Answer:
69.66 rad/s
Explanation:
Suppose the handle of the crank is L = 1 m long. We can calculate the torque:
T = F*L = 258*1 = 258 Nm
Then the angular momentum is given to the handle within 0.27 seconds is
[tex]M_{\alpha} = T*t = 258*0.27 = 69.66[/tex] rad/s