Answer:
122.5 N
Explanation:
The free body diagram in the bucket at the top of the circle is shown in the attached image.
The force balance hence, is
T + mg = mv²/r
where T = tension in the rope = ?
mg = weight of the bucket system
mv²/r = force keeping the bucket in circular motion.
v = velocity of the bucket = 7.8 m/s
r = radius of the circular path = 1.0 m
T + mg = mv²/r
T + (2.4×9.8) = (2.4×7.8²)/1
T = 146.016 - 23.52 = 122.496 N
