GEAR RATIOS Refer to the illustration below. a. Write the...

Name: Problem 73, Chapter 6: Prealgebra
Uploaded: 2020-07-19T21:40:19-08:00
Duration: 31 s
Channel: Ali Soave
Description: GEAR RATIOS Refer to the illustration below. a. Write the ratio of the number of teeth of the smaller gear to the number of teeth of the larger gear in simplest form. b. Write the ratio of the number of teeth of the larger gear to the number of teeth of the smaller gear in simplest form. (IMAGE CANNOT COPY)

GEAR RATIOS Refer to the illustration below. a. Write the ratio of the number of teeth of the smaller gear to the number of teeth of the larger gear in simplest form. b. Write the ratio of the number of teeth of the larger gear to the number of teeth of the smaller gear in simplest form. (IMAGE CANNOT COPY)

GEAR RATIOS Refer to the illustration below.
a. Write the ratio of the number of teeth of the smaller gear to the number of teeth of the larger gear in simplest form.
b. Write the ratio of the number of teeth of the larger gear to the number of teeth of the smaller gear in simplest form.
(IMAGE CANNOT COPY)

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Key Concepts

Gear Ratios

A gear ratio specifically compares the number of teeth between two gears. It determines how many rotations one gear makes relative to another and is critical in mechanical systems to modify speed and torque. Understanding gear ratios allows one to analyze and predict the behavior of interconnected gears.

Simplifying Ratios

Simplifying a ratio involves reducing the two numbers to their smallest whole number terms while maintaining the same proportional relationship. This is often done by dividing both parts of the ratio by their greatest common divisor, making the ratio easier to understand and work with.

Ratio

A ratio is a way to compare two quantities by showing the relative size of one quantity to another. Ratios can be expressed in different forms, such as a:b or as a fraction, and they are fundamental for comparing relationships between numbers or measurements in various situations.

Reciprocal Ratios

Reciprocal ratios describe the inverse relationship between two quantities. In the context of gear ratios, switching the order of the gear counts yields the reciprocal ratio, which provides insight into how the roles of the gears are reversed in terms of speed and torque output.

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