Questions: The average adult heart pumps about 84 mJ / s of blood at 72 beats per minute. Suppose you need to calculate how long it would take the average heart to circulate 4600 mL of blood. Set the math up. But don't do any of it. Just leave your answer as a math expression. Also, be sure your answer includes all the correct unit symbols. time =

The average adult heart pumps about 84 mJ / s of blood at 72 beats per minute. Suppose you need to calculate how long it would take the average heart to circulate 4600 mL of blood. Set the math up. But don't do any of it. Just leave your answer as a math expression. Also, be sure your answer includes all the correct unit symbols. time =
Transcript text: The average adult heart pumps about $84 . \mathrm{mJ} / \mathrm{s}$ of blood at 72 beats per minute. Suppose you need to calculate how long it would take the average heart to circulate $4600 . \mathrm{mL}$ of blood. Set the math up. But don't do any of it. Just leave your answer as a math expression. Also, be sure your answer includes all the correct unit symbols. \[ \text { time }= \]
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Solution

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Solution Steps

Step 1: Determine the Volume of Blood Pumped per Beat

First, we need to find out how much blood the heart pumps with each beat. Given that the heart pumps at a rate of 72 beats per minute, and the power output is \(84 \, \text{mJ/s}\), we need to convert this power into a volume per beat. However, since the problem asks for a setup and not a solution, we will express the volume per beat as \(V_{\text{beat}}\).

Step 2: Calculate the Total Number of Beats Required

Next, we need to determine how many beats are required to circulate \(4600 \, \text{mL}\) of blood. This can be expressed as: \[ \text{Number of beats} = \frac{4600 \, \text{mL}}{V_{\text{beat}}} \]

Step 3: Calculate the Time Required

Finally, we calculate the time it takes for the heart to circulate the \(4600 \, \text{mL}\) of blood. Since the heart beats 72 times per minute, the time in minutes can be expressed as: \[ \text{time} = \frac{\text{Number of beats}}{72 \, \text{beats/minute}} \]

Final Answer

\[ \text{time} = \frac{4600 \, \text{mL}}{V_{\text{beat}}} \times \frac{1}{72 \, \text{beats/minute}} \] \(\boxed{\text{time} = \frac{4600 \, \text{mL}}{V_{\text{beat}} \times 72 \, \text{beats/minute}}}\)

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