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 ing units. Select one: a. 48 b. 18 c. 88 d. 28 e. 3g
Çözüm
4.5
(159 Oylar)
Tansu
Usta · 5 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 acceleration vector,-
is the change in velocity vector,-
is the change in time.Given:- Initial velocity
,- Final velocity
,- Time interval
seconds.First, 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 a more familiar unit (m/s²), we can approximate
:
Therefore, the correct answer is not listed among the provided options. The calculated acceleration is approximately
.