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Julli [10]
3 years ago
6

A tire-pressure monitoring system warns you with a dashboard alert when one of your car tiresis significantly under-inflated. Ho

w does this pressure monitoring system work? Many cars havesensors that measure the period of rotation of each wheel. Based on the period of rotation, thecar’s computer determines the relative size of the tire when the car is moving at a certain speed.(a)Derive a mathematical equation that relates the period T of the wheel rotation of the tireradius r and the speed v ​of the car​.(b)The figure below shows a properly inflated tire (left) and an underinflated tire (right) ofthe same car. Estimate the percent change of the period of the underinflated tirecompared to the properly inflated tire.
Mathematics
1 answer:
mel-nik [20]3 years ago
7 0

Answer:

Step-by-step explanation:

Home   Tires  Tire Buying Guide  Tire Pressure Monitoring System

TIRE PRESSURE MONITORING SYSTEM (TPMS)

SEE WHY A TMPS IS AN IMPORTANT FUNCTION OF YOUR VEHICLE AND LEARN HOW TO READ IT.

WHAT IS TPMS?

The Tire Pressure Monitoring System (TMPS) is an electronic system in your vehicle that monitors your tire air pressure and alerts you when it falls dangerously low.

 

 

WHY DO VEHICLES HAVE TPMS?

To help drivers recognize the importance of tire pressure safety and maintenance, Congress passed the TREAD act, which requires most vehicles made after 2006 to be TPMS–equipped.

HOW DOES THE TIRE PRESSURE MONITORING SYSTEM WORK?

There are two different types of systems being used today: Direct TPMS and Indirect TPMS.

Direct TPMS uses a sensor mounted in the wheel to measure air pressure in each tire. When air pressure drops 25% below the manufacturer’s recommended level, the sensor transmits that information to your car’s computer system and triggers your dashboard indicator light.

Indirect TPMS works with your car’s Antilock Braking System’s (ABS) wheel speed sensors. If a tire’s pressure is low, it will roll at a different wheel speed than the other tires. This information is detected by your car’s computer system, which triggers the dashboard indicator light.

WHAT ARE THE BENEFITS OF TPMS?

TPMS notifies you when your vehicle’s tire pressure is low or is going flat. By helping you maintain proper tire pressure, TPMS can increase your safety on the road by improving your vehicle’s handling, decreasing tire wear, reducing braking distance and bettering fuel economy.

IS MY VEHICLE EQUIPPED WITH A TIRE PRESSURE MONITORING SYSTEM?

Your vehicle has TPMS if the "low tire pressure" warning light appears on your dash when the key is turned to the "on" position.

WHAT SHOULD I DO IF MY WARNING INDICATOR COMES ON?

Check the air pressure in your tires and inflate any tire that is low (according to the manufacturer’s recommendation). When the tire is at the appropriate pressure, the indicator light should go off.

If necessary, replace the tire with your spare tire and visit your local Tires Plus store for needed repairs or replacement. They’ll check your vehicle’s tire pressure and perform a systems test on all of your tire sensors to diagnose the problem. Once our technicians address your vehicle’s tire needs, they’ll then suggest the proper maintenance to get you back on the road safely.

WHY DOES TIRE MAINTENANCE WITH DIRECT TPMS COST MORE?

Direct TPMS equipped tires cost slightly more to maintain than non–equipped tires because proper care requires extra parts and labor. The valve service kit, which includes the valve core, cap, nut and o–ring (seal), must always be replaced when a tire is dismounted for service or replacement. A special TPMS tool and additional time are also needed to check and reset the sensor system.

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anzhelika [568]

Complete Question

The complete question is shown on the first uploaded image

Answer:

The solution is  \frac{\delta  (x,y)}{\delta (u, v)} | = 10e^{-4u}

Step-by-step explanation:

From the question we are told that

        x =  e^{-2a} cos (5v)

and  y  =  e^{-2a} sin(5v)

Generally the absolute value of the determinant of the Jacobian for this change of coordinates is mathematically evaluated as

     | \frac{\delta  (x,y)}{\delta (u, v)} | =  | \ det \left[\begin{array}{ccc}{\frac{\delta x}{\delta u} }&{\frac{\delta x}{\delta v} }\\\frac{\delta y}{\delta u}&\frac{\delta y}{\delta v}\end{array}\right] |

        = |\ det\ \left[\begin{array}{ccc}{-2e^{-2u} cos(5v)}&{-5e^{-2u} sin(5v)}\\{-2e^{-2u} sin(5v)}&{-2e^{-2u} cos(5v)}\end{array}\right]  |

Let \   a =  -2e^{-2u} cos(5v),  \\ b=-2e^{-2u} sin(5v),\\c =-2e^{-2u} sin(5v),\\d=-2e^{-2u} cos(5v)

So

     \frac{\delta  (x,y)}{\delta (u, v)} | = |det  \left[\begin{array}{ccc}a&b\\c&d\\\end{array}\right] |

=>    \frac{\delta  (x,y)}{\delta (u, v)} | = | a *  b  - c* d |

substituting for a, b, c,d

=>    \frac{\delta  (x,y)}{\delta (u, v)} | =  | -10 (e^{-2u})^2 cos^2 (5v) - 10 e^{-4u} sin^2(5v)|

=>   \frac{\delta  (x,y)}{\delta (u, v)} | =  | -10 e^{-4u} (cos^2 (5v)   + sin^2 (5v))|

=>  \frac{\delta  (x,y)}{\delta (u, v)} | = 10e^{-4u}

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V(x) = kl
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The volume of the box is 375 cubic inches.

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3 years ago
What is the solution? pls help
loris [4]

Answer:

Solve by substitution

[y=5/2x-4]

[y= -x+3]

Substitute y = -x +3

[-x+3=5/2x-4]

Isolate x for -x+3=5/2x-4: x=2

For y = -x+3

Substitute x = 2

y= -2+3

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The solutions to the system of equations are:

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2 years ago
Determine whether the equation Y=x^2 +13 represents a linear or non linear function and explain
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Answer:

yés it is linear because

two variables that gives a straight line when plotted on a graph.

if it was correct tell me good or it was mistake tell me truth

Step-by-step explanation:

hope it was correct

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Please help, I only have 1 attempt left to get it right, there is also no need to show your work if you don't want to.
castortr0y [4]

Answer:

1/2 lb

Step-by-step explanation:

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23.5x/4 = 2.95

23.5x = 11.8

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3 years ago
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