Chapter 4: Q. 31 (page 107)

Peregrine falcons are known for their manoeuvring ability. In a BI0 tight circular turn, a falcon can attain a centripetal acceleration 1.5 times the free-fall acceleration. What is the radius of the turn if the falcon is flying at $25 m / s$ ?

Short Answer

Expert verified

The radius of the turn of the falcon is $42.51 m$ .

Step by step solution

Step 1. Given information

The falcon can attain a centripetal acceleration of $1.5$ times the free fall acceleration, the speed of the falcon is $25 m / s$ .

The acceleration of free fall of earth is $9.8 m / s^{2}$ .

Step 2. Explanation

The centripetal acceleration of the falcon is,

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

Here, $a_{c}$ is the centripetal acceleration of the falcon, $v$ is the liner speed of the falcon, and $r$ is the radius of turn.

Substitute $25 m / s$ for $v$ and $1.5 (9.8 m / s^{2})$ for $a_{c}$ in the above equation to find $r$ .

$(1.5 (9.8 m / s^{2})) = \frac{{(25 m / s)}^{2}}{r}$

$\begin{array}{l} r = 42.51 m \\ \approx 43 m \end{array}$

Thus, the radius of the turn of the falcon is $43 m$ .

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Peregrine falcons are known for their manoeuvring ability. In a BI0 tight circular turn, a falcon can attain a centripetal acceleration 1.5 times the free-fall acceleration. What is the radius of the turn if the falcon is flying at $25 m / s$ ?

Short Answer

Step by step solution

Step 1. Given information

Step 2. Explanation

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Peregrine falcons are known for their manoeuvring ability. In a BI0 tight circular turn, a falcon can attain a centripetal acceleration 1.5 times the free-fall acceleration. What is the radius of the turn if the falcon is flying at 25m/s?

Short Answer

Step by step solution

Step 1. Given information

Step 2. Explanation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Particle Model of Matter

Dynamics

Medical Physics

Linear Momentum

Fluids

Measurements

Study anywhere. Anytime. Across all devices.

Peregrine falcons are known for their manoeuvring ability. In a BI0 tight circular turn, a falcon can attain a centripetal acceleration 1.5 times the free-fall acceleration. What is the radius of the turn if the falcon is flying at $25 m / s$ ?