StudentShare
Contact Us
Sign In / Sign Up for FREE
Search
Go to advanced search...

Driving around a bend - Assignment Example

Cite this document
Summary
Analytical treatment of this problem has been made in this report and it has been shown that angle or banking or leaning by the driver in order to avoid skidding of vehicle depends on speed of the vehicle and radius of the bend…
Download full paper File format: .doc, available for editing
GRAB THE BEST PAPER98.5% of users find it useful
Driving around a bend
Read Text Preview

Extract of sample "Driving around a bend"

Download file to see previous pages

Analytical treatment of this problem has been made in this report and it has been shown that angle or banking or leaning by the driver in order to avoid skidding of vehicle depends on speed of the vehicle and radius of the bend.Driving around a bend on a road involves either banking of the road or leaning by the driver or a combination of the two; to avoid skidding of the vehicle It was found that this angle in equal to arctan of the ratio of square of the speed of the vehicle and radius of the bend.

The detailed treatment is presented in this report. It is a very common experience for the motorcyclist driving around a bend to lean towards the centre of the circle, the bend is arc of which. It is so common that it becomes part of driving instinct. The sharper the bend, more is the inclination and vice versa. Higher is the speed and more is the angle of inclination. Many times, the turn is too sharp and / or the speed is too much to negotiate by the motorists and the vehicle skids causing fatal accidents.

A car driver unfortunately cannot lean like a motorcyclist and therefore, he needs something else to help him negotiate a bend without skidding and that is banking of the road. In case of banking, there is an upward slope on the road from inner side towards outer side of the circle. So the question is by what angle a motorcyclist should lean and also, what should be angle of banking on the road near a bend to avoid skidding of a vehicle. These two are essentially same problem and have been treated analytically in the subsequent section. 2. Analytical Treatment A cyclist driving on a straight road is shown in Fig. 1, below. Its weight is balanced by the normal reaction and there is no problem of skidding. Fig. 1: Driving on a Straight Road[1] Fig.

2: Driving along a Bend on a Road [1] Suddenly a bend comes on the road and he has to move along a circular arc. Moving along a circular arc requires centripetal acceleration and there must be a force to produce this acceleration. If the motorcycle goes on a horizontal circular path, this resultant force will also be horizontal. Let us consider a motorcycle of mass ‘m’ moving at a speed ‘v’ is negotiating a bend of radius ‘r’ and the road is horizontal. Therefore, the external forces acting on the vehicle are the following: (i) Weight of the motorcycle ‘mg’ (ii) Normal reaction force ‘R’ and (iii) Frictional force Ff As the road is horizontal, the normal reaction force ‘R’ is vertically upward.

The only horizontal force that can act towards the centre of the circular path is friction Ff. This is static friction and self adjustable. The tyres get a tendency to skid outward and the frictional force which opposes the skidding acts towards the centre. Thus for the safe turn i.e. for the turn without skidding Frictional Force = Centripetal Force or, However, there is a limit to the magnitude of the frictional force Ff. If ?s is the coefficient of static friction between the tyres and the road, the magnitude of the frictional force cannot exceed ?sR. For equilibrium in vertical direction R = mg, therefore, Ff < ?

smg Therefore, for a safe turn < ?smg Rearranging we get, ?s > However, one cannot rely on the friction between the road and the tyre to avoid skidding along a bend as this value is limited and varies from location to location and also if the road is wet or dry and on so many different things. Therefore, the motorcyclist tries to lean inward and provide the necessary centripetal force by a component of a normal reaction. Let us assume he leans by an angle ? with horizontal; then the normal reaction will also lean by the same angle (Fig. 3). Now one can see that while the vertical component of normal reaction ‘R’ i.e. RCos?

balances the mass of the motorcycle in the vertical direction; the horizontal component RCos? provides the necessary cen

...Download file to see next pages Read More
Cite this document
  • APA
  • MLA
  • CHICAGO
(“Driving around a bend Assignment Example | Topics and Well Written Essays - 750 words”, n.d.)
Retrieved from https://studentshare.org/technology/1417158-driving-around-a-bend
(Driving Around a Bend Assignment Example | Topics and Well Written Essays - 750 Words)
https://studentshare.org/technology/1417158-driving-around-a-bend.
“Driving Around a Bend Assignment Example | Topics and Well Written Essays - 750 Words”, n.d. https://studentshare.org/technology/1417158-driving-around-a-bend.
  • Cited: 0 times

