Drag Racing Tires Coefficient Of Friction

Aerodynamics Page: 1 of 2 Every bicyclist has to overcome wind resistance. bicycles in which the rider sits up have very poor aerodynamics. bicycles are being designed with better aerodynamics in mind, the human body is simply not well designed to slice through the air. are aware of the problem of wind resistance and over the years have developed techniques for reducing it. Bicycle designers and inventors have experimented in developing alternative bicycle designs and HPVs (human- powered vehicles) with an emphasis on better aerodynamic performance. Charley "Mile-a-Minute" Murphy was an early cycling racer. "mile-a-minute" feat was accomplished in 1899. At that time he traveled faster than the fastest automobile. Notice the large windscreen on the train in front of him which greatly reduced wind resistance. BICYCLE INSTITUTE OF AMERICA Every cyclist who has ever pedaled into a stiff headwind knows about windIn order to move forward, the cyclist must

push through the mass of air in front of her. efficiency--a streamlined shape that cuts through the air more smoothly--enables a cyclist to travel much faster, with less effort. But the faster the cyclist goes, the more wind resistance he experiences, and the more energy he must exert to overcome it. When racing cyclists aim to reach high speeds, they
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Cocker Spaniel Puppies For Sale In Chicago Aerodynamic drag consists of two forces: air pressure drag and direct friction (also known as surface friction or skin friction). blunt, irregular object disturbs the air flowing around it, forcing the

air to separate from the object's surface. Low pressure regions from behind the object result in a pressure drag against the object. in the front, and low pressure behind, the cyclist is literally being pulledStreamlined designs help the air close more smoothly around these bodies and reduce pressure drag. Direct friction occurs when wind comes into contact with the outer surface of the rider and the bicycle. cyclists often wear "skinsuits" in order to reduce direct friction. Direction friction is less of a factor than air pressure drag. On a flat road, aerodynamic drag is by far the greatest barrier to a cyclist's speed, accounting for 70 to 90 percent of the resistance felt when pedaling. The only greater obstacle is climbing up a hill: the effort needed to pedal a bike uphill against the force of gravity far outweighs the effect of wind Calculate the Aerodynamic Drag and Propulsive Power of a Bicyclist Fill in the information in the boxes.

Velocity is your velocity (mi/hr) as read on a speedometer. + (plus) is forward - (minus) is backward. Wind velocity (mi/hr) is - (minus) if it is a tailwind, + (plus) if it is a headwind (relative to the ground). Grade is the angle of the slope. 0 is flat, 90 is a vertical wall. Click on the "Calculate" button. Notice the drag force and power required to keep you moving at a constant The relative velocity is The power required to maintain a constant This calculation requires a JavaScript-capable browser. Notes on the calculator: Please be aware that we've made some assumptions in order to simplify this calculation. For instance, this calculator does not take into account the body position (or size) of the rider in regard to wind resistance. In addition, other factors, such as the coefficient of friction are fixed. Also, if you put in "unrealistic" figures you will get unrealistic results. Finally, please be aware that the "Calories per minute" figure is assuming that the human body is 100 percent efficient--this is not the case (20 percent efficiency is closer).

For a more accurate figure try multiplying the "Calories per minute" by a factor of five. Frame builders and designers have been working on creating more aerodynamically efficient designs. Some recent designs have concentrated on shifting from round tubes to oval or tear-shaped tubes. There is a delicate balancing act between maintaining a good strength-to-weight ratio whileImprovements to wheels have made perhapsA standard spoked wheel has been described as an "egg beater," creating many small eddies as the tire rotates--creating drag. Disc wheels, while generally heavier than their spoked counterparts, produce less wind drag and turbulence when they spin. This racing frame uses tear-shaped tubes While improvements to frames and components have improved aerodynamic performance, the cyclist is the largest obstacle to dramatic improvement. is not very streamlined. Body positioning is important; "drop bars" to allow themselves to reduce their frontal area,

