3. A 2.0 kg pulley, assumed to be a cylinder, is fixed at a height of 6.0 m and rotates with a constant angular velocity of 20 rad/s. If the mechanical
energy of the pulley is 300 J, what is its radius? [7 marks]

Aproduction line at v. j. sugumaran's machine shop has three stations. the first station can process a unit in 7 minutes. the second station has two identical machines, each of which can process a unit in 16 minutes (each unit only needs to be processed on one of the two machines). the third station can process a unit in 10 minutes. ▼ is the bottleneck station, with a bottleneck time of nothing minutes per unit (enter your response as a whole number).