Answer:
0.435 m/s
Step-by-step explanation:
Assuming that the missing sketch is what I've attached,
length of the handle = 0.2 m
Tangential speed (v) = 1.74 m/s
angular speed

The rod where bucket tied through the rope
Radius = 0.1/2 = 0.05 m

v= 8.7*0.05 = 0.435 m/s