Problem

Tilting trains, such as the American Flyer which …

Question

Answered step-by-step

Problem 52 Easy Difficulty

A curve in a speed track has a radius of $1000 \mathrm{ft}$ and a rated speed of $120 \mathrm{mi} / \mathrm{h}$. (See Sample Prob. 12.6 for the definition of rated speed.) Knowing that a racing car starts skidding on the curve when traveling at a speed of $180 \mathrm{mi} / \mathrm{h}$, determine $(a)$ the banking angle $u,(b)$ the coefficient of static friction between the tires and the track under the prevailing conditions, $(c)$ the minimum speed at which the same car could negotiate the curve.

Video Answer

Solved by verified expert

Textbook Answer

Official textbook answer

Video by Khoobchandra Agrawal

Numerade Educator

This textbook answer is only visible when subscribed! Please subscribe to view the answer

Related Courses

Physics 101 Mechanics

Vector Mechanics for Engineers: Statics and Dynamics

Chapter 12

Kinetics of Particles: Newton’s Second Law

Discussion

You must be signed in to discuss.

Top Physics 101 Mechanics Educators

Christina Krawiec

Rutgers, The State University of New Jersey

Watch More Solved Questions in Chapter 12

Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Problem 7

Problem 8

Problem 9

Problem 10

Problem 11

Problem 12

Problem 13

Problem 14

Problem 15

Problem 16

Problem 17

Problem 18

Problem 19

Problem 20

Problem 21

Problem 22

Problem 23

Problem 24

Problem 25

Problem 26

Problem 27

Problem 28

Problem 29

Problem 30

Problem 31

Problem 32

Problem 33

Problem 34

Problem 35

Problem 36

Problem 37

Problem 38

Problem 39

Problem 40

Problem 41

Problem 42

Problem 43

Problem 44

Problem 45

Problem 46

Problem 47

Problem 48

Problem 49

Problem 50

Problem 51

Problem 52

Problem 53

Problem 54

Problem 55

Problem 56

Problem 57

Problem 58

Problem 59

Problem 60

Problem 61

Problem 62

Problem 63

Problem 64

Problem 65

Problem 66

Problem 67

Problem 68

Problem 69

Problem 70

Problem 71

Problem 72

Problem 73

Problem 74

Problem 75

Problem 76

Problem 77

Problem 78

Problem 79

Problem 80

Problem 81

Problem 82

Problem 83

Problem 84

Problem 85

Problem 86

Problem 87

Problem 88

Problem 89

Problem 90

Problem 91

Problem 92

Problem 93

Problem 94

Problem 95

Problem 96

Problem 97

Problem 98

Problem 99

Problem 100

Problem 101

Problem 102

Problem 103

Problem 104

Problem 105

Problem 106

Problem 107

Problem 108

Problem 109

Problem 110

Problem 111

Problem 112

Problem 113

Problem 114

Problem 115

Problem 116

Problem 117

Problem 118

Problem 119

Problem 120

Problem 121

Problem 122

Problem 123

Problem 124

Problem 125

Problem 126

Problem 127

Problem 128

Problem 129

Problem 130

Problem 131

Problem 132

Problem 133

Video Transcript

Hello, everyone. Here it is given up occurred in high speed track having the radius 1000 fit and rated speed That is also called optimum speed. 1 20 my whatever. All right. 1 76. 50 per second If racing car starts skidding on the car when traveling spirits 1 80 mile per hour. So maximum speed is 1 80 mile. But of it, that is to 64 50 per second to negotiate the car without escape, Calculate angle of fainting, coefficient of friction and minimum speed to negotiate the car. Let us start solving normal acceleration of the car Will be we square by room, not going free. Body diagram off the car. Just symbolic. I'm going here. I hope the card here it will be normal reaction date off the car. Just a moment, bitch. Friction? Uh huh. And Mars into normal acceleration. Taking this is Toby XX is Yeah, and this be will consider by access submission off forces along X axis If we take the four Friction Force plus component off. Wait in the direction off X. We will get this angelic already. We know. Hitter The blue sign off theater His call to I'm a cause of Tito. So from here friction force we will get acceleration is we square By also M b squared by rule cause