Question #5728

# How to convert degrees to meters ?

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You can't actually convert degrees to meters. Degree is a measure of angle, while meter is a unit of distance. There is an homogeneity issue between the two quantities.

However, there are many mechanical systems that transform rotary motion into linear motion. The most obvious system is the wheel: the rotation of the wheel moves the vehicle forward and vice versa. In this case, the formula governing such a system and allowing to transform a rotation of an angle expressed in degrees into a displacement given in meters is given by:

﻿﻿

﻿﻿

with :

• ﻿﻿ the distance or length expressed in metres [m]
• ﻿﻿ is the radius expressed in metres [m]
• ﻿﻿ is the rotation angle expressed in degrees [deg]

Take the example of a vehicle equipped with wheels with a radius of 0.25 m (50 cm in diameter). Assume the wheel makes 3 turns, we can calculate the distance traveled by the vehicle. The angle of rotation of the wheel is 3 turns x 360° = 1080°. The distance is therefore:

﻿﻿

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