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. 38
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Vural
Profesyonel · 6 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 change in time.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:
Finally, convert the acceleration to g units (where 1 g ≈ 9.81 m/s²):
Therefore, the correct answer is not listed among the options provided. However, based on the closest value, the correct answer should be approximately 7.21 g units.