Chapter 5: Q2. (page 132)

A jet plane traveling $1890 km / s (525 m / s)$ pulls out of a dive by moving in an arc of radius 5.20 km. What is the plane’s acceleration in g’s?

Short Answer

Expert verified

The plane’s acceleration in g’s is $5.403 g' s$ .

Step by step solution

Step 1. Understanding the centripetal acceleration of the jet plane

The jet plane is travelling in an arc. Then the jet plane experiences a centripetal force.The centripetal acceleration of the jet plane depends on the jet plane's speed and the radius of an arc.

Step 2. Identification of given data

The given data can be listed below as,

Theradius of an arc is, $r = 5.20 km (\frac{1000 m}{1 km}) = 5200 m$ .

The speed of the jet plane is, $v = 525 m / s$ .
The acceleration due to gravity is, $g = 9.81 m / s^{2}$ .

Step 3. Determination of the centripetal acceleration of the jet plane

The centripetal acceleration can be expressed as,

$a_{c} = \frac{v^{2}}{r}$

Here, v is the speed of the jet plane, r is the radius of the merry-go-round.

Substitute the values in the above equation.

$\begin{matrix} a_{c} = \frac{{(525 m / s)}^{2}}{5200 m} \\ = 53 m / s^{2} (\frac{1 g}{9.81 m / s^{2}}) \\ = 5.403 g' s \end{matrix}$

Thus, the centripetal acceleration of the jet plane is $5.403 g' s$ .

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A jet plane traveling $1890 km / s (525 m / s)$ pulls out of a dive by moving in an arc of radius 5.20 km. What is the plane’s acceleration in g’s?

Short Answer

Step by step solution

Step 1. Understanding the centripetal acceleration of the jet plane

Step 2. Identification of given data

Step 3. Determination of the centripetal acceleration of the jet plane

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A jet plane traveling1890km/s525m/spulls out of a dive by moving in an arc of radius 5.20 km. What is the plane’s acceleration in g’s?

Short Answer

Step by step solution

Step 1. Understanding the centripetal acceleration of the jet plane

Step 2. Identification of given data

Step 3. Determination of the centripetal acceleration of the jet plane

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Fundamentals of Physics

Further Mechanics and Thermal Physics

Turning Points in Physics

Oscillations

Rotational Dynamics

Magnetism and Electromagnetic Induction

Study anywhere. Anytime. Across all devices.

A jet plane traveling $1890 km / s (525 m / s)$ pulls out of a dive by moving in an arc of radius 5.20 km. What is the plane’s acceleration in g’s?