ames is driving around a curve with a radius of 20m, at an angle of 12 degrees banked and he has rubber tires on cement. What is the formula for the maximum velocity (derive it). And what is that speed? (use the static coefficient of friction)

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Chapter1: Units, Trigonometry. And Vectors
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1) James is driving around a curve with a radius of 20m, at an angle of 12 degrees banked and he has rubber tires on cement. What is the formula for the maximum velocity (derive it). And what is that speed? (use the static coefficient of friction).

Static Kinetic Rolling
Materials
Ms
Mr
Rubber on
1.00
0.80
0.02
concrete
Steel on steel
0.80
0.60
0.002
(dry)
Steel on steel
0.10
0.05
(lubricated)
Wood on wood
0.50
0.20
Wood on snow
0.12
0.06
Ice on ice
0.10
0.03
Young's modulus
(10 1º N/m²)
Material
Cast iron
20
Tensile strength
(N/m²)
Steel
20
Material
Silicon
13
Polypropylene
20 × 106
Соpper
11
Glass
60 × 106
Aluminum
7
Cast iron
150 × 106
Glass
7
Concrete
3
Aluminum
400 × 106
Wood (Douglas Fir)
1
Steel
1000 X 106
Young's modulus
(101º N/m²)
Tensile strength
(N/m²)
Material
Material
Tooth enamel
6.
Compact bone
Spongy bone
Spongy bone
1.6
5 × 106
0.02–0.3
Compact bone
100 × 106
Spider silk
0.2
Tendon
0.15
Tendon
100 × 106
Cartilage
Blood vessel (aorta)
0.0001
Spider silk
1000 X 106
0.00005
Transcribed Image Text:Static Kinetic Rolling Materials Ms Mr Rubber on 1.00 0.80 0.02 concrete Steel on steel 0.80 0.60 0.002 (dry) Steel on steel 0.10 0.05 (lubricated) Wood on wood 0.50 0.20 Wood on snow 0.12 0.06 Ice on ice 0.10 0.03 Young's modulus (10 1º N/m²) Material Cast iron 20 Tensile strength (N/m²) Steel 20 Material Silicon 13 Polypropylene 20 × 106 Соpper 11 Glass 60 × 106 Aluminum 7 Cast iron 150 × 106 Glass 7 Concrete 3 Aluminum 400 × 106 Wood (Douglas Fir) 1 Steel 1000 X 106 Young's modulus (101º N/m²) Tensile strength (N/m²) Material Material Tooth enamel 6. Compact bone Spongy bone Spongy bone 1.6 5 × 106 0.02–0.3 Compact bone 100 × 106 Spider silk 0.2 Tendon 0.15 Tendon 100 × 106 Cartilage Blood vessel (aorta) 0.0001 Spider silk 1000 X 106 0.00005
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