The gear ratio is the ratio of the number of teeth on the driven gear to the number of teeth on the driver gear. A ratio greater than 1 indicates speed reduction and torque multiplication, while a ratio less than 1 indicates speed increase and torque reduction.
For two gears: Gear Ratio = Driven Teeth / Driver Teeth
For multiple gears: Multiply the individual ratios between each pair.
Output RPM = Input RPM / Gear Ratio
Low gear ratios (high numerical value) provide more torque for climbing hills or accelerating.
High gear ratios (low numerical value) provide higher speed at lower engine RPM for fuel efficiency.
Typical gear efficiencies:
Vehicle speed depends on:
Formula: MPH = (RPM × Tire Diameter) / (Gear Ratio × 336)
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Basically, gear ratio’s just a fancy way of saying “how many times does one gear spin compared to another?” It’s all about the number of teeth on your two gears. The ratio tells you how torque and speed get swapped around inside your machine. In plain English: for every spin of the driving gear, how far does the other one go? That’s your gear ratio.
Here’s the magic (okay, super simple) equation:
Gear Ratio = Teeth on Driven Gear ÷ Teeth on Driving Gear
Let’s say your driven gear has 40 teeth and the driver’s got 20. You do the math:
Gear Ratio = 40 / 20 = 2:1
So, the driving gear’s gotta spin twice to make the big one go around once. Easy.
Short answer: everywhere with gears. But here’s the greatest hits:
Not all ratios are created equal. Here’s the rundown:
You’ll see how many spins the driver needs for one lap of the driven gear. Couldn’t be simpler.
Suppose:
So here’s how it plays out:
Gear Ratio = 36 / 12 = 3:1
Meaning? Your driver spins three times to get the big guy around once.
If your ratio’s above 1, you’re cranking up torque but losing speed. Below 1? More speed, less muscle. Striking that balance is what separates the pros from the folks stripping gears for fun.
Q1: What’s a solid gear ratio if I want speed?
Go for a ratio less than 1, like 1:2. Basically, your output spins faster but you lose some muscle (torque). Perfect if you’re gunning it on smooth ground.
Q2: What about if I need more torque?
Crank it above 1, say 3:1. Now you’ve got more grunt for hills, hauling stuff, or just flexing on your friends. You’ll be slower, but you’ll climb like a champ.
Q3: Can I use decimal gear ratios, or is that, like, illegal?
Decimals are totally fair game. You might see something like 2.75:1—sometimes you just need that Goldilocks zone between two whole numbers.
Q4: Will changing my gear ratio mess with my fuel efficiency?
Yeah, it can. Lower ratio (faster speeds) usually means better mileage cruising on flat roads. Higher ratio (more torque) helps when you’re towing or climbing, but don’t expect miracles at the pump.
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So, seriously, throw this calculator in your bookmarks. Next time you’re knee-deep in gears, you’ll thank yourself. Probably.