A bucket of mass 1.9 kg is whirled Ina vertical circle of radius 1.05m. At the l
ID: 1437649 • Letter: A
Question
A bucket of mass 1.9 kg is whirled Ina vertical circle of radius 1.05m. At the lowest point of its motion the tension in the rope supporting the bucket is 25.0 N. A) find the speed of the bucket. B) how fast must the bucket move at the top of the circle so that the rope does not go slack? A bucket of mass 1.9 kg is whirled Ina vertical circle of radius 1.05m. At the lowest point of its motion the tension in the rope supporting the bucket is 25.0 N. A) find the speed of the bucket. B) how fast must the bucket move at the top of the circle so that the rope does not go slack?Explanation / Answer
A. the speed of the bucket at it slowest point:
F = F1+F2 = 25.0N
F2 = 25-F1
F1=m*g=1.90*9.81=18.639N
F2=v^2/r=v^2/1.05
F3 = 25 - 18.639 = 6.361 N
Now
v^2/r = F2
v^2 = 6.361*1.05 = 6.679
v = 2.584 m/sec
B.
the speed of bucket move at the top of the circle so that the rope does not slack:
F = 0 = F1 + F2
F1 = -1.9*9.81 = 18.639
F2= = 18.639 = v^2/r
v^2 = 18.639*1.05
v = sqrt(18.639*1.05) = 4.423 m/sec
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