]>Characterizing Vibrating Cantilevers for Liquid Viscosity and Density Sensing : Table 3
Table 3: Determination of viscosity and density of an olive oil sample by means of vibrating cantilevers. The density 𝜌 and the viscosity 𝜂 have been calculated from the measurement results 𝜔 1 = 2 𝜋 𝑓 1 and 𝑇 1 using (19). The density and viscosity obtained by means of weighting and a cone-plate rotational viscometer, respectively, are 𝜂 r e f = 6 6 . 4 m P a ⋅ s and 𝜌 r e f = 9 1 3 k g m − 3 .
Cantilever 𝑓 1 𝑇 1 Viscosity 𝜂 Density 𝜌
Tip A 9 5 . 0 7 H z 8 8 . 2 4 𝜇 s 6 6 . 4 m P a ⋅ s 9 1 9 . 7 k g m − 3
Tip B 1 0 3 . 1 5 H z 5 8 . 8 0 𝜇 s 6 2 . 9 m P a ⋅ s 9 2 1 . 4 k g m − 3
Tip C 9 4 . 4 4 H z 5 0 . 4 3 𝜇 s 6 4 . 6 m P a ⋅ s 9 2 0 . 1 k g m − 3
Tip D 9 5 . 8 3 H z 4 0 . 8 8 𝜇 s 6 7 . 6 m P a ⋅ s 9 0 8 . 6 k g m − 3