which helps reduce the amount of resistance they must overcome. the frontal area helps riders increase their speed and their efficiencyIn addition to positioning, small details like clothing can also make a big difference in reducing "skin friction." synthetic clothing is worn by almost every professional rider, both roadMany recreational riders are also wearing bicycle clothes for the improvement in aerodynamics as well as comfort. Aerodymanics Page: 1 of 2 Select "Forward" below to continue > Sign In > New User Registration> New School/Org Registration > Forgot PasswordCars provide examples for several areas in physics. This page uses the car pictured for a few simple examples to illustrate the chapters Constant acceleration, Weight and contact forces and Energy and power. It also has example problems posed to us about cars. We'll add more later. UNSW's solar racer sunswift IV on its way to winning the silicon division of the transcontinental World Solar Challenge.

The first two examples below assume constant acceleration – which is usually a chapter in introductory physics books. First, the forwards acceleration of a car is rarely constant. Motors rarely deliver force or torque that is independent of speed and drag is a strong function of speed – turbulent drag is approximately proportional to v2. Deceleration can often be rather closer to constant, especially in hard braking and at speeds low enough that the drag may be neglected in comparison with the braking force (strictly, the horizontal force exerted on the tires by the road) or the rolling resistance (which is not stronly dependent on speed). Often, however, a rough estimate is sufficient answer, and that's what the first examples below provide. For precise answers, however, still more detail is required, as we indicate. Second, a note about units. Discussing cars, speeds are usually given in kilometres per hour, for obvious convenience in everyday life. However, accelerations are usually given in m.s−2 and, in any case, scientists and engineers usually work in SI units.

A kilometer is 1000 m and an hour is 3600 s, so one k.p.h. is 1000 m/3600 s, which is (1/3.6) m.s−1. So, to convert k.p.h. to m.s−1, divide by 3.6. To convert km per hour to (land) miles per hour, divide by 1.61. On a training day with negligible wind, sunswift IV entered the flat straight of the race track at 70 k.p.h. The driver then switched the motor off and coasted, using no brakes. After covering a marked kilometer, she was travelling at 50 k.p.h. What is her acceleration? (For this approximate estimate, treat the acceleration as constant, but we'll discuss this later.) In the chapter Constant acceleration, we considered motion in a straight line and derived an equation relating the acceleration a to the (final) speed v, the initial speed v0 and the distance covered Δx: v2 − v02 = 2aΔx , which we rearrange to give a = (v2 − v02)/2Δx. Substituting, we obtain a = − 0.093 m.s−2. The minus sign tells us that it is a deceleration: she is slowing down.

To put this in context, compare it with the gravitational acceleration: a is about 1% of g. (A solar car has limited power – about one kilowatt. So drag is very important and that's why sunswift IV has this shape.)From Newton's second law, we write F = ma. Including a driver (and ballast, to make the effective driver's mass 80 kg), sunswift's total mass is 244 kg. Substitution gives a force of − 23 N. As we mentioned above, the drag force is not independent of speed, so neither is the acceleration. Nevertheless, we can say that this is greater than the force at 50 k.p.h. and less than that at 70 k.p.h. For now, let's guess that this is roughly the stopping force at 60 k.p.h. If she were travelling at a constant speed of roughly 60 k.p.h. in a straight line, the acceleration would be zero and so would the total horizontal force. So the drive wheel would have to apply a force of magnitude 23 N to the ground. (Only the single back wheel drives, and the motor is in the wheel to minimise losses in the drive train.)