off theater minus Wait, wait is mg sign up theater se equation But taking submission off force along via taxes So it will be and minus component off weight in the direction off by axis Sign off sitter That will be am a sign off sitter So you may write And Toby equal toe and B squared by rule signed off Fotopoulos MD Cost of theater This is the question of murder too. First case toe find Angela Banking speed is rated speed which is given 1 76 fit per second and and we'll build with zero r friction force will be zero. So dividing equation one in tow or you may right from equation but f is to be taken. Jiro I am rated B Square by Ruben cause off theater minus mg Sign off theater So 10 off theater We will get we rated square upon ruin to G. That is 1 70 60 square releases 1000 and toe G is 32.2. So 10 off theater We will get 0.96199 That is angle of fainting, Toby. 43.9 degrees. This is the answer off part a now part we in part we we have to find a coefficient of friction. Muche. So this is the case off silting outward that is f should be It's called, um You went so musical toe half upon and dividing Equation one and two We will get we square cause off Peter minus ruin to G Sign off theater upon we square Sign off Giotopoulos Rudy cause off theater here Well, he is given at with helping will start that is to 64 50 per second Substituting here Yeah, to 64 square angle off thinking we have obtained 43.9 minus radius off the card party 1000 ft G is 32.2 angle a flanking again 43.9 divided by square off velocity at which silting may start Sign up 43 point night plus row is 1000 into G 32.2 cause off 43.9 So it will be a point 390 That is coefficient of friction no see part We have to find minimum speed, the minimum be required. So for minimum speed, absolutely minus me went minus musical toe We square cause off theater minus Rajhi Sign off Theater upon the square Sign off Peter Plus Luigi Casa Peter Car. So by using this equation, speed can be written is solving every question for its speed that is minimum his feet. It would be roll into ji sign off theater minus new cause off theater divided by course of data. Less new sign off theater. Subjecting the value Radio 6000 g is 32.0 sign off 43.8 night minus milk 0.390 cause off 43.8 night divided by cars off 43.89 mu is quite 390 Sign off 43.89 So you we will get minimum speed by which vehicle can negotiate doctor path and that minimum speed is 78.8. Here you will get 105.6 to 50 per second on In terms off miles, it will be 78.8 miles, but but that's all for it. Thanks for watching it

Get More Help with this Textbook

Ferdinand Beer, Jr., E. Russell Johnston, David Mazurek

Vector Mechanics for Engineers: Statics and Dynamics

View More Answers From This Book

Find Another Textbook

Study Groups

Study with other students and unlock Numerade solutions for free.

Problem

Tilting trains, such as the American Flyer which …

This textbook answer is only visible when subscribed! Please subscribe to view the answer

Related Courses

Vector Mechanics for Engineers: Statics and Dynamics

Related Topics

Discussion

Top Physics 101 Mechanics Educators

Christina Krawiec

Farnaz Mohseni

Jared Enns

Meghan Miholics

Physics 101 Mechanics Courses

Recommended Videos

Watch More Solved Questions in Chapter 12

Video Transcript

Ferdinand Beer, Jr., E. Russell Johnston, David Mazurek

Vector Mechanics for Engineers: Statics and Dynamics

Christina Krawiec

Farnaz Mohseni

Jared Enns

Meghan Miholics

This textbook answer is only visible when subscribed! Please subscribe to view the answer

Vector Mechanics for Engineers: Statics and Dynamics

Christina Krawiec

Farnaz Mohseni

Jared Enns

Meghan Miholics

Ferdinand Beer, Jr., E. Russell Johnston, David Mazurek Vector Mechanics for Engineers: Statics and Dynamics

Christina Krawiec

Farnaz Mohseni

Jared Enns

Meghan Miholics

Ferdinand Beer, Jr., E. Russell Johnston, David Mazurek

Vector Mechanics for Engineers: Statics and Dynamics