A student wishes to predict how the angular frequency of a small–amplitude oscillator…
PHYSICS · Subjective · CBSE · Physics · Units and Measurements · Units and Measurements
Problem
A student wishes to predict how the angular frequency ω of a small–amplitude oscillator depends on its amplitude A, the density ρ of the material involved and the elastic modulus Y of the medium. The expected functional form is ω=f(A,ρ,Y). Explain, with dimensional reasoning, why such a prediction cannot be completed without additional physical information when the actual displacement of the oscillator is given by s=Asin(ωt+ϕ). Your answer should specifically refer to the role of trigonometric functions and the nature of dimensionless quantities.