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Respect The Tech: When Art Does Not Reflect Real Life

We are an industry very focused on our own image. But, sometimes we need to step back to get a global perspective on the issue. Shutterstock.com is a website where photographers can sell stock photographs online for magazines, advertisements and billboards....

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Consistently Selling Maintenance Boosts Customer Satisfaction, ­Retention

While seasons change, your maintenance strategy should be consistent year-round. For this edition of ­Maintenance Chronicle, we take a snapshot of the maintenance sales of an 11-bay shop in ­upstate New York during a two-week ­period. What did...

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Documenting Inspections: Are You Leaving Maintenance Dollars On The Table?

How do you translate scribbles on a ­repair order into sales? There is no magic trick involved — the key is to document the vehicle ­inspection process. The more you know about your customers’ vehicles, and the more you are able to document...

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Audi: Transmission Does Not Shift Due To Cabin Air Filter

Model: 2001 Audi A6 Avant Quattro, 2.8L Complaint The customer states the transmission does not shift. Cause Confirmed the customer’s complaint and found the transmission did not shift. Inspected the automatic transmission fluid level and condition...

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Kia Driveability Diagnostics: Chasing Intermittent Gremlins

This month, we find ourselves looking at a 2004 Kia ­Sorrento that the owner says is losing power and stalling with no established pattern. It will run well for days or even weeks at a time without a problem, only to then act up without warning,...

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Mercedes-Benz: Noise in Front of Vehicle/Dash Area

Affected Models: Model 203.052/054/092/056/087 Model 209.356/365/372/375/376/377/456/ 465/472/475/476/477 If you receive customer reports of noise from the center of the dash area in the above-listed vehicles, this may be caused by a portion of...

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Equipment and Tool Institute Launches an Important Market Research Study on New Car Buying Preferences of Consumers

In an effort to assist its members in having the latest market information and bringing new and improved equipment and tools to the marketplace, The Equipment and Tool Institute (ETI) has launched a series of Market Research Projects. The current...

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Redline Detection Names 2015 Redline Rock Star Performance Award Winner

Redline Detection has announced the winner of its 2015 Redline Rock Star Performance Award. Rob McNees of Truck Centers, Inc. (TCI) was selected by the Redline Technical Advisory Board as the winner and received more than $4,000 in cash and prizes from...

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Rivet Bonding Comes Full Blast

By Mitch Becker for BodyShop Business   By now, most of you have heard the news that Ford has mainstreamed rivet bonding with the introduction of the 2015 F-150. This has forced many shops to look into some new equipment, such as self piercing...

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Diagnosing Catalytic Converter Failure Symptoms

Although construction can vary according to engine application, the common three-way catalytic converter contains a reduction and oxidation stage. To create maximum surface area, each stage is generally a ­ceramic or stainless steel honeycomb substrate...

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Coolant Transfusion: Proper Selection Prevents System Degradation

Coolant is easily analogized to blood, both being liquids that are essential to the functioning of an entire complex system. The analogy extends even ­further though because, like blood, coolant has different types, and it’s not a stretch these...

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7 Reasons Direct-Injection High-Pressure Fuel Pumps Fail

Don’t be scared by direct fuel injection diagnostics. In theory, these systems operate on the same principles as port fuel injection, but direct injection can inject more precise amounts of fuel into the combustion chamber so the engine can run leaner...

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Home Brakes BRAKE MATH: CALCULATING THE FORCE NEEDED TO STOP A CAR

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I made a mistake probably because of my distaste of math, now it is time to learn from it. In a three-part series, we will look at the math of brakes. We will start with the driver pushing the brake pedal and end with the pad contacting the rotor and bringing the car to a stop. Along the way, we will explore the math of boosters, quick take-up master cylinders and caliper sizing. 
 
On a mechanical level, it is easy to understand how brakes work. We all understand that brake fluid transfers force from one hydraulic component to another. But, how does this apply to how a brake pedal feels? This is where math is required.
 
You need only two simple math equations to commit to memory. First, the equation for calculating the surface area of a circle (caliper or master cylinder piston) is p(3.14) x radius2. Second, pressure is equal to the force divide by the area or pounds per square inch.  The rest of the math is just multiplication, division and addition/subtraction.

Pedal Ratio
Lets start with the driver. In a sitting position, the average driver can comfortably generate 70 lbs. of force on the rubber pad at the end of the brake pedal. The brake pedal is nothing more than a 
mechanical lever that amplifies the force of the driver. This is where the pedal ratio comes into play.
 
Pedal ratio is the overall pedal length or distance from the pedal pivot to the center of the pedal pad divided by the distance from to the pivot point to where the push rod connects.
 
The optimal pedal ratio is 6.2:1 on a disc/drum vehicle without vacuum or other assist method. This means that the 70 lbs. the driver has applied now is amplified to 434 lbs. (6.2 x 70 lbs.) of output force. The problem is that the travel of the pedal is rather long due to the placement pivot point and master cylinder connection.
Brake Boosters
A booster increases the force of the pedal so lower mechanical pedal ratio can be used. A lower ratio can give shortened pedal travel and better modulation. Most vacuum boosted vehicles will have a 3.2:1 to 4:1 mechanical pedal ratio.
 
The size of the booster’s diaphragm and amount of vacuum generated by the engine, will determine how much force can be generated. Most engines will generate around -8 psi of vacuum (do not confuse with inches of HG or Mercury). If a hypothetical booster with 7-inch diaphragm is subjected to -8 psi of engine vacuum, it will produce more than 300 lbs. of addition force. Here is the math:
 π(3.14) X radius(3.5)2 = 38.46 sq/inches of diaphragm surface area X 8 psi (negative pressure becomes positive force)= 307.72 lbs of output force
To keep things simple, let’s return to our manual brake example. The rod coming from the firewall has 434 lbs. of output force. When the force is applied to the back of the master cylinder, the force is transferred into the brake fluid.
The formula for pressure is force divided by the surface area.  
If the master cylinder has a 1-inch bore, the piston’s surface area is .78 square inches. If you divide the output force of 434 lbs. by the surface area of the piston, you would get 556 psi(434 lbs. divided by .78 inches) at the ports of the master cylinder. Not bad for a 70 lbs. of human effort.
If you reduce the surface area of the piston you, will get more pressure.
 
This is because the surface area is smaller, but the output force from the pedal stays the same. If you used a master cylinder with a bore of .75 inches that has a piston that has .44 inches of piston surface area, you would get 986 psi at the ports for the master cylinder (434 lbs. divided by .44 inches).
 
But, how is this force transferred to the calipers? How does the size of the caliper piston change the force needed to push the brake pad to the rotor? We will explore this next month. 
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Andrew Markel

Andrew Markel is an ASE Certified Technician and former service writer, and he brings this practical knowledge to the Brake & Front End team as editor.

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