Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 1: Problem 46

What is the order of magnitude of the number of seconds in one year?

Short Answer

Expert verified
Answer: The order of magnitude of the number of seconds in one year is approximately 8.

Step by step solution

01

Calculate the number of seconds in a year

First, we need to find out how many seconds are in a year. We know that: 1 year = 365 days (ignoring leap years) 1 day = 24 hours 1 hour = 60 minutes 1 minute = 60 seconds To find the total number of seconds in a year, we will multiply the number of days in a year by hours, minutes, and seconds: Total seconds = (365 days) × (24 hours/day) × (60 minutes/hour) × (60 seconds/minute)
02

Calculate the order of magnitude

To find the order of magnitude, we need to express the total number of seconds as a power of 10. We can use the base-10 logarithm to do this: Total seconds = 365 × 24 × 60 × 60 Total seconds ≈ 31,536,000 Now we will find the order of magnitude using the base-10 logarithm: Order of magnitude = log10(31,536,000) ≈ 7.5 Since the order of magnitude should be a whole number, we will round it to the nearest whole number: Order of magnitude ≈ 8 Thus, the order of magnitude of the number of seconds in one year is approximately 8.

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

Use dimensional analysis to determine how the linear speed $(v \text { in } \mathrm{m} / \mathrm{s}$ ) of a particle traveling in a circle depends on some, or all, of the following properties: \(r\) is the radius of the circle; \(\omega\) is an angular frequency in \(\mathrm{s}^{-1}\) with which the particle orbits about the circle, and \(m\) is the mass of the particle. There is no dimensionless constant involved in the relation.
An expression for buoyant force is \(F_{\mathrm{B}}=\rho g V,\) where \(F_{\mathrm{B}}\) has dimensions \(\left[\mathrm{MLT}^{-2}\right], \rho\) (density) has dimensions \(\left[\mathrm{ML}^{-3}\right],\) and \(g\) (gravitational field strength) has dimensions \(\left[\mathrm{LT}^{-2}\right]\). (a) What must be the dimensions of \(V ?\) (b) Which could be the correct interpretation of \(V:\) velocity or volume?
The "scale" of a certain map is \(1 / 10000 .\) This means the length of, say, a road as represented on the map is \(1 / 10000\) the actual length of the road. What is the ratio of the area of a park as represented on the map to the actual area of the park? (tutorial: scaling)
In the following calculations, be sure to use an appropriate number of significant figures. (a) \(3.68 \times 10^{7} \mathrm{g}-4.759 \times 10^{5} \mathrm{g}\) (b) $\frac{6.497 \times 10^{4} \mathrm{m}^{2}}{5.1037 \times 10^{2} \mathrm{m}}$
A poster advertising a student election candidate is too large according to the election rules. The candidate is told she must reduce the length and width of the poster by \(20.0 \% .\) By what percentage will the area of the poster be reduced?
See all solutions

Recommended explanations on Physics Textbooks

Nuclear Physics

Read Explanation

Electromagnetism

Read Explanation

Waves Physics

Read Explanation

Electric Charge Field and Potential

Read Explanation

Turning Points in Physics

Read Explanation

Fluids

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