What is the average acceleration the aircraft will have due to earth's curvature only in order to maintain constant altitude? b. What is the average acceleration due to the earth's curvature and earth's rotation around combined in order to maintain constant altitude? a.
What is the average acceleration the aircraft will have due to earth's curvature only in order to maintain constant altitude? b. What is the average acceleration due to the earth's curvature and earth's rotation around combined in order to maintain constant altitude? a.
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Question
![Q1. Newton's second law is valid for an observer attached at the inertial frame. Usually, we make the
approximation in using Newton's law calculating accelerations with respect to an observer on earth.
Although -strictly speaking, this is wrong- the error made is often negligible. But how much of an
error do we really make in using these assumptions? Are they really negligible? The questions below
will help you find the answer.
Assume an aircraft flying from Istanbul straight south to Cape Town, South Africa at a constant speed
of 800 km/h. (Fig.1)
a. What is the average acceleration the aircraft will have due to earth's curvature only in order
to maintain constant altitude?
b. What is the average acceleration due to the earth's curvature and earth's rotation around
combined in order to maintain constant altitude?
(Assume perfect sphere, neglect rotation around sun)
Hint: You may calculate the acceleration by attaching a coordinate system at the airplane
(Tangential and normal coordinates).
Istanbul
Cape Town
Fig.1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4682b7f2-fc0f-450c-8dbd-660db15ef98a%2Fd6d9ad1d-0ce2-4f94-88da-2d7a2f0331c4%2Faidx3f4_processed.png&w=3840&q=75)
Transcribed Image Text:Q1. Newton's second law is valid for an observer attached at the inertial frame. Usually, we make the
approximation in using Newton's law calculating accelerations with respect to an observer on earth.
Although -strictly speaking, this is wrong- the error made is often negligible. But how much of an
error do we really make in using these assumptions? Are they really negligible? The questions below
will help you find the answer.
Assume an aircraft flying from Istanbul straight south to Cape Town, South Africa at a constant speed
of 800 km/h. (Fig.1)
a. What is the average acceleration the aircraft will have due to earth's curvature only in order
to maintain constant altitude?
b. What is the average acceleration due to the earth's curvature and earth's rotation around
combined in order to maintain constant altitude?
(Assume perfect sphere, neglect rotation around sun)
Hint: You may calculate the acceleration by attaching a coordinate system at the airplane
(Tangential and normal coordinates).
Istanbul
Cape Town
Fig.1
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