Logout Open In App
Open In App
Warning: foreach() argument must be of type array|object, bool given in /var/www/html/web/app/themes/studypress-core-theme/template-parts/header/mobile-offcanvas.php on line 20

Chapter 1: Problem 47

What is the order of magnitude of the height (in meters) of a 40 -story building?

Short Answer

Expert verified
Answer: The order of magnitude of the height of a 40-story building is 2.

Step by step solution

01

Estimate the height of a typical story

Assuming an average height of 3 meters per story, a 40-story building will have a height of 3 meters * 40 stories.
02

Calculate the height of the building

To find the total height of the building, multiply the height per story by the number of stories. 3 meters * 40 stories = 120 meters.
03

Find the order of magnitude

To find the order of magnitude of 120, we will use the base-10 logarithm. Let the order of magnitude be n. Then, 10^n ≈ 120. To find n, take the base-10 logarithm of both sides: n ≈ log10(120). Calculate log10(120) using a calculator or logarithm table: n ≈ 2.08 Since the order of magnitude is an integer, we will round n to the nearest integer: n ≈ 2 Thus, the order of magnitude of the height of a 40-story building in meters is 2.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

According to Kepler's third law, the orbital period \(T\) of a planet is related to the radius \(R\) of its orbit by \(T^{2} \propto R^{3}\) Jupiter's orbit is larger than Earth's by a factor of 5.19 What is Jupiter's orbital period? (Earth's orbital period is \(1 \text { yr. })\)
Perform these operations with the appropriate number of significant figures. (a) \(3.783 \times 10^{6} \mathrm{kg}+1.25 \times 10^{8} \mathrm{kg}\) (b) $\left(3.783 \times 10^{6} \mathrm{m}\right) \div\left(3.0 \times 10^{-2} \mathrm{s}\right)$
The weight \(W\) of an object is given by \(W=m g,\) where \(m\) is the object's mass and \(g\) is the gravitational field strength. The SI unit of field strength \(g\), expressed in SI base units, is \(\mathrm{m} / \mathrm{s}^{2} .\) What is the SI unit for weight, expressed in base units?
A molecule in air is moving at a speed of \(459 \mathrm{m} / \mathrm{s}\). How many meters would the molecule move during \(7.00 \mathrm{ms}\) (milliseconds) if it didn't collide with any other molecules?
(a) Estimate the average mass of a person's leg. (b) Estimate the length of a full-size school bus.
See all solutions

Recommended explanations on Physics Textbooks

Space Physics

Read Explanation

Force

Read Explanation

Kinematics Physics

Read Explanation

Solid State Physics

Read Explanation

Modern Physics

Read Explanation

Oscillations

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free