Chapter 13: Q. 18 (page 712)

Earth rotates on its axis once every 24 hours.
How long does it take Earth to rotate through an angle of $\frac{π}{6}$ ?

Short Answer

Expert verified

The time taken by Earth to rotate through an angle of $\frac{π}{6}$ is 2 hours.

Step by step solution

Step 1. Given information.

Given, Earth rotates on its axis once every 24 hours.

The time taken by Earth to rotate through an angle of $\frac{π}{6}$ is to be determined.

Step 2. Explanation.

Each rotation is $2 π$ .

Since $2 π$ takes 24 hours, the required time for $\frac{π}{6}$ is given by:

$\begin{array}{l} \frac{2 π}{24} = \frac{\frac{π}{6}}{x} \\ \frac{2 π}{24} = \frac{π}{6 x} \\ x = 2 \end{array}$

Step 3. Conclusion.

Hence the time taken by Earth to rotate through an angle of $\frac{π}{6}$ is 2 hours.

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Earth rotates on its axis once every 24 hours.
How long does it take Earth to rotate through an angle of $\frac{π}{6}$ ?

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Explanation.

Step 3. Conclusion.

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Earth rotates on its axis once every 24 hours.How long does it take Earth to rotate through an angle of π6?

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Explanation.

Step 3. Conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

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Calculus

Study anywhere. Anytime. Across all devices.

Earth rotates on its axis once every 24 hours.
How long does it take Earth to rotate through an angle of $\frac{π}{6}$ ?