# Physics Question??

A bucket filled with water has a mass of 4.54 kg. It is tied to a

65 cm-long rope that can withstand a force of 525 N. The

bucket is spun at a constant speed with a frequency of 2.0 Hz.

a. Calculate the tension in the rope at the bottom of the circle.

b. Using only the answer from a, can you determine if the rope is strong

enough to withstand the circular motion? Explain??

### 1 Answer

- FiremanLv 71 month ago
Given: n = 2 Hz

=>by ω = 2πn

=>ω = 2 x 3.14 x 2 = 12.56 rad/sec

=>by v = rω

=>v = 0.65 x 12.56

=>v = 8.16 m/s

(a) Let the tension in the rope is T newton at the top:

=>T = mv^2/r - mg

=>T = 4.54 x [{(8.16)^2/0.65 - 9.8]

=>T = 421.04 N

(b) T will be maximum at bottom, for bottom by

=>T = mv^2/ + mg

=>T = 4.54 x [{(8.16)^2/0.65 + 9.8]

=>T = 509.57 N

As 509.57 N < 525 N, the rop will withstand the circular motion.