MYTUTOR SUBJECT ANSWERS

291 views

If the highest frequency a song is 10 kHz and it is encoded at 16 bits per sample what is the minimum number of bytes needed to encode the 3 minute song?

The key to this question is to remember the Nyquist rate of a signal. This is the lowest sample rate which can be used for a signal without losing valid frequencies or gaining incorrect frequencies. This is equal to twice the highest frequency.

Therefore the sample rate needs to be 20 kHz. Since there are 16 bits per sample the number of bits per second is 16 multiplied by 20 000 which is 320 000 bits per second.

To calculate the number of bits in 3 minutes we need to multiply 320 000 by the number of seconds in 3 minutes. Which gives:
320 000 x 3 x 60 = 57 600 000 bits 

Remember to divide by 8 to get it in bytes, since there are 8 bits in a byte. This finally gives:
57 600 000/8 = 7 200 000 bytes = 7.2 Megabytes

David  M. A Level Physics tutor, GCSE Physics tutor, A Level Maths tu...

10 months ago

Answered by David , an A Level Physics tutor with MyTutor


Still stuck? Get one-to-one help from a personally interviewed subject specialist

54 SUBJECT SPECIALISTS

£20 /hr

Noam T.

Degree: Mathematics with Mathematical Physics (Bachelors) - University College London University

Subjects offered: Physics, Maths

Physics
Maths

“About Myself: I am an undergraduate student at UCL studying Mathematics with Mathematical Physics. Hoping to go into research after my degree, I have a true passion for my subjects and my aim is to pass on that passion to students in ...”

£22 /hr

Samuel H.

Degree: Mathematics with International Study (Masters) - Exeter University

Subjects offered: Physics, Maths

Physics
Maths

“I have not only been able to teach AS Level students how to solve mechanics problems; I helped them understand the concepts behind the problems”

£22 /hr

Cordelia W.

Degree: Mathematical Science (Masters) - Durham University

Subjects offered: Physics, Maths+ 1 more

Physics
Maths
Further Mathematics

“I LOVE maths and believe I can pass on my love of the subject. I have been teaching maths and physics for years. I taught myself maths and physics, I helped my friends understand both subjects, I went on toteach a whole secondary scho...”

About the author

David M.

Currently unavailable: until 25/11/2016

Degree: Physics (Masters) - Warwick University

Subjects offered: Physics, Maths+ 2 more

Physics
Maths
Chemistry
.PAT.

“Background I am a second year physics student studying at the University of Warwick. I am passionate about helping people learn and allowing them to attain thehigh grades which they deserve. My love of science and mathematics will com...”

MyTutor guarantee

You may also like...

Posts by David

How do I show two lines are skew?

If the highest frequency a song is 10 kHz and it is encoded at 16 bits per sample what is the minimum number of bytes needed to encode the 3 minute song?

What is the De Broglie wavelength of an electron given it has a kinetic energy of 1 eV? You are given the mass of an electron is 9.11x10^-31 kg and Planck's constant is 6.63x10^-34

Other A Level Physics questions

Why does a single slit diffraction pattern occur?

A space probe of mass 1000kg, moving at 200m/s, explosively ejects a capsule of mass 300kg. The speed of the probe after the explosion is 250m/s. What is the velocity of the capsule?

Two railway trucks of masses m and 3m move towards each other in opposite directions with speeds 2v and v respectively. These trucks collide and stick together. What is the speed of the trucks after the collision?

What's the highest height a ball thrown straight up will reach?

View A Level Physics tutors

Cookies:

We use cookies to improve our service. By continuing to use this website, we'll assume that you're OK with this. Dismiss

mtw:mercury1:status:ok