Answer:
0.54938 seconds
Explanation:
M = Mass of ornament = [tex]2\times 10^{-2}\ kg[/tex]
R = Radius = [tex]4.5\times 10^{-2}\ m[/tex]
g = Acceleration due to gravity = 9.81 m/s²
Relation between moment of inertia and time period is given by
[tex]T=2\pi\sqrt{\frac{I}{MgR}}[/tex]
When [tex]I=\frac{5}{3}MR^2[/tex]
[tex]T=2\pi\sqrt{\frac{\frac{5}{3}MR^2}{MgR}}\\\Rightarrow T=2\pi\sqrt{\frac{\frac{5}{3}R}{g}}\\\Rightarrow T=2\pi\sqrt{\frac{\frac{5}{3}4.5\times 10^{-2}}{9.81}}\\\Rightarrow T=0.54938\ s[/tex]
The period is 0.54938 seconds
