Answered: The satellite S travels around the…

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Question

The satellite S travels around the earth in a circular path with a constant speed of 18 Mm/h. The acceleration is 2 m/s^2. Assume the earth's diameter to be 12 713 km. (Figure 1)

A) Determine the altitude h

Express your answer to three significant figures and include the appropriate units.

Expert Solution

Step 1

$ν = 18 M m / h = \frac{18 \times 10^{6}}{3600} = 5000 m / s$

Since,

$a_{t} = \frac{d v}{d t} = 0$

$a_{t} = \frac{V^{2}}{ρ}$

$ρ = \frac{v^{2}}{a_{t}} = \frac{5000^{2}}{2} = 12.5 \times 10^{6} m = 12500 k m$

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