Switch Angle Formula:
Definition: This calculator determines the switch angle (divergence angle) based on the heel divergence and length of the tongue rail.
Purpose: It helps railway engineers and technicians calculate the proper angle for railway switches to ensure safe and efficient train operations.
The calculator uses the formula:
Where:
Explanation: The inverse sine function calculates the angle whose sine equals the ratio of heel divergence to tongue rail length.
Details: Proper switch angle calculation ensures smooth train movement through switches, reduces wear on rails and wheels, and prevents derailments.
Tips: Enter the heel divergence and tongue rail length in meters. Both values must be > 0. Results are shown in both radians and degrees.
Q1: What is heel divergence?
A: Heel divergence is the distance between the running faces of stock rail and gauge face of the tongue rail at the heel of the switch.
Q2: What's a typical tongue rail length?
A: Tongue rail length varies by railway standard but typically ranges from 3 to 15 meters depending on the switch type and application.
Q3: Why show results in both radians and degrees?
A: Radians are mathematically precise, while degrees are more intuitive for practical applications and field measurements.
Q4: What does the ±5% tolerance mean?
A: It indicates the acceptable measurement variation for input values in field conditions.
Q5: How does switch angle affect train operations?
A: Larger angles allow higher divergence but may cause more wear and impact, while smaller angles provide smoother transitions but less divergence.