What is the gear ratio of a compound gear?

What is the gear ratio of a compound gear?

To obtain the gear ratio, TV = (output rate)/(input rate), of a compound gear train, an illustrated example is presented in this section. The procedure is to start with the input, and to calculate how the angular velocity propagates through each successive intermeshing pair of gears based upon the number of teeth.

How do you calculate gear ratios?

By simply dividing the ring gear tooth count by the pinion gear tooth count, the ratio is determined. For example, if we divide a ring gear with 41 teeth by a pinion gear with 10 teeth we find that the gear ratio is 4.10:1 (41/10 = 4.10).

How do you calculate gear ratios on a calculator?

The calculation uses the number of teeth in the ring gear and divides it by the number of teeth in the pinion gear to provide you with a “[result] to 1” ratio. For example, if the pinion gear has 41 teeth, and the ring gear has 11 teeth, the ratio would be calculated as 41/11, which is equal to 3.73 = 3.73:1.

What is Train value in gear train?

Simple Gear Train The ratio of speed of the driven or follower to the speed of the driver is known as Train Value (TV).

What is a compound gear train?

Compound gear trains involve several pairs of meshing gears. They are used where large speed changes are required or to get different outputs moving at different speeds.

What is the planetary gear ratio?

The planet gears (blue) turn in a ratio determined by the number of teeth in each gear. Here, the ratio is −24/16, or −3/2; each planet gear turns at 3/2 the rate of the sun gear, in the opposite direction.

How are planetary gear teeth calculated?

This ensures that the teeth mesh. That is to say, the number of teeth in the ring gear is equal to the number of teeth in the middle sun gear plus twice the number of teeth in the planet gears….Working out planetary gear turns ratios.

Tr	Turns of the ring gear
R	Ring gear teeth
S	Sun gear teeth
P	Planet gear teeth

Which is correct formula for speed ratio?

To calculate speed ratio, otherwise known as gear ratio, you divide the number of teeth of the input gear by the number of teeth of the output gear.

How do you calculate rear end gear ratio?

Count the number of teeth on the pinion gear and count the number of teeth on the ring gear. Divide the ring gear teeth number by the number of teeth on the pinion. The result is your gear ratio.

How do you calculate gear ratio speed?

How to calculate the gear ratio of a planet?

Planetary gear ratio calculations. That is to say, the number of teeth in the ring gear is equal to the number of teeth in the middle sun gear plus twice the number of teeth in the planet gears. In the gear at left, this would be 30 = 2 × 9 + 12.

How are gear ratios determined in multiple stages?

Determining compound gear ratios (multiple stages) When a gear train has multiple stages, the gear ratio for the overall gearing system is the product of the individual stages. For example, for the gear at left the blue gears are 7 and 21 teeth, while the green gears are 9 and 30 teeth. Thus, the first gear ratio is 7:21 and the second is 9:30.

How is gear ratio used to calculate speed and torque?

The term Gear Ratio is used to calculate the speed and torque of output gear when torque is applied to the input gear. For example, a gearbox is a type of gear train, that is used to increase engine torque and reduce the speed at the car wheels. The increase in torque depends on what gear you are driving your car.

What’s the gear ratio between 10 and 110 tooth gears?

The gear ratio between the 10 and the 110 tooth gears will still be the same, though the 10 and 110 tooth gears will now rotate in the same direction, whereas before they turned in opposite directions. With the 35-tooth gear in between, we can now think of now having a 10:35 tooth reduction, followed by a 35:110 tooth reduction.