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Distance traveled = wheel circumference Number of laps.
Wheel circumference = wheel diameter and pi.
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The number of teeth of the front gear multiplied by the number of revolutions = the number of teeth of the rear wheel multiplied by the number of revolutions.
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The distance of one pedal lap = wheel circumference x (number of front teeth: number of rear teeth).
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Number of turns of the front gear Number of turns of the rear gear = Number of teeth of the rear gear Number of teeth of the front gear.
Turn forward).
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The point trajectory on the wheel is cycloidal.
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The math in the bike: the distance traveled, the circumference of the wheel, the number of laps; Zheng Li: This wheel is buried around the long wheel diameter and pi.
The circumference of the wheel is calculated by the formula of 2 r, r is the radius of the bicycle wheel, and in most cases the length of the bicycle spokes. Therefore, how long is the bicycle pedaling a lap, measure the length of the bicycle spokes and multiply it by 2 and then multiply, which is the distance traveled by shouting fast cycling.
The formula for the distance traveled by the bicycle in one lap: distance Wheel circumference (number of teeth at the front and number of teeth at the rear). The main thing is to calculate the number of teeth of the big gear is several times the number of teeth of the back pinion, in fact, it is often said that the big gear turns a circle, and the pinion should turn "n" turn.
Because the wheel is synchronized with the pinion, the number of turns of the pinion is the number of turns of the wheel. In fact, it is often said that the "n" of the talent should be obtained. Then calculate the circumference of the wheel "s".
Formula derivation in bicycles
When pedaling a lap, the roulette wheel (front gear) also rotates a circle, the roulette wheel has m teeth, and the flywheel (rear gear) has n teeth, because it relies on the chain transmission, the flywheel also turns m teeth, and the number of turns of the flywheel is actually the number of turns of the wheel that is often said to be m:n.
This number of laps can be fully multiplied by the circumference of the wheel to get the distance, in fact, it is often said that the distance ridden by a lap Wheel circumference x (number of teeth of the front gear: number of teeth of the rear gear).
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The mathematical formula in the bicycle includes the distance traveled = wheel circumference number of laps, wheel circumference = wheel diameter pi, distance traveled = wheel circumference number of laps, number of laps = total distance distance of the wheel, number of rear gear revolutions = number of front gear revolutions number of teeth, number of front gear revolutions = number of rear gear revolutions number of teeth, forward distance = 1 call 4 tire circumference, number of wheel rolling turns = number of rear wheel gear revolutions number of rear gear teeth, number of turns = number of rear wheel revolutions (number of rear gear teeth and number of teeth), number of turns = number of rear wheel revolutions (number of rear gear teeth number of teeth).
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Number of front teeth * number of revolutions = total number of teeth = number of rear teeth * number of revolutions, number of rear gear revolutions = number of teeth of front gear Number of rear gear teeth burning front, distance forward = length of the wheel circumference Circle number of turns, wheel circumference = wheel diameter Pi.
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Summary. The mathematical knowledge in the bicycle includes: (1) the knowledge of triangles:
Most of the frames of bicycles are made into triangles by taking advantage of the stability of the triangle. (2) The wheels of the bicycle are round, the shaft of the wheel is on the center of the circle, and the length of each steel in the wheel is the length of the radius. The number of teeth of the front gear The number of turns of the front gear = the number of teeth of the rear gear The number of turns of the rear gear When the front gear turns 1 turn, we can further obtain:
Number of front gear teeth 1 turn = number of rear gear teeth Number of turns of rear gear rotation Number of turns of rear gear rotation = number of front gear teeth Number of rear gear teeth Distance traveled by bicycle pedaling = wheel circumference Number of turns of rear gear pedaling distance traveled by bicycle = wheel circumference Number of front gear teeth Number of rear gear teeth.
The mathematical knowledge in the bicycle includes: (1) the knowledge of triangles: most of the frames of bicycles are made into triangles by using the stability of triangles.
(2) The wheels of the bicycle are round, the shaft of the wheel is on the center of the circle, and the length of each steel in the wheel is the length of the radius. The number of lead teeth of the front gear The number of turns of the front gear = the number of teeth of the rear gear The number of turns of the rear gear When the front gear turns 1 time, I can further obtain: the number of front gear teeth 1 turn = the number of rear gear teeth The number of turns of the rear gear = the number of front gear teeth The number of rear gear teeth The distance traveled by the bicycle in one lap = the circumference of the wheel The number of turns of the rear gear The distance traveled by the bicycle = the circumference of the wheel The number of front gear teeth The number of rear gear teeth The number of rear gear teeth.
First of all, we will understand the types of bicycles and the knowledge that have been learned in bicycles, and then study the relationship between the speed and internal structure of ordinary bicycles, and observe them through the actual posture as shown in 1A kick is a turn of the front gear at the pedal. 2.
The number of turns of the wheel is actually the number of turns of the rear gear Then step by step, step by step, the distance traveled by the bicycle in a circle = the circumference of the wheel (the number of teeth of the front gear: the number of teeth of the rear gear) Finally, the number of speed dismantling degrees that can be changed by the variable speed bicycle is obtained, and the number of speed tracks = the number of front gears The number of rear gears.
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Wheel circumference (number of teeth at the front wheel, number of teeth at the rear wheel).
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1. Questions about bicycles:
1. Peddle around the bike and see how far the bike can go.
2. What is the relationship between the number of teeth of the front gear and the number of rotations of the front gear and the number of rotations of the rear gear?
3. How many speeds can a variable speed bike with 2 front gears and 6 rear gears change?
4. A variable speed bike with 2 front gears and 6 rear gears pedals the same number of laps, which combination makes the bike go the farthest.
2. Formula used:
1. The number of revolutions of the front gear is equal to the number of revolutions of the rear gear and the number of teeth of the rear gear.
2. The distance traveled by pedaling is equal to the number of teeth of the front gear after dividing by the circumference of the wheel.
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When pedaling and riding a lap, the roulette wheel (front gear) also rotates a circle, the roulette has m teeth, the flywheel (rear gear) has n teeth, because of the chain drive, the flywheel also turns m teeth, the number of turns of the flywheel rotation, that is, the number of turns of the wheel rotation is m:n, this number of turns and the circumference of the wheel can be multiplied to get the distance, that is, the distance ridden in a lap = wheel circumference x (number of front gear teeth: number of rear gear teeth).
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Distance traveled = wheel circumference x number of turns.
Wheel circumference = wheel diameter x pi.
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