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crimeas [40]
3 years ago
7

How do you calculate the fundamental frequency of a pipe?

Physics
1 answer:
ankoles [38]3 years ago
5 0

This depends on whether the pipe is closed or open ended.

The fundamental frequency of a pipe is the simplest, smallest portion of a wave that can fit into a pipe. At the open end of a pipe, there is always an antinode - an area with maximum air movement.

If it is an open ended pipe, there is an antinode at each end, meaning that the length of the pipe is equal to 1/2 <span>λ </span>. Manipulating the formula <span><span>v=fλ</span> </span> to solve for the fundamental frequency leaves us with <span><span>f=<span>v/<span>2L</span></span></span> </span> in an open ended pipe.

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So that will be the velocity in the y direction only. But we're given the angle at which the ball is hit (3° to the horizontal). So to find the velocity (sum of the velocity in x and y direction on impact) we can use: sin 3° = opposite/hypotenuse = (velocity in y direction only) / (velocity) So rearranging, velocity = (velocity in y direction only) / sin 3° = √(2gh)/sin 3° = (√(2 x 9.8 x 0.33)) / sin 3° = 49 m/s at 3° to the horizontal (2 sig figs)
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Fittoniya [83]

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madam [21]

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