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Calculate The Amount Of Time It Takes To Drain A Desired Volume Of Water From The Tank Shown In The Figure In Terms Of Input Dimensions.

What you should submit: 1. A computer program. 2. A short, but clean well organized, report in PDF format. 3. Show the time needed to empty the tank with three different pipe lengths of 0, H/2, and H, and three different pipe diameters of D/100, D/50

Fluid Flow In Pipes

A fluid flows steadily through a horizontal pipe with varying diameter. At point 1, the pipe diameter is D1=0.2 mD_1 = 0.2 \, \text{m}D1​=0.2m and the fluid velocity is V1=4 m/sV_1 = 4 \, \text{m/s}V1​=4m/s. At point 2, the diameter reduces t

Heat Transfer In A Rod

A cylindrical rod of diameter 0.05 m0.05 \, \text{m}0.05m and length 0.5 m0.5 \, \text{m}0.5m is made of copper (thermal conductivity k=401 W/m\cdotpKk = 401 \, \text{W/m·K}k=401W/m\cdotpK). One end of the rod is maintained at 150 °C150 \,

Bending Moment In A Beam

A simply supported beam of length 6 m6 \, \text{m}6m is subjected to a uniformly distributed load of 2 kN/m2 \, \text{kN/m}2kN/m. Calculate the following:(a) The maximum bending moment in the beam.(b) The location of the maximum bending moment.(c

Projectile Motion Analysis

A projectile is launched with an initial velocity of 50 m/s50 \, \text{m/s}50m/s at an angle of 30∘30^\circ30∘ above the horizontal. Neglecting air resistance, determine:(a) The time of flight.(b) The maximum height reached by the projectile.(c

Control System Stability

Consider a unity feedback control system with the open-loop transfer function G(s)=10s(s+2)G(s) = \frac{10}{s(s + 2)}G(s)=s(s+2)10​. Using the Routh-Hurwitz criterion, determine the stability of the closed-loop system. Also, find the range of the p

Design Of Spur Gears

Design a spur gear pair for a transmission system that requires a gear ratio of 4:1. The driving gear operates at 1800 rpm1800 \, \text{rpm}1800rpm and transmits 10 kW10 \, \text{kW}10kW. Specify:(a) The number of teeth for each gear if the modul

Additive Vs. Subtractive Manufacturing

Discuss the advantages and limitations of Additive Manufacturing (3D printing) compared to traditional subtractive manufacturing techniques such as milling and turning. Include considerations of material properties, production speed, precision, and c

Damping In A Mass-Spring System

A mass-spring-damper system consists of a mass m=2 kgm = 2 \, \text{kg}m=2kg, a spring with stiffness k=500 N/mk = 500 \, \text{N/m}k=500N/m, and a damper with damping coefficient c=20 Ns/mc = 20 \, \text{Ns/m}c=20Ns/m. Determine:(a) The natura

Finite Element Analysis Procedure

Describe the steps involved in conducting a finite element analysis for a structural component under load. Include considerations of mesh generation, boundary conditions, material properties, and the interpretation of results. Illustrate with an exam