180° | 31.4160" |
| 360° | 62.8320" |
This table allows for quick reference and application in real-world scenarios.
Example of Degrees to Inches Calculator
Supongamos que un ingeniero automotriz needs to calculate the longitud de arco creando Grado 60 turn on a steering wheel with a radio de 15 pulgadas.
Paso 1: aplicar la fórmula
Inches = (60 / 360) × (2 × 3.1416 × 15)
Paso 2: resuelve la ecuación
Inches = (60 / 360) × (94.2480)
Inches = 0.1667 × 94.2480 = 15.71 pulgadas
Por lo tanto, un Giro de grado 60 en un 15-inch radius results in an arc length of 15.71 pulgadas.
Preguntas frecuentes más comunes
This conversion is essential in design, engineering, and construction, where curved distances must be measured precisely.
The radius depends on the trayectoria circular de movimiento, como wheel diameter, curved roads, or machining operations.
Yes, astronomers and physicists use similar formulas to calculate arc distances on celestial bodies.