Question 11. Water (specific heat, cp = 4.18 kJ/kgK) enters a pipe at a rate of 0.01 kg/s and a temperature of 20°C. The pipe, of diameter 50 mm and length 3 m, is subjected to a wall heat flux qnw in W/m2:If qnw = 2500x, where x is in m and in the direction of flow (x = 0 at the inlet), the bulk mean temperature of the water leaving the pipe in °C is

Question 12. Water (specific heat, cp = 4.18 kJ/kgK) enters a pipe at a rate of 0.01 kg/s and a temperature of 20°C. The pipe, of diameter 50 mm and length 3 m, is subjected to a wall heat flux qnw in W/m2:If qnw = 5000 and the convection heat transfer coefficient at the pipe outlet is 1000 W/m2K, the temperature in °C at the inner surface of the pipe at the outlet is

Question 13. In simple exponential smoothing forecasting, to give higher weightage to recent demand
information, the smoothing constant must be close to

Question 14. Customers arrive at a ticket counter at a rate of 50 per hr and tickets are issued in the order of their
arrival. The average time taken for issuing a ticket is 1 min. Assuming that customer arrivals form a
Poisson process and service times are exponentially distributed, the average waiting time in queue
in min is

Question 15. A steel bar 200 mm in diameter is turned at a feed of 0.25 mm/rev with a depth of cut of 4 mm. The rotational speed of the workpiece is 160 rpm. The material removal rate in mm3/s is

Question 16. A metric thread of pitch 2 mm and thread angle 60° is inspected for its pitch diameter using 3-wire method. The diameter of the best size wire in mm is

Question 17. A planar closed kinematic chain is formed with rigid links PQ = 2.0 m, QR = 3.0 m, RS = 2.5 m
and SP = 2.7 m with all revolute joints. The link to be fixed to obtain a double rocker (rockerrocker)
mechanism is

Question 18. Let X be a normal random variable with mean 1 and variance 4. The probability P{X < 0} is

Question 19. If two nodes are observed at a frequency of 1800 rpm during whirling of a simply supported long
slender rotating shaft, the first critical speed of the shaft in rpm is

Question 20. Choose the CORRECT set of functions, which are linearly dependent.