Suppose W (t) = 0.25 sin (A t - 0.5) represents the number of inches that a washing machine moves...
Question:
Suppose {eq}\displaystyle W (t) = 0.25 \sin (A t - 0.5) {/eq} represents the number of inches that a washing machine moves left or right. If the frequency of {eq}W (t) {/eq} is 2 Hz, which of the following is the value of A?
a) {eq}\dfrac 14 \pi {/eq}.
b) {eq}4 \pi {/eq}.
c) {eq}\pi {/eq}.
d) {eq}\dfrac 1 \pi {/eq}.
Frequency of a Sine Function:
If the equation of a sine function is given and we need to find its frequency, the first step should be to find the period of the function. Subsequently, the frequency can be found by using the following formula: $$\text{Frequency}=\dfrac1{\text{Period}} $$
Answer and Explanation: 1
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View this answerThe equation of the given function is: $$W(t)=0.25\sin(At-0.5) $$
Our objective is to determine the value of {eq}A. {/eq}
Since the frequency...
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Learn what the period of a wave is. Discover how to find the period of a wave using the period formula--also called the period equation--based on the frequency of a wave.
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