Soru
An aircraft makes a horizontal circular turn. The air craft enters the turn with velocity of v=300i+400j 10 seconds later it leaves the turn with velocity of v=400i-300j Determine the acceleration of the aircraft in g units. Select one: a. 48 b. 18 c. 88 d. 28 e. 3g
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4.6
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Zeki
Kıdemli · 11 yıl öğretmeni
Uzman doğrulaması
Cevap
To determine the acceleration of the aircraft, we need to calculate the change in velocity over time. The acceleration vector is given by:
where
is the change in velocity and
is the time interval.Given:Initial velocity,
Final velocity,
Time interval,
secondsFirst, calculate the change in velocity:
Next, calculate the magnitude of the change in velocity:
Now, calculate the magnitude of the acceleration:
To express this in g units, we need to convert it to gravitational acceleration units. Since 1 g is approximately 9.81 m/s², we have:
Therefore, the acceleration of the aircraft in g units is approximately 22.7g. However, none of the given options match this result. Please check the provided options or the problem statement for any errors.