Answer
given,
expression of Kinetic energy of rotating body

ω = 34.0 rad/s
Assuming mass of the particle equal to 13 Kg
and perpendicular distance from the particle to the axis is r = 1.25 m
now,
moment of inertia of particle = ?
from the given expression
..............(1)
we know

v = r ω

putting value in equation (1)



I = 20.3125 kg.m²