Question

a loaded tube is 1.5kg placed in liquid of 9.5g/dm³ was made to oscillate vertically when slightly pushed down, if the time for 50 oscillation is 35 sec determine. a) periodic frequency b) angular velocity

Answer 1

Mass of tube$(M)=1.5\space kg$

Density of tube $(\rho)=9.5\space g/dm^3=9.5 \space kg/m ^3$

(a) Time taken for 50 oscillations = 35 s

Time Period $(T)=\dfrac{35}{50}=0.7\space s$

Frequency$(f)=\dfrac{1}{T}=1.428\space s^{-1}$

(b) Angular Velocity$(\omega)=2\pi T=4.39\space rad/s$