Answer:
The torque needed is 46.08 Nm
Explanation:
Given;
angular velocity, ω = 12 rad/s
time of motion, t = 0.5 s
length of the baton, r = 0.8 m
mass of the baton, 0.5 kg
The torque needed to reach the angular velocity is given by;
τ = F x r
where;
F is the centripetal force of the baton
r is the length of the baton = radius of the circular motion of the baton
Torque is given by;
Therefore, the torque needed is 46.08 Nm