The time evolution of the temperature of an object follows the Newton's cooling lawsdTdx=-k(T - Ts),where the term k = 2.2 (1/s) is the heat transfer constant, and Tg = 25.6° C is the ambient temperature.The initial temperature of the object at time t = = 0 is T(t = 0) = 200°C.°CUse the Euler's method, and a time step of h=0.2s, calculate:When t = = 0.2s, T =°CWhen t 1s, T =

Newtons Cooling Law is given as, dTdX=-k (T-Ts) K= 2.2 1/s Ts =25.6 °C t=0 T(t=0) = 200 °C h=…

The time evolution of the temperature of an object follows the Newton's cooling laws dT dx where the term k = = 2.2 (1/s) is the heat transfer constant, and T = 25.6° C is the ambient tem The initial temperature of the object at time t = = 0 is T(t = 0) 200°C. -k(T - Ts), Use the Euler's method, and a time step of h=0.2s, calculate: When t = 0.2s, T = °C -

The time evolution of the temperature of an object follows the Newton's cooling laws dT dx where the term k = = 2.2 (1/s) is the heat transfer constant, and T = 25.6° C is the ambient tem The initial temperature of the object at time t = = 0 is T(t = 0) 200°C. -k(T - Ts), Use the Euler's method, and a time step of h=0.2s, calculate: When t = 0.2s, T = °C -

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Related questions

Q: Thermistors are semiconductors used for measuring temperature. The electri- cal resistance of a…

Q: Q3 A thin rod of 3 cm length having a thermal diffusivity coefficient (a) of 0.835 cm²/s is…

Q: In fluid mechanics, the equation that models the fluid level in a tank is: dh dt 1 (min-mout) Ap h…

A: Given:To find:Simulink model.

Q: An electrical wire with 0.4cm in diameter and 2.5m long extends across a room with 15deg C…

Q: The steady-state temperature distribution in a one-dimensional wall of thermal conductivity k=83…

A: Given:Thermal conductivity of the wall, k=83 W/m.oCThickness of the wall, L=300 mm=0.3 mTemperature…

Q: 1. Projectile with air resistance: A projectile of mass m is fired vertically upwards from ground…

Q: Which series helps us to derive the discretized form of the governing equation

A: The finite element method, like the finite difference method or the separation of variables…

Q: Q5/ An existing process consists of two steps: (a) One mole of air at T1=900k and p1= 3 bar is…

Q: HEAT TRANSFER CASE: I want to know what temperature in (°F) the cylinder will have inside. It's a…

A: Given that, Inner radius, ri=0.55 in,Outer radius, ro=0.7 in,Length, L=5.7 in,Thermal conductivity,…

Q: Read EK p561, e.g. 1 Find the temperature in a bar of silver of length 10 cm and constant cross…

A: Given: L=10 cmA=1 cm2ρ=10.6 g/cm3k = 1.04 cal/cm-sec-Ccp = 0.56 cal/gC To find: Temperature of the…

Q: The TPD method measures temperature elevations in a tissue region during a heating pulse and its…

A: The Thermal Pulse Decay (TPD) method, which relies on the Pennes bioheat equation for estimating…

Q: "In the steady conduction process, the heat transfer process occurs due to a temperature difference.…

A: I will describe you three method by which you can reduce the heat transfer in gas pipe : 1.…

Q: number 1 A food product containing 75% moisture content is being frozen. Estimate the specific heat…

A: Moisture content =75%=0.7585% water is frozen i.e it contains 85% ice 15%…

Question

The time evolution of the temperature of an object follows the Newton's cooling laws
dT
dx
=
-k(T - Ts),
where the term k = 2.2 (1/s) is the heat transfer constant, and Tg = 25.6° C is the ambient temperature.
The initial temperature of the object at time t = = 0 is T(t = 0) = 200°C.
°C
Use the Euler's method, and a time step of h=0.2s, calculate:
When t = = 0.2s, T =
°C
When t 1s, T =

