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Scale Speed Formula:
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The scale speed calculation converts real-world speed to scale speed using the formula: Scale Speed = Real Speed / √Scale. This is commonly used in model railways, automotive models, and other scaled representations to determine appropriate speed equivalents.
The calculator uses the scale speed formula:
Where:
Explanation: The square root accounts for the relationship between linear dimensions and speed in scaled models, providing accurate speed representation.
Details: Accurate scale speed calculation is essential for realistic model operation, proper animation timing, and creating authentic-looking motion in scaled representations across various hobbies and industries.
Tips: Enter real speed in mph and scale as a unitless ratio. Both values must be positive numbers greater than zero for accurate calculation.
Q1: Why use the square root in the calculation?
A: The square root accounts for the relationship between linear dimensions (which scale directly) and speed (which scales with the square root) in physical models.
Q2: What are common scale values used?
A: Common scales include 1:12, 1:24, 1:48, 1:87 (HO scale), 1:160 (N scale), and 1:220 (Z scale) for various modeling applications.
Q3: Can this calculation be used for different speed units?
A: Yes, but ensure consistency - if real speed is in mph, scale speed will also be in mph. Convert units as needed before calculation.
Q4: How accurate is this calculation for different types of models?
A: The formula provides a good approximation for most scale modeling purposes, though some specialized applications may require additional factors.
Q5: Is this calculation specific to UK measurements?
A: While this calculator uses mph, the mathematical relationship applies universally regardless of measurement system used.