Question

Вычислите сколько байтов занимает на CD одна минута стереозаписи(частота дискретизации 44000 разрядность-16 битов). Какова максимальная продолжительность стереозаписи на диске ёмкостью 700 Мбайт? Подскажите решение.

Answer 1

Частота·разрядность·время(60 сек.)=44000·16·60=42240000 бит(разделить на 8)=5280000 байт(разделить на 1024)=5156,25 кб=5мб
время=объём/(частота*разрядность)  700мб=734003200байт 16бит=2байт
=734003200/(44000*2)=734003200/88000=8340,94сек=139мин.

Answer 2

Calculation of the Size of One Minute of Stereo Recording on a CD

To calculate the size of one minute of stereo recording on a CD, we need to consider the sampling rate and bit depth.

The given information states that the sampling rate is 44,000 Hz and the bit depth is 16 bits.

To calculate the size, we can use the following formula:

Size = (Sampling Rate) × (Bit Depth) × (Number of Channels) × (Duration)

In this case, since it is stereo recording, the number of channels is 2.

Let's calculate the size:

Size = (44,000 Hz) × (16 bits) × (2 channels) × (60 seconds)

Size = 44,000 × 16 × 2 × 60 bits

Size = 84,480,000 bits

To convert the size to bytes, we divide by 8:

Size = 84,480,000 bits ÷ 8

Size = 10,560,000 bytes

Therefore, one minute of stereo recording on a CD with a sampling rate of 44,000 Hz and a bit depth of 16 bits occupies approximately 10,560,000 bytes.

Maximum Duration of Stereo Recording on a 700 MB CD

To calculate the maximum duration of stereo recording on a CD with a capacity of 700 MB, we need to convert the capacity to bytes.

1 MB is equal to 1,048,576 bytes.

Therefore, the CD capacity in bytes is:

CD Capacity = 700 MB × 1,048,576 bytes/MB

CD Capacity = 734,003,200 bytes

Now, we can calculate the maximum duration:

Maximum Duration = CD Capacity ÷ Size of One Minute of Stereo Recording

Maximum Duration = 734,003,200 bytes ÷ 10,560,000 bytes

Maximum Duration ≈ 69.5 minutes

Therefore, the maximum duration of stereo recording on a CD with a capacity of 700 MB is approximately 69.5 minutes.

I hope this helps! Let me know if you have any further questions.