This doesn't sound like much: it is about the weight of a 2.3 kg mass, which you can comfortably apply with one finger – to an object at rest. Applying this force at a speed of 60 k.p.h. is less easy. In the chapter Energy and Power, we saw that the power P applied by a force F applied at angle θ the direction of motion of a point moving at speed v is P = Fv cos θ Here θ is zero for a horizontal force, so substitution gives P = 380 W. A very fit human can supply 380 W for sustained periods, and rather more for short periods. (sunswift IV can supply rather more than this, too, especially if it's a clear day and the sun is high in the sky. More on this below.) UNSW's solar racer sunswift IV on the Hidden Valley racetrack in Darwin, before the World Solar Challenge. We mentioned before that constant acceleration can be a better approximation for stopping. The solar cars must do stopping and handling tests before qualifying to race. sunswift IV stopped from 35 k.p.h. to rest in 4.5 m.

As before, we write Substituting, we obtain a = − 10.5 m.s−1. So her braking acceleration is a little greater than g. With mass 244 kg, this gives a total stopping force of magnitude 2.6 kNCompared with 2.6 kN, the 0.023 kN we calculated above for the coasting trial (at higher speed) may be neglected. So the stopping force is almost entirely that applied by the road to the wheels, which in this case includes regenerative conversion: the wheel motor becomes a generator and turns some of the car's kinetic energy back to electrical energy, which is stored in her battery. (There is also a rolling resistance, but this also is small (rather less than 1% of the braking force.) As we saw in Weight and Contact Forces, this requires a limiting coefficient of static friction greater than unity. Values as high as 1.2 or 1.3 can be achieved on a clean road in dry conditions, but don't count on being able to stop this rapidly in general! In many cases, the turbulent drag is proportional to v2, to a good approximation.

Roughly speaking, the car accelerates a mass of air near it, doing work in the process. In its turbulent wake, the kinetic energy of that air is dissipated as heat. Suppose the car travels dx in time dt. Suppose that, in doing so, the applies a force F to the air, and the magnitude of F equals that of the air resistance Fdrag (the force the air applies to the car – Newton's third law). This force F accelerates a volume of air to the speed v of the car, which has cross section A. We'll now look in turn at the questions: What is the mass dm of that air? How much work is done moving it? What power is required? What is the drag force? How much air is moved? First, imagine a non-aerodynamic vehicle, like a city bus. One might expect that, as the bus moves forward dx, it accelerates a volume dV, as in the sketch. Let's start with a crude approximation: let's say the volume accelerated is dV = Adx. If the density of the air is ρ, then the mass of air is ρAdx. How much work is done moving it?

In our crude approximation, all of that air is accelerated to v, so its kinetic energy is ½mv2 = ½(ρAdx)v2. In practice, not all of that air is accelerated to the speed of the bus: some slips around it. Further, for carefully designed shapes, only a modest fraction might be accelerated – the rest is pushed aside. So let's combine those two effects (fraction of air in front of the vehicle accelerated and the fraction of v to which it is accelerated) in a single constant, CD, called the drag coefficient. It is a pure number, which we expect to be about one for a bus and rather smaller for an aerodynamic shape like that of the solar racing car. So the work done accelerating the air is ½CD(ρAdx)v2 What power is required? To get the power required to do this work in time dt, we divide by dt. Putting dx/dt = v, we get: Power to overcome drag = (½CDρA)v3 This explains why aerodynamics is so important to high speed performance: the power required to overcome turbulent drag goes as the cube of the speed.

(If you need to, see the chapter on Energy and Power). What is the drag force? Let's again use the equation P = Fv cos θ, where again θ is zero for horizontal forces and velocity. So, dividing both sides by v, we have Which looks fine... except that we don't know CD: we said above it was 'a number that is about one for a bus and rather smaller for an aerodynamic shape'. In other words, it's what we call a fudge factor. This particular fudge factor is called the drag coefficient. It is defined by the equation just derived, i.e. CD = Fdrag/(½ρAv2). However, although it looks like a tautology, it's still a useful equation, because CD is fairly constant – it depends only weakly on v. So, once we know CD from data on one or more speeds, we can predict the drag force for other speeds. Suppose that the road is flat, that a power P is transmitted to the wheels and that that power is used only to overcome rolling resistance and aerodynamic drag, so, using the equations above for power P and drag force Fdrag,