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Drag, Cyclist. A cyclist in an upright commuter position can generate sufficient power to achieve a maximum speed of 10 m/s on a calm day with no wind, on a flat surface. The total mass of the rider and bike is 100 kg. The rolling resistance for the tires (a constant force) is FR = 10 N. Comparing power requirements, using drag data from fig. 9.21, pg. 356: (a) what is the max power for the biker? (b) what maximum speed can the cyclist reach in a racing position in still air exerting the same power? (c) what is the maximum speed in a racing position but against a head wind of 5 m/s? Ans OM: (a)~ 10² W; (b) ~ 10¹ m/s; (c)~ 10⁰m/s

Drag, Cyclist. A cyclist in an upright commuter position can generate sufficient power to achieve a maximum speed of 10 m/s on a calm day with no wind, on a flat surface. The total mass of the rider and bike is 100 kg. The rolling resistance for the tires (a constant force) is FR = 10 N. Comparing power requirements, using drag data from fig. 9.21, pg. 356: (a) what is the max power for the biker? (b) what maximum speed can the cyclist reach in a racing position in still air exerting the same power? (c) what is the maximum speed in a racing position but against a head wind of 5 m/s? Ans OM: (a)~ 10² W; (b) ~ 10¹ m/s; (c)~ 10⁰m/s

Elements Of Electromagnetics
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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Assume Patm = 10^5, Pa = 14.7 psi ; ρwater ~ 1000 kg/m3 ; ρair ~ 1.2 kg/m3 ; μwater ~ 10^-3 N•s/m2 ; μair ~ 2 x 10^-5 N•s/m2 ; Vwater ~ 10^-6 m2 /s ; Vair ~ 1.67 x 10^-5 m2 /s ; g = 9.8 m/s^2 .; 1 m/s = 2.24 mph ; 1lbf = 4.45 N ; 1 m^3 = 264 gallons

le D OLO Fairing Shape 2. Jom www..wow.www.www. Six-car passenger train Loo D Fluttering flag Empire State Building Bikes Parachute Average person Porous parabolic dish Racing Oo oo Upright commuter Tractor-trailor tucks 600 00 Gap seal Drafting Streamlined. 00 Tree Standard With fairing With fairing and gap seal U= 10 m/s U = 20 m/s U = 30 m/s Dolphin Large birds Reference area Frontal area A=4D² Frontal area A=4D² Standing Sitting Crouching A =lD Frontal area Frontal area A= 5.5 ft2 A = 3.9 ft² A = 3.9 ft2 A = 5.0 ft² Frontal area Frontal area Frontal area Frontal area Wetted area Frontal area Drag coefficient CD 1.4 Porosity 0 0.2 0.5 1.42 1.20 0.82 0.95 0.90 0.80 Porosity = open area/total area CDA = 9 ft² C₂A = 6 ft² CDA=2.5 ft² e/D 1 2 3 0.15 CD 0.07 0.12 1.4 1.8 1.1 0.88 0.50 0.12 0.96 0.76 0.70 0.43 0.26 0.20 0.0036 at Re = 6 x 105 (flat plate has Cpf = 0.0031) 0.40 FIGURE 9.21 Typical drag coefficients for objects of interest (Refs. 4, 5, 11, and 14).
Transcribed Image Text:le D OLO Fairing Shape 2. Jom www..wow.www.www. Six-car passenger train Loo D Fluttering flag Empire State Building Bikes Parachute Average person Porous parabolic dish Racing Oo oo Upright commuter Tractor-trailor tucks 600 00 Gap seal Drafting Streamlined. 00 Tree Standard With fairing With fairing and gap seal U= 10 m/s U = 20 m/s U = 30 m/s Dolphin Large birds Reference area Frontal area A=4D² Frontal area A=4D² Standing Sitting Crouching A =lD Frontal area Frontal area A= 5.5 ft2 A = 3.9 ft² A = 3.9 ft2 A = 5.0 ft² Frontal area Frontal area Frontal area Frontal area Wetted area Frontal area Drag coefficient CD 1.4 Porosity 0 0.2 0.5 1.42 1.20 0.82 0.95 0.90 0.80 Porosity = open area/total area CDA = 9 ft² C₂A = 6 ft² CDA=2.5 ft² e/D 1 2 3 0.15 CD 0.07 0.12 1.4 1.8 1.1 0.88 0.50 0.12 0.96 0.76 0.70 0.43 0.26 0.20 0.0036 at Re = 6 x 105 (flat plate has Cpf = 0.0031) 0.40 FIGURE 9.21 Typical drag coefficients for objects of interest (Refs. 4, 5, 11, and 14).
Drag, Cyclist. A cyclist in an upright commuter position can generate sufficient power to achieve a maximum speed of 10 m/s on a calm day with no wind, on a flat surface. The total mass of the rider and bike is 100 kg. The rolling resistance for the tires (a constant force) is FR = 10 N. Comparing power requirements, using drag data from fig. 9.21, pg. 356: (a) what is the max power for the biker? (b) what maximum speed can the cyclist reach in a racing position in still air exerting the same power? (c) what is the maximum speed in a racing position but against a head wind of 5 m/s? Ans OM: (a)~ 10² W; (b)~ 10¹ m/s; (c)~ 10⁰m/s VB Vw
Transcribed Image Text:Drag, Cyclist. A cyclist in an upright commuter position can generate sufficient power to achieve a maximum speed of 10 m/s on a calm day with no wind, on a flat surface. The total mass of the rider and bike is 100 kg. The rolling resistance for the tires (a constant force) is FR = 10 N. Comparing power requirements, using drag data from fig. 9.21, pg. 356: (a) what is the max power for the biker? (b) what maximum speed can the cyclist reach in a racing position in still air exerting the same power? (c) what is the maximum speed in a racing position but against a head wind of 5 m/s? Ans OM: (a)~ 10² W; (b)~ 10¹ m/s; (c)~ 10⁰m/s VB Vw
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