$\text { Find the acceleration vector in terms of } u _ { r } \text { and } u _ { \theta } \text {. }$

question 15

Multiple Choice

$\text { Find the acceleration vector in terms of } u _ { r } \text { and } u _ { \theta } \text {. }$
- $\mathrm { r } = 2 \cos 3 \mathrm { t }$ and $\theta = 4 \mathrm { t }$

• A) \(\mathbf { a } = ( - 50 \sin 3 \mathrm { t } ) \mathbf { u } _ { \mathrm { r } } - 48 \cos 3 \mathbf { t u } _ { \theta }\)
• B) \(\mathbf { a } = ( - 50 \cos 3 \mathrm { t } ) \mathbf { u } _ { \mathrm { r } } + 48 \sin 3 \mathbf { t u } _ { \theta }\)
• C) \(\mathbf { a } = ( - 50 \cos 3 \mathrm { t } ) \mathbf { u } _ { \mathrm { r } } - 48 \sin 3 \mathbf { t u } _ { \theta }\)
• D) \(\mathbf { a } = ( - 50 \cos 4 \mathrm { t } ) \mathbf { u } _ { \mathrm { r } } - 48 \sin 4 \mathrm { tu } _ { \theta }\)

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Definitions:

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Substances that cause harm to living organisms through chemical reactions or other processes.

Oxygen Requirements

The specific amount of oxygen needed by organisms to sustain their life processes.

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Waste materials, typically organic in nature, that reduce the dissolved oxygen in water bodies, affecting aquatic life.

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A process of reclaiming used water for reuse, often involving the treatment of wastewater to remove pollutants and impurities.