A musician is looking to digitise a song from their record collection and is trying to establish how much space the sound file will take up on a portable hard drive. For recording the sound file, they are looking to use a sampling rate of 44 kHz with each sample being 4 bytes, initially on a single channel (mono). How many bits per second are processed while the music is being recorded? Express your answer in scientific notation to 3 significant figures.
Question
A musician is looking to digitise a song from their record collection and is trying to establish how much space the sound file will take up on a portable hard drive. For recording the sound file, they are looking to use a sampling rate of 44 kHz with each sample being 4 bytes, initially on a single channel (mono). How many bits per second are processed while the music is being recorded? Express your answer in scientific notation to 3 significant figures.
Solution
To calculate the number of bits processed per second, we need to multiply the sampling rate by the size of each sample and the number of channels.
- The sampling rate is 44 kHz or 44,000 samples per second.
- Each sample is 4 bytes. Since 1 byte is equal to 8 bits, each sample is 4 * 8 = 32 bits.
- The recording is in mono, which means it's a single channel.
So, the calculation is:
44,000 samples/second * 32 bits/sample * 1 channel = 1,408,000 bits/second
In scientific notation to 3 significant figures, this is 1.41 x 10^6 bits/second.
Similar Questions
A typical sampling rate is 44.1 kHz and there are typically 16 bits in each sample. How many bits per second are processed? Express your answer in scientific notation.
Calculate how much storage space is needed to record a 32- bit, 3 khz, stereo music for a duration of 1 hour. (Give in bytes: put the value without symbol)
The piece of music is 6 minutes and 20 seconds long. How many bits are processed in total? Express your answer in scientific notation to 3 significant figures.
What is the percentage increase in the number of bits processed as a result of increasing the sampling rate from 44 kHz to 128 kHz? Express your answer to the nearest percent.
In digital audio, ----------------- describes the number of bits of information recorded for each sample.
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