Answered: 5. (a) How far must a zonal ring of air… | bartleby

Linear Algebra: A Modern Introduction

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter1: Vectors

Section1.4: Applications

Problem 9EQ

See similar textbooks

Related questions

Question

5. (a) How far must a zonal ring of air initially at rest with respect to the earth's
surface at 60⁰ latitude and 100-km height be displaced latitudinally in order to
acquire an easterly (east to west) component of 10 m s-¹ with respect to the
Earth's surface?
(b) To what height must it be displaced vertically in order to acquire the same
velocity? [You may assume a frictionless atmosphere, and that the changes in
y and z are small. [Holton 4.14]
HINTS: Use the equation of motion for du/dt and multiply through by dt; or, using
the arguments of HH5 Sec:1.3.3 (or H4 Sec:1.5.3), conserve angular momentum
rx mu where m is the (conserved) mass of air in the ring.

Expert Solution

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Blurred answer

Similar questions

A stamped sheet steel plate is shown in Figure 164. Compute dimensions AF to 3 decimal places. All dimensions are in inches. A=_B=_C=_D=_E=_F=_
A sodium ion (Na+) moves in the xy-plane with a speed of 2.90 ✕ 103 m/s. If a constant magnetic field is directed along the z-axis with a magnitude of 3.25 ✕ 10−5 T, find the magnitude of the magnetic force acting on the ion and the magnitude of the ion's acceleration. HINT (a) the magnitude (in N) of the magnetic force acting on the ion N (b) the magnitude (in m/s2) of the ion's acceleration m/s2
Steam is rushing from a boiler through a conical pipe, the diameters of the ends of which are D and d; if V and v be the corresponding velocities of the steam and if the motion be supposed to be that of divergence from the vertex of the cone,
EXERCISE 2.2 An automobile follows a circular road whose radius is 50 m. Let x and y respectively denote the eastern and northern directions, with origin at the center of the circle. Suppose the vehicle starts from rest at x = 50 m heading north, and its speed depends on the distance s it travels according to v=0.5s-0.0025s², where s is measured in meters and v is in meters per second. It is known that the tires will begin to skid when the total acceleration of the vehicle is 0.6g. Where will the automobile be and how fast will it be going when it begins to skid? Describe the position in terms of the angle of the radial line relative to the x axis.
An electric dipole consists of charges +2e and -2e separated by 0.67 nm. It is in an electric field of strength 3.9 × 106 N/C. Calculate the magnitude of the torque on the dipole when the dipole moment is (a) parallel to, (b) perpendicular to, and (c) antiparallel to the electric field.
The figure shows wire 1 in cross section; the wire is long and straight, carries a current of 4.00 mA out of the page, and is at distance d1 = 2.68 cm from a surface. Wire 2, which is parallel to wire 1 and also long, is at horizontal distance d2 = 5.12 cm from wire 1 and carries a current of 7.12 mA into the page. What is thex component of the magnetic force per unit length on wire 2 due to wire 1? Number i 8.74 Units N/m
2. A horizontal curve on a two-lane highway (10ft lanes) is designed for 50mi/h with a 6% superelevation. The central angle of the curve is 35 degrees and the PI is at station 482+72. What is the station of the PT and how many feet have to be cleared from the lane's shoulder edge to provide adequate stopping sight distance?
Consider a tall building located on the Earth's equator. As the Earth rotates, a person on the top floor of the building moves faster than someone on the ground with respect to an inertial reference frame because the person on the ground is closer to the Earth's axis. Consequently, if an object is dropped from the top floor to the ground a distance h below, it lands east of the point vertically below where it was dropped. (a) How far to the east will the object land? Express your answer in terms of h, g, and the angular speed w of the Earth. Ignore air resistance and assume the free-fall acceleration is constant over this range of heights. Ax = (b) Evaluate the eastward displacement (in cm) for h = 52.0 m. cm (c) In your judgment, were we justified in ignoring this aspect of the Coriolis effect in our previous study of free fall? O Yes No (d) Suppose the angular speed of the Earth were to decrease with constant angular acceleration due to tidal friction. Would the eastward displacement…
Kepler's Third Law states that the ratio T/a³/2 is equal to a con- stant C for all planetary orbits around the sun, where T is the period (time for a complete orbit) and a is the semimajor axis. (a) Compute C in units of days and kilometers, given that the semi- major axis of the earth's orbit is 150 x 106 km. (b) Compute the period of Saturn's orbit, given that its semimajor axis is approximately 1.43 × 10º km.
11. An airplane heading 300 km/h [N45°W] encounters a wind of 70 km/h [S5°E]. Determine the resultant ground velocity of the plane. Ans:

Recommended textbooks for you

Linear Algebra: A Modern Introduction

Linear Algebra: A Modern Introduction

Algebra

ISBN:

9781285463247

Author:

David Poole

Publisher:

Cengage Learning

Mathematics For Machine Technology

Mathematics For Machine Technology

Advanced Math

ISBN:

9781337798310

Author:

Peterson, John.

Publisher:

Cengage Learning,

Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

Algebra

ISBN:

9781133382119

Author:

Swokowski

Publisher:

Cengage

Linear Algebra: A Modern Introduction

Linear Algebra: A Modern Introduction

Algebra

ISBN:

9781285463247

Author:

David Poole

Publisher:

Cengage Learning

Mathematics For Machine Technology

Mathematics For Machine Technology

Advanced Math

ISBN:

9781337798310

Author:

Peterson, John.

Publisher:

Cengage Learning,

Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

Algebra

ISBN:

9781133382119

Author:

Swokowski

Publisher:

Cengage

SEE MORE TEXTBOOKS