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.NoStyle
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I'm inclined to believe that radius is a measure of length, so doesn't that mean it's dimensional?
I am probably wrong...
thanks
I am probably wrong...
thanks
.NoStyle said:I'm inclined to believe that radius is a measure of length, so doesn't that mean it's dimensional?
I am probably wrong...
thanks
calef said:I think you're thinking of radians which in fact are dimensionless.
For a dimension to be dimensionless means that it does not have any units associated with it. This means that it is a pure number and does not have a physical quantity attached to it.
No, the radius is not a dimensionless quantity. It has units associated with it, such as meters or centimeters. The radius is a physical quantity that represents the distance from the center of a circle or sphere to its outer edge.
The radius is sometimes referred to as a dimensionless quantity because it can be expressed as a ratio of two quantities with the same units, such as the circumference divided by the diameter for a circle. In this case, the units cancel out and the resulting value is a pure number without any units.
Yes, the radius can be converted to a dimensionless quantity by dividing it by another quantity with the same units. This is often done in mathematical equations to simplify calculations.
Some examples of dimensionless quantities include angles (measured in radians or degrees), percentages, and unitless ratios such as the Reynolds number in fluid dynamics. These quantities do not have any physical units associated with them and are considered dimensionless.