an organ pipe that is open at both ends is 4.0 m long.

part a
what is its fundamental frequency?
express your answer using two significant figures.
$f_1 =$ hz

Question

an organ pipe that is open at both ends is 4.0 m long.

part a
what is its fundamental frequency?
express your answer using two significant figures.
$f_1 =$   hz

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [], "new_concepts": [ "Standing Waves in Pipes", "Fundamental Frequency" ], "current_concepts": [ "Standing Waves in Pipes", "Fundamental Frequency" ] } ## Identify given parameters and fundamental frequency formula $$ \begin{aligned} L &= 4.0\text{ m} \ v &\approx 343\text{ m/s (speed of sound in air at } 20^\circ\text{C)} \ f_1 &= \frac{v}{2L} \end{aligned} $$ ## Calculate the fundamental frequency $$ \begin{aligned} f_1 &= \frac{343}{2 \times 4.0} \ f_1 &= \frac{343}{8.0} \ f_1 &= 42.875\text{ Hz} \end{aligned} $$ ## Round to two significant figures $$ f_1 \approx 43\text{ Hz} $$ An organ pipe that is open at both ends is 4.0 m long. What is its fundamental frequency? Express your answer using two significant figures. $f_1 =$ 43 $\text{Hz}$ { "subject": "Natural Science", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Natural Science", "Physics", "Standing Waves in Pipes" ] }

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Question

Explanation:

Identify given parameters and fundamental frequency formula

Calculate the fundamental frequency

Round to two significant figures

Answer: