Consider a level flight turn of a propeller-driven airplane. It can make a complete circular turn in 3.0 minutes. If the plane's speed is 147 m/s, find the centripetal acceleration of the plane. Found the final answer to 1 decimal place.

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11th Edition
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Consider a level flight turn of a propeller-driven airplane. It can make a complete circular turn
in 3.0 minutes. If the plane's speed is 147 m/s, find the centripetal acceleration of the plane.
Found the final answer to 1 decimal place.
Transcribed Image Text:Consider a level flight turn of a propeller-driven airplane. It can make a complete circular turn in 3.0 minutes. If the plane's speed is 147 m/s, find the centripetal acceleration of the plane. Found the final answer to 1 decimal place.
Expert Solution
Step 1

The speed of the plane is given as 147 m/s. Time taken to complete the circular turn is 3 minutes. So, calculate the distance travelled by the plane in 3 minutes while moving at a speed of 147 m/s.

distance = speed * time

Put the known values and solve.

d=147 ms×3 min60 s1 min=26460 m

Now, as the plane completes a circular turn in 3 min. So, the distance 26460 m is equal to the distance covered in circular turn i.e. circumference of the circle. Thus,

2πr=26460 m

Thus, solve for the radius of the circular turn.

r=26460 m2π=4211.239794 m

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