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1-GIven Data

VIEW

Step 2-Solutions

VIEW

Step 3

VIEW

Step by step

Solved in 3 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions

Derive a formula for the thermal resistance, R₁, for a spherical shell assuming one- dimensional heat flux in the radial direction. The inside and outside radii of the spherical shell are r; and r., respectively, and the shell is made of a material having thermal conductivity k. Assume the temperatures at the inside and outside surfaces of the shell are T and T., respectively. The thermal resistance formula assumes the rate of heat transfer through the spherical shell, Q, is constant. The heat flux is in the radial direction for this one-dimensional case, and the dT heat flux is given by Fourier's law: q, = -k The rate of heat transfer through a dr spherical surface is Q =q₁A where A = 4лr². Derive the formula for the thermal 1 ++)) r = resistance for a spherical shell answer: R₁ 1 1 4лk ri
Recall that a there fore thermodynamie detinihon Constant pressure, AH = 9. We can from the caleulate AS for any process S= arev こナ Use this informmaton to deprive dAS an expressiom for but temperature - Invariant heat capacuty change s Cp. Integrate this equathon Such that Calculate the AS at any temp T given a known value AS, at To for a process Involving a non-zero you Can
Q2/A/ Use the Crank-Nicolson method to solve for the temperature distribution of a long thin rod C with a length of 10 cm and the following values: k = 0.49 cal/(s cm °C), Ax = 2 cm, and At = st 0.1 s. Initially the temperature of the rod is 0°C and the boundary conditions are fixed for all times C=0.2174 cal/g °C) at 7(0, t) = 100°C and T(10, t) = 50°C. Note that the rod is aluminum with and = 2.7 g/cm³. List the tridiagonal system of equations and determined the temperature up P to 0.1 s.
For the following water liquid level system, 9mi(t) is the mass flow rate input deviation to the system and the restrictions can be considered linear resistances about the equilibrium: 9mi h2 Ro R1 a) Using basic fluids principles, develop the Dynamic Equations for the deviation of the two liquid level heights from their equilibrium height as a function of the input mass flow rate, Imi-
Please answer question with as much detail as possible Please Use the “NCEES FE Reference Handbook 10.0.1” which can be downloaded for Free from https://ncees.org/ as your Reference for tables and formulas
Heat Transfer question In order to cool down a hot steel sphere (its diameter is 5 cm), CO2 gas is blown over it through a pipe with a diameter of 10 cm. The CO2 gas is kept at atmospheric pressure while moving through a smooth pipe at a speed of 6 m/sec. The gas temperature entering the pipe is 300K and exiting the pipe is 340 K. The pipe temperature at the entrance is 350K and at the exit is 550K. The sphere is located just about the pipe exit. Find the convective heat transfer coefficient of the gas moving in the pipe, the heat transfer rate at the pipe and the pipe length. What is the surface temperature of the sphere if the heat transfer rate between the sphere and the gas is 7W and its surface temperature is higher than the gas?
i need help with all parts in this question
A J- type thermocouple is used to measure the temperature in a heating process. Sheath material used is SS316. The length of the sheath is 13mm and thickness is 0.3mm. Find the time constant of the sheath. Material Q(kg/m3)s(J/Kg - °c)K(W/m-k) Platinum 21450 130 71.6 SS304 8030 500 21.4 SS316 7990 500 21.4 SS410 7750 460 24.9 Air 1.20 1005 0.025 MgO Powder 3580 877 26.8 Silicon compound3210 800 3 Time constant of the bare material is, T=
36 -S 42 2. Metal castings can sometimes develop a gap between the casting and mold as the molten metal hardens. The result can be a substantially altered cooling process. Set up a simple heat-transfer model that would let you look at the effect of the gap on the cooling process. Assume the casting and mold are square in shape, with an air gap of thickness das shown in the figure. The mold sits in some ambient room temperature. State clearly all assumptions and develop a corresponding model of the heat transfer problem. Assuming that the casting is aluminum, the mold is diatomaceous earth and the gap is filled with air, see if you can arrive at and summarize some insight into the effect of the gap and its size on the heat transfer process.
An unmanned submarine is equipped with temperature and depth measuring instruments and has radio equipment that can transmit the output readings of these instruments back to the surface. The submarine is initially floating on the surface of the sea with the instrument output readings in steady state. The depth measuring instrument is approximately zero order and the temperature transducer first order with a time constant of 50 seconds. The water temperature on the sea surface, , is 20 °C and the temperature at a depth of x meters is given by the relation: If the submarine starts diving at time zero, and thereafter goes down at a velocity of 0.5 meters / second, draw a table showing the temperature and depth measurements reported at intervals of 100 seconds over the first 500 seconds of travel. Show also in the table the error in each temperature reading.What temperature does the submarine report at a depth of 1000 meters?
d²u d²u u(x,t) is solution to steady state 2-D heat equation, + dx² ду2 -=0,with following parameters for numerical approximation: u = u(0,0), u(0,y)=0, u(1,y)=y(1-y), 0
A food product containing a water content of 85% is frozen. Estimate the heat type products at -10 °C when 82% of the water is in its frozen state. Hot product type dry is 2.5 kJ/(kg °C) is assumed to heat this type of water at -10 °C is equal to heat water type at 0 °C, and the heat of the types of ice follow function Cp ice = 0 0062 x T frozen + 2 0649. a. Cp frozen products kJ/kg °C.