The Drive Chain in a Bicycle Is Applying a Torque

question 22

Multiple Choice

The drive chain in a bicycle is applying a torque of 0.850 N ∙ m to the wheel of the bicycle.You can treat the wheel as a thin uniform hoop (or ring) with a mass of 0.750 kg and a radius of 33.0 cm.What is the angular acceleration of the wheel?

• A)10.4 rad/s²
• B)20.8 rad/s²
• C)5.20 rad/s²
• D)3.43 rad/s²
• E)1.06 rad/s²

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Definitions:

Pareto Efficient Allocations

refers to an economic situation where no individual can be made better off without making someone else worse off.

First Theorem of Welfare Economics

A principle stating that, under perfect competition and with no externalities, the allocation of resources where supply equals demand leads to a Pareto efficient outcome.

Competitive Equilibrium

A state in a market where supply equals demand, with price acting as the balancing factor, and all economic agents are optimizing their outcomes.

Pareto Optimum

An economic state where resources are allocated in a manner that precludes the possibility of bettering one's situation without causing harm to another.