Calculating Average Acceleration for a Slow, Level Turn

In summary, to calculate the average acceleration of an airplane executing a slow, level turn from west to east at a constant speed of 1000 km/h in 80 seconds, we use the equation average acceleration = change in velocity/time. After converting the speed to m/s and defining direction, we get an average acceleration of 6.94 m/s^2 to the east.
  • #1
aishax
13
0

Homework Statement



An airplane flying at a constant speed of 1000 km/h executes a slow, level turn that changes its direction from west to east. If the turn takes 80 s, calculate the plane's average acceleration.


Homework Equations



average acceleration = average velocity/time

The Attempt at a Solution



Its a simple question, but I can't seem to understand how to figure out the average velocity! Can someone please explain it to me? Any help is greatly appreciated :)
 
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  • #2
Average Acceleration = Change in velocity / time. Let's first convert 1000km/hour to m/s. The answer to that is 277.7 meters/second. Now, we'll define direction (east is positive, west negative). So after it makes the turn, it's velocity is +277.7 m/s. Before it makes the turn, it's velocity is going west, so it's -277.7 m/s. Now, vf - vi = 277.7 - (-277.7) = 555.55 m/s. Now we divide by the time which is 80 seconds to compute the acceleration which is 6.94 m/s^2 to the east.
 
  • #3
Very clear explination! Thanks for your help, lvslugger36 :)
 

1. What is acceleration?

Acceleration is a physical quantity that measures the rate of change of an object's velocity. It is defined as the change in velocity divided by the change in time.

2. How do you calculate acceleration?

Acceleration can be calculated by dividing the change in an object's velocity by the change in time. The formula is: a = (v2-v1)/t, where a is acceleration, v2 is the final velocity, v1 is the initial velocity, and t is the change in time.

3. What are the units of acceleration?

The units of acceleration are typically measured in meters per second squared (m/s^2) in the metric system, or feet per second squared (ft/s^2) in the imperial system.

4. How is acceleration different from velocity?

Velocity measures the rate of change of an object's displacement, while acceleration measures the rate of change of an object's velocity. In simpler terms, velocity tells you how fast an object is moving, while acceleration tells you how much an object's speed is changing.

5. How can acceleration be positive or negative?

Acceleration can be positive or negative depending on the direction of an object's motion. If an object is speeding up in the positive direction, its acceleration will be positive. If an object is slowing down in the positive direction, its acceleration will be negative. The opposite is true for motion in the negative direction.

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