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

The air temperature and the velocity of the air have different values at different places in the earth’s atmosphere. Is theair velocity a vector field? Why or why not?Is the air temperature a vector field? Again,why or why not?

Short Answer

Expert verified

The air velocity is a vector field but the air temperature is not a vector field.

Step by step solution

01

Definition of the vector field

A vector field is a subset of space in which each point is assigned a vector.

A vector field inside the plane, for example, might be represented as a set of arrows, each with a certain speed and phase, each tied to a selected spot in the plane.

02

Describe the air velocity is a vector field

The field is having a value and a direction and these value and direction could differ at many points of space.

Is the air velocity have a value and a direction?

The answer is yes.

The air velocity must have a distinct direction at some point in Earth's atmosphere and another distinct direction at another point. And the air velocity value (speed) differs at any point in Earth's atmosphere as well.

Hence, the air velocity is a vector field.

03

Describe the air temperature is a vector field

Is air temperature have value and direction?

The answer is yes.

It has a value but it hasn't a direction. Air temperature is a scalar quantity.

Therefore, no, air temperature is not avectorfield.

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.

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

Could an accelerator be built in which all the forces on the particles, for steering and for increasing speed, are magnetic forces? Why or why not?

We have seen that a coulomb is an enormous amount of charge; it is virtually impossible to place a charge of 1 C on an object. Yet, a current of 10A,10C/sis quite reasonable. Explain this apparent discrepancy.

In the circuit in Fig. E25.47, find (a) the rate of conversion of internal (chemical) energy to electrical energy within the battery; (b) the rate of dissipation of electrical energy in the battery; (c) the rate of dissipation of electrical energy in the external resistor.

The heating element of an electric dryer is rated at 4.1 kW when connected to a 240-V line. (a) What is the current in the heating element? Is 12-gauge wire large enough to supply this current? (b) What is the resistance of the dryer’s heating element at its operating temperature? (c) At 11 cents per kWh, how much does it cost per hour to operate the dryer?

Cyclotrons are widely used in nuclear medicine for producing short-lived radioactive isotopes. These cyclotrons typically accelerate H-(the hydride ion, which has one proton and two electrons) to an energy of 5MeVto20MeV.This ion has a mass very close to that of a proton because the electron mass is negligible about 12000of the proton’s mass. A typical magnetic field in such cyclotrons is 1.9T..(a) What is the speed of a 5.0-MeVH-? (b) If the H-has energy 5.0MeVandB=1.9T what is the radius of this ion’s circulator orbit?

See all solutions

Recommended explanations on Physics Textbooks

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