Question #809   Submitted by Answiki on 11/08/2021 at 06:38:40 PM UTC

How to convert radians to meters ?

Answer   Submitted by Answiki on 11/08/2021 at 06:45:30 PM UTC

You can't actually convert radians to meters. Radian is a measure of angle, while meters 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 radians 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 radians [rad]


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 2π = 6π radians. The distance is therefore:






8 events in history
Question by Answiki 11/08/2021 at 06:48:29 PM
What is the formula to convert radians [rad] to meters [m]?
Question by Answiki 11/08/2021 at 06:48:17 PM
How to convert rad to m?
Question by Answiki 11/08/2021 at 06:48:11 PM
What is the formula to convert rad to m?
Question by Answiki 11/08/2021 at 06:48:02 PM
What is the formula to convert radians to meters?
Answer by Answiki on 11/08/2021 at 06:45:30 PM

You can't actually convert radians to meters. Radian is a measure of angle, while meters 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 radians 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 radians [rad]


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 2π = 6π radians. The distance is therefore:






Answer by Answiki on 11/08/2021 at 06:44:25 PM

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


However, there are many mechanical systems that transform linear motion into rotary 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 displacement given in meters into a rotation of an angle expressed in radians 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 radians [rad]


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 2π = 6π radians. The distance is therefore:






Answer by Answiki on 11/08/2021 at 06:43:11 PM

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


However, there are many mechanical systems that transform linear motion into rotary 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 displacement given in meters into a rotation of an angle expressed in radians 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 radians [rad]


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 2π = 6π radians. The distance is therefore:






Question by Answiki 11/08/2021 at 06:38:40 PM
How to convert radians to meters ?
# ID Query URL Count
0 937 radians to meters https://en.ans.wiki/809/how-to-convert-radians-to-meters 1

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