Consider a level flight turn of a propeller-driven airplane. It can make a complete circular turnin 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.

Answered: Consider a level flight turn of a…

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter4: Motion In Two And Three Dimensions

Section: Chapter Questions

Problem 97AP: A geosynchronous satellite orbits Earth at a distance of 42,250.O km and has a period of 1 day. What...

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Question

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.

$d = (147 \frac{m}{s}) \times (3 m i n) (\frac{60 s}{1 m i n}) = 26460 m$

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,

$2 π r = 26460 m$

Thus, solve for the radius of the circular turn.

$r = \frac{26460 m}{2 π} = 4211.239794 m$

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