Question
The heart of a resting adult pumps blood at a rate of 5.00 L/min. (a) Convert this to . (b) What is this rate in ?
Final Answer
Solution video
OpenStax College Physics, Chapter 12, Problem 2 (Problems & Exercises)
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Video Transcript
This is College Physics Answers with Shaun Dychko. We're going to convert the flow rate of blood from an adult heart when the adult is resting from liters per minute into cubic centimeters per second and cubic meters per second. The flow rate is five liters per minute. And we have to set up a whole bunch of conversion factors such that the units we don't want will cancel away leaving the units that we do want behind. So we want cubic centimeters per second. So, these liters need to be turned into cubic centimeters and first we multiply by cubic centimeter per milliliter because this is the thing I happen to have memorized but that doesn't quite finish the story with canceling liters because this is liter and this is milliliters. So then we also need to deal with that and get rid of the milliliters leaving us with liters in the denominator which then cancel with these liters in the numerator there. And that results in centimeters cubed being in the numerator. Then we multiply by one minute for every 60 seconds so these minutes cancel leaving us with seconds in our denominator and we have cubic centimeters per second now. So it's five times 1000 divided by 60 gives us 83.3 cubic centimeters per second. And if we want to convert into cubic meters per second we're going to start we could've used this number and figured out the conversion between cubic centimeters to cubic meters but instead of using an answer that we've calculated in a subsequent calculation we're gonna start with the information directly given by the question because there is a possibility we made a mistake in our calculation and then that mistake within cause or next work to be mistaken as well. So starting from five liters per minute we multiply by one cubic meter for every 1000 liters canceling liters leaving us with cubic meters in the top and then multiply by one minute for every 60 seconds and the minutes cancel. And so we have 8.33 times ten to the negative five cubic meters per second.