5.5 An automobile has a characteristic length and area of 8 ft and 60 ft²', respectively. When tested in sea-level standard air, it has the following measured drag force versus speed: V, mi/h: 20 40 60 Drag, Ibf. 31 115 249 The same car travels in Colorado at 65 mi/h at an altitude of 3500 m. Using dimensional analysis, estimate (a) its drag force and (b) the horsepower required to overcome air drag.

5.5 An automobile has a characteristic length and area of 8 ft and 60 ft²', respectively. When tested in sea-level standard air, it has the following measured drag force versus speed: V, mi/h: 20 40 60 Drag, Ibf. 31 115 249 The same car travels in Colorado at 65 mi/h at an altitude of 3500 m. Using dimensional analysis, estimate (a) its drag force and (b) the horsepower required to overcome air drag.

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: Liquid in a tank is being drained through a pipe at tank bottom. The time it takes to drain the…

Q: The Power (P) required to drive the pump depends upon the diameter (D), the angular velocity (@),…

A: Total variable =P,D,ω,Q,ρ P= f(D,ω,Q,ρ) where P is a dependent variable

Q: A block of wood (SG = 0.6) fl oats in fl uid X in Fig.such that 75 percent of its volume is…

A: Calculate the density of the fluid X. Weight of body = weight of fluid X displaced + weight of air…

Q: (b) A wind-tunnel experiment is performed on a small 1:5 linear-scale model of a car, in order to…

Q: work on the dimensional analysis of the listed derived properties converting from MLT to FLT…

Q: 3: Using dimensional analysis and showing all work, convert the following: (a) 248 pounds to newtons…

A: a) Given Pounds = 248 Solution 1 Pound = 4.4482 N Therefore, 248…

Q: Using primary dimensions, verify that the Rayleigh number is indeed dimensionless. What other…

A: The Rayleigh number is defined as:

Q: How much is the max available power (in Kg) of a scraper Caterpillar 651E whose weight and maximum…

Q: Let us model a certain cargo ship as a rectangular prism with length (100 m) and width (20 m). Also,…

A: We have to find 1.boat weight 2.how far below the waterline will the bottom of the boat be?

Q: 3. The radius R of a mushroom cloud generated by a nuclear bomb grows in time. We expect that R is a…

Q: Required information Outside an inner, intense-activity circle of radius R, a tropical storm can be…

A: The velocity components are defined as: vr=∂ϕ∂rϕ=U0Rθvr=0vθ=1r∂ϕ∂θ=U0Rr

Q: Please don't provide handwritten.solution

A: Step 1: To calculate the climb angle, we need to consider the force acting on the aircraft during…

Q: An airplane wing, with chord length of 1.5 m and span of 9 m, is designed to move through standard…

A: Air: ν1= 1.51×10-5 m2/sV1= 7.5 m/s Water: ν2= 1.00×10-6 m2/sV2= ? m/s Scale model= D2D1=110

Q: The force, F, acting on a billboard due to wind depends on it length, l, height, h, the modulus of…

A: As it is given in the question that the force (F) depends in l, h, E, and γa. Here are the…

Q: Particles in liquids achieve terminal speed very quickly. One can measure the time it takes for a…

Q: We want to predict the drag force on a remote-control airplane as it flies through air having a…

A: Solution: Given Data: ρa=1.21 kg/m3μa=1.76×10-5 Pa-sVp=32 m/sD=75 mmρw=3 kg/m3μw=1.82×10-5 Pa-s…

Q: Mott ." cometer, which we can analyze later in Chap. 7. A small ball of diameter D and density p,…

A: The data given is, The specific gravity of steel ball, SGb = 7.87 The diameter of the steel ball, D…

Q: The drag force FD acting on a ship depends on the forward speed V , the fluid density ρ and…

A: Solution : Drag force , Fd=MLT-2speed , v = LT-1Density, ρ = ML-3viscosity,μ = ML-1T1gravity , g =…

Q: 3. Suppose the drag force on a truck is given by the equation: F = cqv² + c2v where c = 4.80 N and…

Q: 1. Suppose you are flying a 7,784 kilograms aircraft at 14,630 meters where the air density is…

Q: A graduated cylinder full of water in the lab on a bench that has just been waxed. The cylinder is 1…

A: Given, Area of the cylinder, A=1cm2 Height of water, h=10cm

Q: The time t d to drain a liquid from a hole in the bottom of atank is a function of the hole…

A: Given data td=drain timed=hole diameteryo=initial fluid vol.ho=Liquid depthρ=density of…

Q: The work of adhesion (W) is the energy per unit area associated with bringing two immiscible liquids…

A: Given:The equation is .The is work of adhesion in .The is surface tension in .Concept used:The…

Q: A road haulage truck has an approximate rectangular frontal area 2.5 m wide by 3.8 m high. To…

Q: Q1) Under laminar conditions, the volume flow rate Q through a small triangular-section pore of side…

Q: Using dimensional analysis and showing all work, convert the following: (a) 248 pounds to newtons…

Question

100%

5.5 An automobile has a characteristic length and area of 8 ft and 60 ft, respectively. When tested
in sea-level standard air, it has the following measured drag force versus speed:
V, mi/h:
20
40
60
Drag, Ibf.
31
115
249
The same car travels in Colorado at 65 mi/h at an altitude of 3500 m. Using dimensional analysis,
estimate (a) its drag force and (b) the horsepower required to overcome air drag.

