Question

If the maximum amplitude you want your speakers to have is 1cm and you are going to replace your 30cm woofer with 6cm woofer(s) how many would you need?

A) 1
B) 2
C) 3
D) 5

Answer 1

The question asks how many 6cm woofers are needed to replace a 30cm woofer to achieve the same maximum amplitude of 1cm (A). The key concept here is that the total surface area of the smaller woofers must be equal to or greater than the surface area of the larger woofer because the surface area affects the amplitude of the sound. We would compare the surface areas to determine the number of woofers needed.

Step-by-step explanation:

The question is asking to determine the number of 6cm woofers required to match the maximum amplitude of sound produced by a larger 30cm woofer, assuming both have the same capacity to move air and that the maximum amplitude is 1cm. When replacing speakers, especially woofers which are responsible for low-frequency sounds, it is crucial to maintain the same amplitude to keep the sound experience consistent. Now, let's understand that the area of a speaker surface greatly affects the amplitude of the sound it produces. A simple interpretation is that larger woofers displace more air and thus produce a higher amplitude.

Given that the amplitude is directly proportional to the surface area, we need to ensure that the total surface area of the smaller woofers is equal to or greater than that of the larger woofer. To find the number of 6cm woofers needed, we would calculate the surface area of both sizes of woofers and find the ratio.