A cylinder 100 mm in diameter and 80 mm long with an initial temperature of 527 C is suddenly exposed to water at 27 C giving a convective heat transfer coefficient of 400 W/m2-K. Determine the temperature at the center of the cylinder after 10 minutes. Assume density is 8050 kg/m3, specific heat is 536 kJ/kg-K, and thermal conductivity is 18.6 W/m-K.

**** Not lumped Capacitance Problem. ****

You have been chosen to be the one of few to go to Mars. On Mars you have a standard 55 gal water drum (height = 35 in, diameter = 23 in) filled with water. You are unlucky that the pump is broken to get the water out. But you are an a NASA astronaut, you find a spike (length = 6.5 in to the point, width = 0.5 in and 0.5 in) and a hammer. You need the water to humidify the pressurized living area. After you find a spike, you are unlucky because your fellow astronaut has been effected by the space travel and the low gravity and is now not functioning right. He has now put holes in the drum without thinking. You have been wondering this whole mission on how your partner made it though training and now you wish they were back on earth. Gravity on Mars is 3.711 m/s2?.

(Part A) Use the Bernoulli Equation to solve for the volumetric flow rate at time t=0 sec, if your partner has put the hole 3 inches from the top.

(Part B) Now do part A with Balance Equations (e.g., mass, linear momentum, angular momentum and energy) and solve for the volumetric flow rate at time t=0 s. Do not set any velocity to zero. Is setting velocity to zero a good assumption?

(Part C) Computational Section: Before you could stop your partner, 3 more holes with the spike (total of 4) have gone down the drum. The first hole is 3 in from the top, second hole is 5 in from the first hole, the third hole is 5 in from the second hole and the last hole is 2 in from the third hole. Viscous effects are negligible. Please attach (1) a graph of water height in the drum versus time and (2) a graph the fluid velocity versus time. (3) Note the time when it stops draining for each hole.

(Part D) Computational Section: Now do part C with the bottom 3 holes created every second. Please attach (1) a graph of water height versus time and (2) a graph the velocity versus time. (3) If you made it back at t=3 sec with a bucket, how much water can you save? (4) Note the time it stops draining for each hole.

Derived the time response of first order system with the ramp input using Laplace transform.

Can you provide an application example to illustrate the importance of prototyping a part with different colors?

Describe some of the major challenges associated with the management of supplier organizations and

related activities.

4. For the Japanese wind lens turbine, the effect of the shroud is to reduce the downstream pressure, e.g., in the rotor wake, say by ?P. Show by modifying the Betz limit, how power production can actually be greater than the Betz limit. Your power production should be a function of a = v4/V. Assume v4 and S4 are known. Get it as close as you can. In the process, recognize that the wind speed at the rotor plane and even in the wake region are greater than the measured wind speed in free stream. Consider the stream tube below. Follow the same methodology used to derive the Betz limit.

(i). Relate all mass flows at each section to the downstream mass flow rate at section 4.

(ii). Apply conservation of mass to relate section areas to S4.

(iii). Apply conservation of linear momentum applied to and Bernouli’s equation to calculate the drag force, D, across the rotor plan.

(iv). Equate these expressions for Drag.

(v). Use conservation of energy to estimate power production as a function of a = v¬4 / V.

Matlab script that uses loops to create a multiplication table (matrix) where the user enters 'n' (nxn chart).

A multi-disc wet clutch is to transmit 120 Nm of torque at 1000 rpm using sintered friction material.

(i) Assuming uniform wear, find the outside and inside diameters required if ri = 0.577ro.

(ii) What is the power transmitted?

(iii) Using the diameters found in (i), determine the power transmitted when the clutch is new.

For a 1DOF system, how many natural frequency (frequencies) does it have? How many vibration(s) could it possibly have?

Select the best answer for the question. 7. Which one of the following statements about diesel engines is true? A. The temperature of the fuel in a diesel engine has an effect on the power output. B. Diesel engines deliver usable torque through a much wider rpm range than gasoline engines. C. Diesel engines run quieter than gasoline engines. D. Acceleration is faster with a diesel engine compared to a gasoline engine.

A seamless blank unstayed dished head with pressure on the concave side has a diameter of 1,016mm and is a segment of a sphere with a dish radius of 889 mm, The thickness of the dished head is 25.4mm. The maximum allowable stress value of dished- head material (carbon steel, SA- 285- A) is 88.9 MPa, which has an operating temperature of no more than 250 C. Determine the maximum allowable working pressure of the blank unstayed dished head.

The following data collected from a steam turbine of 25 MW capacity thermal power plant:

Assume R for air as 287 kJ/kg C

Steam condensed = 40000 kh/hr

Temperaure of steam in condenser =40 degree

Dryness of steam enetring condenser = 0.85

Air leakage in the condenser = 140 kg/hr

Temperature of codenser =35 degree

Temperature at the suction of air pump = 32 degree

Borometer reading = 76 cm of Hg

Maximum rise in cooling water temperature =12 degree

Find : 1. Vacuum gauge reading in condenser , 2.Capacity of dry air pump in cume meter per hour 3.Quantity of cooling water passes through condenser in tons per hour

8. Consider a potato being baked in an oven that is maintained at a constant temperature. The temperature of the potato is observed to rise by 5°C during the first minute. What will be the temperature rise during the second minute? A. Less than 5°C B. More than 5°C C. Equal to 5°C D. No temperature rise

explain the difference between a saturated and an unsaturated carbon-containing molecule.