Velocity of a gas When a hot gas exits a cylindrical smoke-stack, its velocity varies throughout a circular cross sectionof the smokestack, with the gas near the center of the crosssection having a greater velocity than the gas near the perime-ter. This phenomenon can be described by the formulaV = Vmaswhere Vmax is the maximum velocity of the gas, ro is theradius of the smokestack, and V is the velocity of the gas ata distance r from the center of the circular cross section.Solve this formula for r.

Write the given expression. V=Vmax1-rro2 Here, ro is the radius of the smokestack, V is the velocity…

Answered: Velocity of a gas When a hot gas exits…

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

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Windmill Electric Power It is becoming increasingly common to use wind turbines to generate electric power. The power output generated by a windmill depends upon the blade’s diameter (D) and velocity of the wind (V). A good estimate of the power output is given by the following formula: P = (0.01328)D2V3 where P= Power Output (Watts) D = Diameter of the windmill blade in meters V = Velocity of the wind in m/s. Use the Secant method to determine what should be the diameter of the windmill blade if one wishes to generate 800 watts of electric power when the wind speed is 16mph. (1 m/s = 2.2369 mph).Use Ea ≤ 0.00001.
Tp = Fq +°P/Q• (1) Here ip/Q is the "position of point P relative to point Q." Similarly the velocities of the two points are related by õp = bq + Up/Q- (2) The quantity õp/Q is the velocity of point P relative to point Q. I want you to use these ideas to solve the following problems. 1. The figure below shows a view from above of a large boat in the middle of the ocean. So that the crew on the ship can get exercise on long journeys, there is a circular walking/running track on the back deck. CA B- -D Suppose that the radius of the track is R = 6 m, and a person is running on the track at a constant speed of v = 3m/s as measured with a stopwatch by a crew-mate on board the ship. Suppose the runner is running counter-clockwise around the track when viewed from above. Write the velocity vector of the runner in terms of basis (ê1, ê2) as perceived by a crew-mate on the ship. (a) What is the velocity vector when the runner is at point A? (b) What is the velocity vector when the runner is…
find Step 1: Known, UnknownStep 2: SchematicStep 3: FormulaStep 4: CalculationsStep 5: Discussion A 30 cm diameter pipe, conveying water, branches into two pipes of diameters20 cm and 15 cmrespectively. If the average velocity in the 30 cm diameter pipe is 2.5 m/s, find the discharge inthis pipe (m3/s). Also determine the velocity (m/s) in 15 cm pipe if the average velocity in 20cm diameter pipe is 2 m/s.
A skater is rotating about a single point on the ice as shown below. She changes her position from the one shown on the left to the one shown on the right. For each of the following quantities, state if the quantity stays the same, increases, or decreases. Be sure to give a reason for each answer. dreamstime.m com (a) Moment of Intertia (b) Total Linear Momentum (c) Angular Momentum (d) Kinetic Energy (e) Angular Velocity
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A 4. You hit a tennis ball with an initial vertical velocity of vo, of 25 m/s. The ball leaves the tennis racket 2 meters above the ground, ho. How much time does your opponent have before the ball hits the ground on the other side of the net, h(t)? Use h(t) = -5t² + vot + ho where h(t) is the height of a tennis ball being hit ho is the initial height vo is the velocity in meters/second after time (t) in seconds O t= 0.08 seconds O t= 0.23 seconds O t= 5.08 seconds t = 25.02 seconds
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When a fluid flows over a surface, the shear stresS I (N/m) at the surface is given by the expression du dy surface where u is the viscosity (N-s/m), u is the velocity parallel to the surface (m/s), and y is the distance normal to the surface (cm). Measurements of the velocity of an air stream flowing above a surface are made with an LDV (laser-Doppler-Velocimeter). The values given below were obtained. y u y и 0.0 0.00 2.0 88.89 1.0 55.56 3.0 100.00 At the local temperature, u = 0.00024 N-s/m. In four decimal places, calculate du/dy at the surface using all the points.
In medical literatures, local blood perfusion rate is typically presented as xx ml/(min 100g tissue), in another word, it represents xx ml of blood supplied to a tissue mass of 100 g per minute to satisfy its nutritional needs. As we learned from the course lectures, the local blood perfusion rate appearing in the Pennes bioheat equation is in a unit of 1/s, or can be interpreted as xx ml of blood supplied to a tissue volume of 1 ml per second. The following lists the blood perfusion rates in various organs or structures in a human body from medical textbooks: brain (50 ml/(min 100g tissue)), kidney (35 ml/(min 100g tissue)), and muscle at rest (3 ml/(min 100g tissue)). Please convert the above local blood perfusion rates into values with the unit of 1/s, therefore, they can be used in the Pennes bioheat equation. The tissue density in a human body is 1050 kg/m³.
When a fluid flows over a surface, the shear stress I (N/m) at the surface is given by the expression du dy surface where p is the viscosity (N-s/m), u is the velocity parallel to the surface (m/s), and y is the distance normal to the surface (cm). Measurements of the velocity of an air stream flowing above a surface are made with an LDV (laser-Doppler-Velocimeter). The values given below were obtained. y y 0.0 0.00 2.0 88.89 1.0 55.56 3.0 100.00 2 At the local temperature, p = 0.00024 N-s/m. In four decimal places, calculate du/dy at the surface using all the points. Answer =
Oil flows through a pipe AB of 30 cm diameter with velocity of 3 m/s andthen passes through pipe BC of 20 cm diameter. At C the pipe branchesinto two pipes namely CD and CE. Diameters of pipes CD and CE are22 cm and 8 cm respectively. Volume flow rate through pipe CE is halfof the pipe AB. Perform the following:(i) Draw the schematic diagram of the system;(ii) Determine volume flow rate through the pipe AB;(iii) Determine velocity in pipe BC, CD and DE. Analyse the effect on the velocity of fluid if volume flow rate is decreasedfor the system given in this Q.
A 5-kg object is acted upon by a horizontal force P=16t [N], where t is time in seconds. The coefficient of kinetic friction is = 0.18. At t = 2 s, the object's velocity is 5 m/s. Determine the velocity at t = 4 s. Use the Impulse- Momentum method. Provide the free-body diagram and show all work. fk P

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