Dimensionless refers to quantities that do not have any associated physical units, meaning they are pure numbers without dimensions such as length, mass, or time. Examples include ratios like the coefficient of friction, the Reynolds number in fluid dynamics, or percentages. These quantities often arise in mathematical equations and models, allowing for comparisons and scaling without the influence of specific units. Dimensionless numbers are particularly useful in physics and engineering for simplifying complex relationships.
Correct: it is a dimensionless number.
A dimensionless number has no units. The units of all variables that compose the dimensionless number (product or ratio) must cancel each other.
Yes. Conversion factors will generally be dimensionless constants.
No, but an angle is dimensionless.
infinity
the dimensionless numbers have the definition as that of dimensionless groups, and have all the properties which dimensionless groups have.
Angles are not dimensionless.
Correct: it is a dimensionless number.
No, a dimensionless quantity does not have a unit because it represents a pure number without any physical dimension. Examples of dimensionless quantities include ratios, proportions, and mathematical constants.
A dimensionless number has no units. The units of all variables that compose the dimensionless number (product or ratio) must cancel each other.
If a quantity is "dimensionless", that means it has no units, and it's just a number.
Yes. Conversion factors will generally be dimensionless constants.
energy/mass example: calories/gram
No. "Dimensionless" means there are NO units involved.
Yes.
It is a dimensionless parameter since its just a ratio between two quantities of same unit.
No, but an angle is dimensionless.