No, stress is not a dimensionless quantity. By application of a simple equation of stress, axial stress, we can determine the primary dimensions (Length, Time, Mass, Etc.) of stress.
Stress (sigma) = Force (F)/Area (A)
Force has the primary dimensions of: (Mass*Length)/Time^2
Area has the primary dimensions of: Length^2
Therefore we can determine that Stress has the primary dimensions of: Mass/(Length*Time^2)
Common units include: Newtons (SI), psi (pounds mass per square inch)
You may have confused stress with strain. Strain has primary dimensions of Length/Length and therefore it is often expressed without any attached units.
no,stress is not a vector quantity.because stress/strain=youngs modulus.if stress will be a vector quantity youngs modulus will be a vecotor quantiy because stress is dimesionless which is not true
"Dimensionless" means it doesn't have a unit.
Strain is dimensionless quantity because strain is the ratio of the same quantities like change in length/original length,,change in volume/original volume. e.g tensile strain=(change in length)/(original length)=m/m (S.I unit) so its a dimensionless quantity.
No. "Dimensionless" means there are NO units involved.
No, "dimensionless" means, precisely, that there are no units.
Yes. Look at the Wikipedia aritcle on "dimensionless quantity". Here are two examples: 1. Angles, when measured in radians, can be considered the ratio of the arc of a circle to the radius. The result is a dimensionless number. 2. The coefficient of friction, which is the ratio between two forces. Dimensionless quantities often appear as a result of taking the ratio of two measurements.
If a quantity is "dimensionless", that means it has no units, and it's just a number.
energy/mass example: calories/gram
"Dimensionless" means it doesn't have a unit.
Strain is dimensionless quantity because strain is the ratio of the same quantities like change in length/original length,,change in volume/original volume. e.g tensile strain=(change in length)/(original length)=m/m (S.I unit) so its a dimensionless quantity.
the dimensionless numbers have the definition as that of dimensionless groups, and have all the properties which dimensionless groups have.
No. "Dimensionless" means there are NO units involved.
infinity
Yes. Conversion factors will generally be dimensionless constants.
Yes, the magnitude of a vector is a scalar.
No, "dimensionless" means, precisely, that there are no units.
The coefficient of friction is a scalar quantity which has no direction which does not have an angle.
The coefficient of friction is dimensionless; it has no units.