Assume a resting heart rate of for an average human

MATHEMATICS · Multi-part · CBSE · Mathematics · Power Play · Power Play

Problem

Assume a resting heart rate of 72 beats min−172\,\text{beats}\,\text{min}^{-1} for an average human. If the average life expectancy is 75 years75\,\text{years}, estimate the total number of heartbeats in one lifetime. Proceed as outlined below. (i) Convert 75 years75\,\text{years} into the total number of minutes, showing all steps clearly. (ii) Using the resting heart rate, calculate the lifetime total number of heartbeats and present your answer in scientific notation with two significant figures. (iii) Give the order of magnitude of the result and discuss briefly whether occasional variations in heart rate would significantly alter this order of magnitude.

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