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Gradient Calculator Percentage

Gradient Formula:

\[ \% Gradient = \frac{Rise}{Run} \times 100 \]

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1. What is Gradient Percentage?

Gradient percentage represents the steepness of a slope expressed as a percentage. It measures the vertical rise relative to the horizontal run, commonly used in civil engineering, road construction, and landscaping to describe slope steepness.

2. How Does the Calculator Work?

The calculator uses the gradient percentage formula:

\[ \% Gradient = \frac{Rise}{Run} \times 100 \]

Where:

Explanation: The formula calculates the ratio of vertical rise to horizontal run and converts it to a percentage by multiplying by 100.

3. Importance of Gradient Calculation

Details: Gradient percentage is crucial for designing roads, railways, drainage systems, and building foundations. It ensures proper water runoff, vehicle safety, and structural stability.

4. Using the Calculator

Tips: Enter rise and run values in meters. Both values must be positive numbers greater than zero. The calculator will compute the gradient percentage automatically.

5. Frequently Asked Questions (FAQ)

Q1: What is considered a steep gradient?
A: Generally, gradients above 10% are considered steep, while above 20% are very steep and may require special engineering considerations.

Q2: How does gradient percentage relate to degrees?
A: Gradient percentage = tan(angle in degrees) × 100. For example, a 45° angle equals 100% gradient.

Q3: What are typical road gradients?
A: Main roads typically have gradients under 6%, while mountain roads may reach 8-12%. Maximum gradients are regulated for safety.

Q4: Can gradient be negative?
A: In percentage terms, gradient is always positive as it represents steepness. Negative values would indicate direction, not steepness.

Q5: Why use percentage instead of ratio?
A: Percentage is more intuitive for most people and is the standard in many engineering and construction applications.

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