Log In Start studying!

Select your language

Suggested languages for you:
Deutsch (DE)
Deutsch (UK)
Deutsch (US)

Americas

Europe

Answers without the blur. Sign up and see all textbooks for free! → Illustration

Q22Q

Expert-verified
Physics Principles with Applications
Found in: Page 292
Physics Principles with Applications

Physics Principles with Applications

Book edition 7th
Author(s) Douglas C. Giancoli
Pages 978 pages
ISBN 978-0321625922

Answers without the blur.

Just sign up for free and you're in.

Register for Free I’ll do it later
Illustration

Short Answer

(a) How many seconds are there in 1.00 year? (b) How many nanoseconds are there in 1.00 year? (c) How many years are there in 1.00 second?

(a) The number of seconds in a year is \(3.15 \times {10^7}\;{\rm{s}}\). (b) The number of nanoseconds in a year is \({\rm{3}}{\rm{.15}} \times {\rm{1}}{{\rm{0}}^{16}}\;{\rm{ns}}\). (c) The number of years in one second is \({\rm{3}}{\rm{.17}} \times {\rm{1}}{{\rm{0}}^{ - 8}}\;{\rm{years}}\).

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :
TABLE OF CONTENTS

Step 1: Types of unit conversion

The types of unit conversion are as follows:

  • Metric to metric (Example: kilograms to decigrams)
  • Standard to standard (Example: miles to inches)
  • Time (Example: days to seconds)
  • Metric to standard or reverse (Example: pounds to grams or centimeters to miles)

Step 2: Unit conversion from years to seconds

Convert the unit of time from years to seconds.

\(\begin{aligned}{l}T = \left( {{\rm{1}}\;{\rm{year}}} \right)\left( {\frac{{{\rm{365}}\;{\rm{days}}}}{{{\rm{1}}\;{\rm{year}}}}} \right)\left( {\frac{{{\rm{24}}\;{\rm{hours}}}}{{{\rm{1}}\;{\rm{day}}}}} \right)\left( {\frac{{{\rm{60}}\;{\rm{min}}}}{{{\rm{1}}\;{\rm{hour}}}}} \right)\left( {\frac{{{\rm{60}}\;{\rm{s}}}}{{{\rm{1}}\;{\rm{min}}}}} \right)\\T \approx 3.15 \times {10^7}\;{\rm{s}}\end{aligned}\).

Thus, there are \(3.15 \times {10^7}\;{\rm{s}}\) in one year.

Step 3: Unit conversion from years to nanoseconds

Convert the unit of time from years to nanoseconds.

\(\begin{aligned}{l}T = \left( {{\rm{1}}\;{\rm{year}}} \right)\left( {\frac{{{\rm{365}}\;{\rm{days}}}}{{{\rm{1}}\;{\rm{year}}}}} \right)\left( {\frac{{{\rm{24}}\;{\rm{hours}}}}{{{\rm{1}}\;{\rm{day}}}}} \right)\left( {\frac{{{\rm{60}}\;{\rm{min}}}}{{{\rm{1}}\;{\rm{hour}}}}} \right)\left( {\frac{{{\rm{60}}\;{\rm{s}}}}{{{\rm{1}}\;{\rm{min}}}}} \right)\left( {\frac{{{\rm{1}}\;{\rm{ns}}}}{{{\rm{1}}{{\rm{0}}^{{\rm{ - 9}}}}\;{\rm{s}}}}} \right)\\T \approx 3.15 \times {10^{16}}\;{\rm{ns}}\end{aligned}\).

Thus, there are \(3.15 \times {10^{16}}\;{\rm{ns}}\) in one year.

Step 4: Unit conversion from seconds to years

Convert the unit of time from seconds to years.

\(\begin{aligned}{l}T = \left( {1\;{\rm{s}}} \right)\left( {\frac{{1\;\min }}{{60\;{\rm{s}}}}} \right)\left( {\frac{{{\rm{1}}\;{\rm{hour}}}}{{{\rm{60}}\;{\rm{min}}}}} \right)\left( {\frac{{{\rm{1}}\;{\rm{day}}}}{{{\rm{24}}\;{\rm{hours}}}}} \right)\left( {\frac{{{\rm{1}}\;{\rm{year}}}}{{{\rm{365}}\;{\rm{days}}}}} \right)\\T \approx 3.17 \times {10^{ - 8}}\;{\rm{years}}\end{aligned}\).

Thus, there are \(3.17 \times {10^{ - 8}}\;{\rm{years}}\) in one second.

Most popular questions for Physics Textbooks

The intensity of an earthquake wave passing through the Earth is measured to be \(3.0 \times 1{0^6}\;J/{m^2}\) at a distance of 54 km from the source. (a) What was its intensity when it passed a point only 1.0 km from the source? (b) At what rate did energy pass through an area of \(2.0\;{m^2}\)at 1.0 km?

Two earthquake waves of the same frequency travel through the same portion of the Earth, but one is carrying 5.0 times the energy. What is the ratio of the amplitudes of the two waves?

A string can have a “free” end if that end is attached to a ring that can slide without friction on a vertical pole (Fig. 11–60). Determine the wavelengths of the resonant vibrations of such a string with one end fixed and the other free.

Your grandfather clock’s pendulum has a length of 0.9930 m. If the clock runs slow and loses 21 s per day, how should you adjust the length of the pendulum?

A fisherman notices that wave crests pass the bow of his anchored boat every 3.0 s. He measures the distance between two crests to be 7.0 m. How fast are the waves traveling?
Icon

Want to see more solutions like these?

Sign up for free to discover our expert answers
Get Started - It’s free

Recommended explanations on Physics Textbooks

Work Energy and Power

Read explanation

Radiation

Read explanation

Astrophysics

Read explanation

Fluids

Read explanation

Physics of Motion

Read explanation

Famous Physicists

Read explanation

Torque and Rotational Motion

Read explanation

Fields in Physics

Read explanation

Scientific Method Physics

Read explanation

Magnetism

Read explanation

Particle Model of Matter

Read explanation

Physical Quantities and Units

Read explanation

Medical Physics

Read explanation

Further Mechanics and Thermal Physics

Read explanation

Energy Physics

Read explanation

Force

Read explanation

Waves Physics

Read explanation

Modern Physics

Read explanation

Atoms and Radioactivity

Read explanation

Dynamics

Read explanation

Electricity and Magnetism

Read explanation

Fundamentals of Physics

Read explanation

Kinematics Physics

Read explanation

Linear Momentum

Read explanation

Geometrical and Physical Optics

Read explanation

Rotational Dynamics

Read explanation

Electrostatics

Read explanation

Space Physics

Read explanation

Magnetism and Electromagnetic Induction

Read explanation

Electromagnetism

Read explanation

Conservation of Energy and Momentum

Read explanation

Turning Points in Physics

Read explanation

Measurements

Read explanation

Engineering Physics

Read explanation

Mechanics and Materials

Read explanation

Electricity

Read explanation

Nuclear Physics

Read explanation

Circular Motion and Gravitation

Read explanation

Oscillations

Read explanation

Translational Dynamics

Read explanation

Thermodynamics

Read explanation

Electric Charge Field and Potential

Read explanation

94% of StudySmarter users get better grades.

Sign up for free
94% of StudySmarter users get better grades.