Expert Solution

This question has been solved!

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

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Trending now

This is a popular solution!

Step by step

Solved in 4 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

The speed of sound c in an ideal gas is known to be a function of the ratio of specific heats k, absolute temperature T, and specific ideal gas constant Rgas. Showing all your work, use dimensional analysis to find the functional relationship between these parameters.
The Omani "Noor Majan" car is of mass (M) kg is going up Jabal Akhdar, at angle (0), with (N) people inside the car each of (mp) kg. The car model provides (L) Newtons of lift, and it is accelerating up at (a) m/s². The road provides a coefficienct of kinetic friction (u). What is the force exerted by the engine? [Hint: This question has no numbers. Your answer needs to be an equation.] Submission status
Answer all the questions 1) Using dimensional equations, convert: 700 m* /(day. kg) to cem* /(min. g). 2) Convert 210 X 10 kJ/min to hp 3) Calculate the weight in lbr of a 30.0-lbm object. 4) Calculate the mass in kg of an object that weighs 25 Newton. 5) The density of a fluid is given by the empirical equation: p = 70.5 exp(8.27 x 10-7P) where p is density (Ib/ft) and Pis pressure (lb,/in.?). (a) What are the units of 70.5 and 8.27 x 10-7? (b) Calculate the density in g/cm for a pressure of 9.00 x 10 N/m?. 6) The vapor pressures of 1-chlorotetradecane at several temperatures are tabulated here. T(C) 98.5 131.8 148.2 166.2 199.8 215.5 p* (mm Hg) 1 5 10 20 100 60 Use two different method to estimate the value of P' at T = 190 °C (7) The specific gravity of gasoline is approximately 0.70. a- Determine the mass (kg) of 50.0 liters of gasoline. b- The mass flow rate of gasoline exiting a refinery tank is 1150 kg/min. Estimate the volumetric flowrate in liters/s.
P5.72 A one-twelfth-scale model of a large commercial aircraft is tested in a wind tunnel at 20°C and 1 atm. The model chord length is 27 cm, and its wing area is 0.63 m?. Test results for the drag of the model are as follows: V, mi/h 50 75 | 100 125 Drag, N 15 | 32 53 80 In the spirit of Fig. 5.8, use this data to estimate the drag of the full-scale aircraft when flying at 550 mi/h, for the same angle of attack, at 32,800 ft standard altitude. Neglect Mach number differences between model and prototype.
The drag force (Fdrag) exerted by air on a moving car depends on a dimensionless drag coefficient (Carag), the specific volume of air (Vair), the velocity of the car (Var), and the frontal area of the car (Afront). (a) Based on unit considerations alone, obtain an equation for the drag force. Be sure to explicitly demonstrate that the final units are correct. (b) Explain, based on your equation, what happens to the drag force when each variable is changed in isolation. Indicate whether this predicted behaviour matches your intuition in each case.
A uniform stream overflows in a circular cylinder and then a periodic Kármán vortex street is created. Through repeating variables, how can I create a dimensionless relationship for Kármán vortex shedding frequency (fk), where free-stream speed is V, fluid density is p, fluid viscosity is μ, and cylinder's diameter is d?
Panels AB and CD in Fig. are each 120 cm wide intothe paper. ( a ) Can you deduce, by inspection, which panelhas the larger water force? ( b ) Even if your deduction isbrilliant, calculate the panel forces anyway.
Solve it from 1 to 4 PLZ
1. (a) The motion of a floating vessel through the surrounding fluid results in a drag force D which is thought to depend upon the vessel's speed v, its length I, the density p and dynamic viscosity μ of the fluid and the acceleration due to gravity g. Show that:- D = pv²1² (1) (b) In order to predict the drag on a full scale 50m long ship traveling at 7m/s in sea water at 5°C of density 1027.7225 kg/m³ and viscosity 1.62 x 103 Pa.s, a model 3m long is tested in a liquid of density 805 kg/m³. What speed does the model need to be tested at and what is the required viscosity of the liquid?
Looking for correct answer within 30minutes.
The thrust F of a Free propeller, either aircraft of marine, depends upon density ρ, the rotation rate n in r/s, the diameter D, and the forward velocity V. Viscous effects are slight and neglected here. Tests of a 25-cm-diameter model aircraft propeller, in a sea-level wind tunnel, yield the following thrust data at a velocity of 20 m/s : Rotation Rate, r/min____4800____6000____8000 Measured thrust, N____6.1____19____47 Use the dimensionless data to predict the thrust, in Newtons, of a similar 1.6-m-diameter prototype propeller when rotating at 3800 r/min and flying at 225 mi/h at 4000-m standard altitude.
Problem 4: The power P developed by a wind turbine is a function of diameter D, air density p, wind speed V, and rotational rate @. Viscous effect is negligible. (4a) Rewrite the above relationship in a dimensionless form; (4b) In a wind tunnel, a small model with a diameter of 90cm, rotating at 1200 RPM (revolution per minute), delivered 200 watts when the wind speed is 12m/s. The data are to be used for a prototype of diameter of 50m and wind speed of 8 m/s. For dynamic similarity, what will be (i) the rotational speed of the prototype turbine? (ii) the power delivered by the prototype turbine? Assume air has sea-level density.