Solve the Problem $\mathrm { V } = 189 \sin 120 \pi \mathrm { t }$

question 71

Multiple Choice

Solve the problem.
-Suppose that for an electrical appliance, voltage is given by $\mathrm { V } = 189 \sin 120 \pi \mathrm { t }$ and amperage by $I = 1.07 \sin 120 \pi \mathrm { t }$ , where $t$ is time in seconds. Use identities to write the wattage $W = V I$ in the form $\mathrm { W } = \mathrm { a } \cos \omega \mathrm { t } + \mathrm { c }$ .

• A) \(W = - 101.115 \cos 240 \pi t + 101.115\)
• B) \(\mathrm { W } = - 101.115 \cos 120 \pi t + 101.115\)
• C) \(\mathrm { W } = - 202.23 \cos 240 \pi \mathrm { t } + 202.23\)
• D) \(W = 101.115 \cos 240 \pi t - 101.115\)

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Definitions:

Automatization

The process by which tasks and skills become automatic through repetition, requiring minimal conscious thought or effort.

Encoding-specificity Principle

A principle in psychology that suggests the ease of recall of a particular memory is dependent on the similarity of the present cues to the cues at the time of memory encoding.

Sequential Processing

A cognitive operation where information is analyzed and processed in a linear, step-by-step manner, often crucial for tasks that require logical order.

Sensory Memory

The shortest-term element of memory that allows individuals to retain impressions of sensory information after the original stimuli have ended.