Answered: You make a conical pendulum (Figure 1)…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

You make a conical pendulum (Figure 1) using a string of length 0.900 m and a bob of mass 0.350 kg. When the bob is moving in a circle at a constant speed, the string is at an angle of 10.0∘ from the vertical. What is the radius of the circle around which the bob moves? How much time does it take the bob to complete one circle? What is the tension in the string?

Expert Solution

Step 1

Given data:

The mass of the ball, $m = 0.350 kg$ .
The length of string, $l = 0.900 m$ .
The angle of string, $β = 10 °$ .

Calculate the radius of the circle as follows:

$\begin{array}{rcl} \sin β & = & \frac{R}{L} \\ \sin 10 ° & = & \frac{R}{0.900 m} \\ R & = & \sin 10 ° \times 0.900 m \\ = & 0.156 m \end{array}$

Hence, the radius of the circle is 0.156 m.

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