Verify the correctness of F=6πnrv
Answers
) Angle of depression =∅ cos∅= mgl²/4bd³Y
cos∅ is dimensionless as generally it is ratio of sides i.e, L/L =L⁰ which is dimensionless.
⇒⇒mgl²/4bd³Y must be dimensionless.
Y represents "young's modulous" = Stress/strain =[dimensions of pressure]
Y=[Force/area]=[MLT⁻²/L²]=[ML⁻¹T⁻²]
Dimensions of mgl²/4bd³Y = MLT⁻²*L²/L*L³*ML⁻¹T⁻² =ML³T⁻²/ML³T⁻²
=M⁰L⁰T⁰
So, mgl²/4bd³Y is dimensionless.
______________________________________________________
2) v=(√Elasticity/density)
Dimensions of velocity =LT⁻²
Dimensions of elasticity = [Dimensions of pressure]
As, it is defined as the ratio of tangential stress to the shearing strain and strain is dimensionless and stress has the dimensions of pressure.
Read more on Brainly.in - https://brainly.in/question/1262772#readmore