A 10 -speed bicycle has five gears on the rear wheel. When...

Name: Problem 16, Chapter 8: Physics: A Conceptual World View
Uploaded: 2020-06-12T21:48:06-08:00
Duration: 1 min 8 s
Channel: Mayukh Banik
Description: A 10 -speed bicycle has five gears on the rear wheel. When the bicycle is in first gear, is the chain on the gear with the largest radius or the smallest radius? Use the concept of torque to explain your answer.

A 10 -speed bicycle has five gears on the rear wheel. When the bicycle is in first gear, is the chain on the gear with the largest radius or the smallest radius? Use the concept of torque to explain your answer.

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Key Concepts

Gear Ratio

The gear ratio is the relationship between the sizes of interlocking gears and determines how pedal rotations translate to rear wheel rotations. In lower gears, using a larger gear ensures a higher torque output even though it may result in slower speeds, making it easier to start moving or climb inclines.

Lever Principle

The lever principle explains how applying force at a longer distance from the pivot increases torque. In the context of bicycles, the larger radius gear acts like a longer lever, providing an amplified rotational force that aids in overcoming resistance when starting or climbing.

Torque

Torque is the measure of the rotational force applied to an object and is calculated as the product of the applied force and the distance from the pivot point (radius). In gear systems, a larger radius increases the torque output for a given force, making it easier to move the bicycle under load.

Mechanical Advantage

Mechanical advantage is the benefit gained by using a system that multiplies input force to produce a greater output force. When a gear with a larger radius is used, it allows the rider to apply force more effectively, reducing the effort needed to pedal, which is crucial in lower gear settings.

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