CHECK THESE SAMPLES OF Driving around a bend

Texting While Driving

Jennifer Harrison Professor Amrine English 50 31 May 2011 Texting While driving It has been proved umpteen times that texting while driving can lead to disasters.... Considering the seriousness of the situation, many administrations have already banned using mobile while driving.... hellip; Already, 30 states in the US have legislation prohibiting texting while driving in place.... om), a total of 16,000 people died in accidents caused by drivers sending text messages while driving between 2001 and 2007....
6 Pages (1500 words) Research Paper

Comparison and contrast on two horror movies

A few minutes into the movie, while Sarah with her husband and daughter are driving back home, they get into a severe car accident, killing the husband and daughter upon impact.... Horror movies have captivated a wide range of audience, feeding their curiosity of gore, dread, and fear....
4 Pages (1000 words) Essay

Teenage Drinking and Driving

Professor Date Teenage Drunk driving Teenage drinking and driving is a shocking reality among many youths in the United States of America.... The main reason why drunk driving among youths has received magnanimous public attention and concern relates to high level of tragic accidents that involve the youths.... hellip; Road carnages due to drunk driving have led to death and paralysis of many youths who are economic powerhouse of any society that eyes economic growth and development....
5 Pages (1250 words) Research Paper

The Problem of Teen Drinking and Driving

The paper “The Problem of Teen Drinking and driving» proposes to create a specialized police unit to address the problem of teenage alcoholism to address cases of teenage driving while intoxicated, promoting responsible parenthood and teens' education about the dangers of alcohol use.... Teen Drinking and driving: A Dangerous Mix.... It is thus an important source in giving the discussion of underage drinking a scientific explanation so as to understand how alcohol influences the behavior of teenagers, thus endangering their lives when drunk and driving....
8 Pages (2000 words) Term Paper

Drinking Coffee Elsewhere by ZZ Packer

However, in the context of a new strange land in the lonesome expansive city of Tokyo in Japan, she is left with no choice than to bend her own rules to ensure her survival in the backdrop of an oppressive environment that no one had prepared her for.... The story revolves around Dina, a young African American woman, from Baltimore in the United States of America who sets out on a journey of self discovery to Tokyo, Japan.... The story revolves around Dina, a young African American woman, from Baltimore in the United States of America who sets out on a journey of self discovery to Tokyo, Japan....
2 Pages (500 words) Essay

Texting Messages while Driving

The following paper under the title 'Texting Messages while driving' focuses on Technology that has integrated deeply into the lives of humans.... Texting messages while driving has been an on-going debate for some years.... The school of thought that disagrees with texting messages while driving considers it so severe that they want the action to be given the status of a crime while others do not give much importance to the issue.... In light of the adverse effects of texting while driving, it should be banned to promote road safety....
5 Pages (1250 words) Case Study

Practicing the Backward Roll in the Gymnastics

This study focuses on teaching and practicing the backward roll, one of the greatest fundamentals of gymnastics.... The author tells about nuances forward, sideways, tucked sideways, tin soldier roll, dive and backward rolls, as well as their similarities and differences from the flips.... hellip; Backward roll is the opposite of the forward roll....
9 Pages (2250 words) Term Paper

Microelectronic: The Thomson Model, The Thomson Model, and Semiconductors

In The Bohr's Model, a nucleus with the atomic number being the positive charge is in the center of an the same number of electrons, moving around it to form a set of orbital shells.... "Microelectronic: The Thomson Model, The Thomson Model, and Semiconductors" paper examines the Thomson Model, that otherwise known as the plum pudding model or the blueberry muffin model is a discovery from the experiments carried out by a British physicist, John Joseph Thomson in 1904....
16 Pages (4000 words) Assignment
sponsored ads
We use cookies to create the best experience for you. Keep on browsing if you are OK with that, or find out how to manage cookies.
Contact Us