Find the distribution of temperature inside a sphere of radius a when the surface of the...

Find the distribution of temperature inside a sphere of radius a when the surface of the upper half is held at 100°C and the surface of the lower half at 0°C

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genius_generous answered 1 year ago

If a charge "Q" is removed from the inside surface of a hollow sphere of radius...

If a charge "Q" is removed from the inside surface of a hollow sphere of radius "a" with infinite conductivity. (a)How much force is required to remove the charge from the sphere? (b)How much work is done to move the charge to a radius of infinity?

An iron sphere has a radius of 0.7 meters and its surface temperature is 400 K....

An iron sphere has a radius of 0.7 meters and its surface temperature is 400 K. It is surrounded by air whose temperature is 300 K. The emissivity of iron and air is 0.985. to. Find the heat flux that is emitted by radiation from the iron sphere. b. Find the net flow of heat from the iron sphere.

Problem 8. An iron sphere has a radius of 0.7 meters and its surface temperature is...

Problem 8. An iron sphere has a radius of 0.7 meters and its surface temperature is 400 K. It is surrounded by air whose temperature is 300 K. The emissivity of iron and air is 0.985. a.Find the heat flux that is emitted by radiation from the iron sphere. b. Find the net flow of heat from the iron sphere

(i) Find the cylinder inscribed in a sphere with radius one with the largest surface area.

Find the temperature distribution T(r,θ,z) inside a cylinder of height z= 20 and radius r= 8...

Find the temperature distribution T(r,θ,z) inside a cylinder of height z= 20 and radius r= 8 , if the cylinder temperature is zero in all surface except the bottom circular surface where it is divided two halves , the first is held at T1= 100 c and the other is held at T2=200 c. please use laplace equation and show me the solution with the details of the derivation .

A composite series wall has an inside surface temperature of 1600F and outside surface temperature of...

A composite series wall has an inside surface temperature of 1600F and outside surface temperature of 500F. If it consists of 3.5 in. of mineral wool, 0.05 in. of plaster on the outside, and 0.75 in. of cork board on the inside, determine the heat loss in a 120 square foot of wall.

The surface area of a sphere of radius r is S = 4πr2. Its volume is

The surface area of a sphere of radius r is S = 4πr2. Its volume is V = 4πr3/3. a. Use MuPAD to find the expression for dS/dV. b. A spherical balloon expands as air is pumped into it. What is the rate of increase in the balloon’s surface area with volume when its volume is 30 in.3?

Consider a particle which is constrained to move along the surface of the sphere of radius...

Consider a particle which is constrained to move along the surface of the sphere of radius 5, centered at the origin. (a) If we write r(t) for the motion, write down the condition ‘constrained to move along the surface of the sphere of radius 5 centered at the origin’ in terms of r(t). (Hint. For later use, try to get rid of square roots.) (b) Explain why, for such a motion, we must have r 0 (t) ⊥ r(t). (Hint....

7.1.2. A pulsating sphere of radius a vibrates with a surface velocity amplitude U0 and at...

7.1.2. A pulsating sphere of radius a vibrates with a surface velocity amplitude U0 and at such a high frequency that ka >> 1. Derive expressions for the pressure amplitude, the particle velocity amplitude, the intensity, and the total acoustic power radiated in the resulting acoustic wave.

Write a program that reads the radius of a sphere and calculates it's volume and surface...

Write a program that reads the radius of a sphere and calculates it's volume and surface area. Format results to 4 decimal places. The radius=3.2 Your program should output volume and surface area. Repeat same steps for program2, but this time use the following input values: a= ꟷ2.4 , b = 4.5 . Your program should output sum, Fun1, and Fun2. It's for C++

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