/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 55 Estimate the length of a human l... [FREE SOLUTION] | 91Ó°ÊÓ

91Ó°ÊÓ

Estimate the length of a human lifetime, in seconds.

Short Answer

Expert verified
An estimated length of a human lifetime is approximately 2,207,520,000 seconds.

Step by step solution

01

Establishing an average human lifespan

Assume the average human lifespan is 70 years. This is an estimation and the actual average lifespan may vary.
02

Convert years to days

To convert the lifespan into seconds, first convert the years to days. Use the fact that 1 year equals 365 days (leap years are not taken into account). Thus, 70 years equal \(70 \times 365 = 25550\) days.
03

Convert days to hours

Next, convert the days to hours. We know that 1 day has 24 hours. Hence, \(25550\) days correspond to \(25550 \times 24 = 613200\) hours.
04

Convert hours to minutes

Continuing with the conversion, turn the hours into minutes. One hour has 60 minutes, so \(613200\) hours equal \(613200 \times 60 = 36792000\) minutes.
05

Convert minutes to seconds

Finally, convert the minutes to seconds. One minute is 60 seconds. Therefore, \(36792000\) minutes are \(36792000 \times 60 = 2207520000\) seconds.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Units Conversion
Understanding units conversion is a fundamental part of physics and other scientific studies, as it enables us to translate measurements into different units for ease of understanding or application. Conversions are based on equivalency relationships between units. For example, time can be measured in seconds, minutes, hours, days, or years, and each of these units can be converted into another.

When converting larger units to smaller ones, as we do with years to seconds, the process involves multiplication. In our exercise, we started with an average lifespan in years and converted it stepwise down to seconds. We multiply by the number of days in a year, hours in a day, minutes in an hour, and finally, seconds in a minute. This sequential method ensures accuracy and helps us to grasp the scale of different units of measurement.

Simple mathematical operations are employed, but the key is knowing the conversion factors:
  • 1 year = 365 days (disregarding leap years)
  • 1 day = 24 hours
  • 1 hour = 60 minutes
  • 1 minute = 60 seconds
With these, we systematically increased the numerical value to reach the correct unit, which resulted in the total lifespan measured in seconds. Without unit conversion, it would be challenging to interpret scientific data or make meaningful comparisons across different scales.
Time Measurement
The measurement of time is a crucial aspect of both daily life and scientific investigation. It allows us to understand durations and intervals, and to compare the lengths of different events. Time can be measured in many units depending on the needs of what is being recorded – common units include seconds, minutes, hours, days, and years.

In our calculation, it was necessary to understand the structure of time: that years are made up of days, days of hours, hours of minutes, and minutes of seconds. Each step in the conversion process reflects a hierarchy of time units. Alongside this is the concept of average human lifespan – a data point calculated from statistical analysis which represents a typical duration a person may live. When we estimate the lifetime in years and then convert down to seconds, we achieve a precise measurement of an average person's life in the most granular unit of time: the second.

Having a solid grasp of time measurement is not only essential for solving physics problems but is also indispensable for many aspects of our everyday experiences and allows us to synchronize activities in a cohesive manner.
Average Human Lifespan
The term average human lifespan refers to the typical age that people are expected to live, based on statistical averages. This figure varies depending on factors such as geographical location, gender, lifestyle, healthcare availability, and historical period. It is important to note that 'average' does not necessarily indicate the age to which every individual will live, but it provides us with a benchmark for demographic studies and planning.

In the exercise we worked on, we assumed an average lifespan of 70 years, which is a simplified representation often used for educational purposes or initial estimations. However, global average lifespans can differ significantly. Understanding the concept of average lifespan is not only crucial for this exercise but also provides insight into population health, informs policy-making, and helps insurers calculate life insurance premiums.

It is also a poignant reminder of the finite nature of life, encouraging mindfulness in how we spend our time. When expressed in seconds, the average lifespan becomes a vast number, signifying the preciousness of each moment and the importance of living with intention.

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Most popular questions from this chapter

Are motion problems similar to those you will learn to solve in Chapter \(2 .\) For now, simply interpret the problem by drawing a motion diagram showing the object's position and its velocity vectors. Do not solve these problems or do any mathematics. In a typical greyhound race, a dog accelerates to a speed of \(20 \mathrm{m} / \mathrm{s}\) over a distance of \(30 \mathrm{m} .\) It then maintains this speed. What would be a greyhound's time in the \(100 \mathrm{m}\) dash?

Evan is just leaving his house to visit his grandmother. Normally, the trip takes him 25 minutes on the freeway, going 55 mph. But tonight he's running 5 minutes late. How fast will he need to drive on the freeway to make up the 5 minutes?

In Michael Johnson's world-record \(400 \mathrm{m}\) sprint, he ran the first \(100 \mathrm{m}\) in \(11.20 \mathrm{s} ;\) then he reached the \(200 \mathrm{m}\) mark after a total time of 21.32 s had elapsed, reached the 300 m mark after \(31.76 \mathrm{s},\) and finished in \(43.18 \mathrm{s}\) a. During what 100 m segment was his speed the highest? b. During this segment, what was his speed in \(\mathrm{m} / \mathrm{s}\) ?

A man rides a bike along a straight road for \(5 \mathrm{min}\), then has a flat tire. He stops for 5 min to repair the flat, but can't fix it. He walks the rest of the way, which takes him another 10 min. Use the particle model to draw a motion diagram of the man for the entire motion described here. Number the dots in order, starting with zero.

Convert the following to SI units: a. 8.0 in b. \(66 \mathrm{ft} / \mathrm{s}\) c. \(60 \mathrm{mph}\)

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