Turn to Gradian Converter

Result

400
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Conversion Formula

Factor

1 turn=400 grad1\ \mathrm{turn} = 400\ \mathrm{grad}

Formula

grad=turn×400\mathrm{grad} = \mathrm{turn} \times 400

Unit Description

Turn (turn)

Definition

A turn is a unit of angular measurement representing one complete rotation or revolution, equal to 360 degrees or 2π radians. It represents the most fundamental concept of rotational measurement.

History

The concept of a complete turn or revolution has been understood since ancient times, but its formal use as a unit of measurement became more common in modern mathematics and engineering. It provides an intuitive way to express rotational quantities without conversion factors.

Current Use

Turns are used in mechanical engineering for describing rotational speed (revolutions per minute), in computer graphics for rotation transformations, and in some mathematical contexts where full rotations are more natural than degrees or radians. They're also used in describing gear ratios and motor specifications.

Gradian (grad)

Definition

A gradian (grad), also called a gon, is a unit of angular measurement where a full rotation is divided into 400 gradians. One gradian equals 1/400 of a complete circle, making a right angle equal to 100 gradians.

History

The gradian was introduced during the French Revolution as part of the metric system around 1795. It was designed to decimalize angle measurement, making calculations easier by using base-10 arithmetic. The system was promoted alongside other metric reforms but never achieved widespread adoption outside of surveying.

Current Use

Gradians are primarily used in surveying and some European engineering applications. They're particularly common in land surveying in France, Germany, and other parts of Europe. Some surveying instruments and software support gradian measurements, though degrees remain more common globally.

Conversion Table

Turn(turn)
Gradian(grad)
1
400
2
800
3
1,200
4
1,600
5
2,000
6
2,400
7
2,800
8
3,200
9
3,600
10
4,000
Page 1

Conversion Examples

Convert 1 Turn to Gradian

  1. Conversion Factor: 1 turn = 400 grad
  2. Conversion Formula: grad = turn × 400
  3. Calculation: 1 turn × 400 = 400 grad

Convert 10 Turn to Gradian

  1. Conversion Factor: 1 turn = 400 grad
  2. Conversion Formula: grad = turn × 400
  3. Calculation: 10 turn × 400 = 4,000 grad

Convert 100 Turn to Gradian

  1. Conversion Factor: 1 turn = 400 grad
  2. Conversion Formula: grad = turn × 400
  3. Calculation: 100 turn × 400 = 40,000 grad

Convert 1,000 Turn to Gradian

  1. Conversion Factor: 1 turn = 400 grad
  2. Conversion Formula: grad = turn × 400
  3. Calculation: 1,000 turn × 400 = 400,000 grad
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