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Q. 57

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Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
Found in: Page 486

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Short Answer

A 25-cm-long wire with a linear density of 20 g/m passes across the open end of an 85-cm-long open-closed tube of air. If the wire, which is fixed at both ends, vibrates at its fundamental frequency, the sound wave it generates excites the second vibrational mode of the tube of air. What is the tension in the wire? Assume vsound = 340 m/s.

The tension in the wire is 450N

See the step by step solution

Step by Step Solution

Step 1: The concept of the tension in the wire

The force that is transmitted in a cable, rope, wire, or in string the forces acts as a tethering element and works on the opposite ends of the elements.

Step 2: The explanation of the numerical differences in the tension that develops in the wire 

the frequency could be expressed by generating the string by receiving the open-close tube that contains air. Here, the wire will be denoted as w and the tube is t. Thus, the value is

Therefore, the speed is

The expression of the tension is

From the first equation, the speed of the sound that existed in the wire is

The known numerical value will be

The known numerical value will be

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