Sounds of Music C

Test your knowledge of various Science Olympiad events.
UTF-8 U+6211 U+662F
Exalted Member
Exalted Member
Posts: 1597
Joined: January 18th, 2015, 7:42 am
Division: C
State: PA
Has thanked: 6 times
Been thanked: 15 times

Re: Sounds of Music C

Post by UTF-8 U+6211 U+662F »

nobodynobody wrote: October 15th, 2020, 5:29 am Hello, sorry for being late!

Consider a massless pendulum with a length of 1.29 meters and a mass of 40.3 kg.

a) What is the period of the pendulum on earth (acceleration of 9.8)?
b) What is the period of the pendulum on the moon (acceleration of 1.62)?
c) If the string suspending the mass had a mass of 10.0kg, what is the new period(on earth)?
d) If the mass was removed (from question c), what is the new period of the pendulum, if it were on the moon?
Not really sure what this has to do with Sounds, but
a) 
b) 
c) 2.28 s
d) 5.61 s
nobodynobody
Member
Member
Posts: 37
Joined: January 8th, 2020, 5:41 pm
Division: C
State: OH
Pronouns: He/Him/His
Has thanked: 9 times
Been thanked: 7 times

Re: Sounds of Music C

Post by nobodynobody »

UTF-8 U+6211 U+662F wrote: October 15th, 2020, 6:09 pm
nobodynobody wrote: October 15th, 2020, 5:29 am Hello, sorry for being late!

Consider a massless pendulum with a length of 1.29 meters and a mass of 40.3 kg.

a) What is the period of the pendulum on earth (acceleration of 9.8)?
b) What is the period of the pendulum on the moon (acceleration of 1.62)?
c) If the string suspending the mass had a mass of 10.0kg, what is the new period(on earth)?
d) If the mass was removed (from question c), what is the new period of the pendulum, if it were on the moon?
Not really sure what this has to do with Sounds, but
a) 
b) 
c) 2.28 s
d) 5.61 s
I have seen this type of stuff on tests (including 2019 nats) probably because it is simple harmonic motion. Your a and b are correct. C and D aren't because the period of the pendulum actually changes if the string has mass, I should specify that the string is uniform and rigid.
These users thanked the author nobodynobody for the post:
gz839918 (October 20th, 2020, 10:31 am)
Class of '23
2021 events: Astro, Digi, SOM, WICI

"No." - Marie Curie
UTF-8 U+6211 U+662F
Exalted Member
Exalted Member
Posts: 1597
Joined: January 18th, 2015, 7:42 am
Division: C
State: PA
Has thanked: 6 times
Been thanked: 15 times

Re: Sounds of Music C

Post by UTF-8 U+6211 U+662F »

nobodynobody wrote: October 16th, 2020, 5:43 am
UTF-8 U+6211 U+662F wrote: October 15th, 2020, 6:09 pm
nobodynobody wrote: October 15th, 2020, 5:29 am Hello, sorry for being late!

Consider a massless pendulum with a length of 1.29 meters and a mass of 40.3 kg.

a) What is the period of the pendulum on earth (acceleration of 9.8)?
b) What is the period of the pendulum on the moon (acceleration of 1.62)?
c) If the string suspending the mass had a mass of 10.0kg, what is the new period(on earth)?
d) If the mass was removed (from question c), what is the new period of the pendulum, if it were on the moon?
Not really sure what this has to do with Sounds, but
a) 
b) 
c) 2.28 s
d) 5.61 s
I have seen this type of stuff on tests (including 2019 nats) probably because it is simple harmonic motion. Your a and b are correct. C and D aren't because the period of the pendulum actually changes if the string has mass, I should specify that the string is uniform and rigid.
Oh, the string has mass, I read that wrong
c) 
d) 
Last edited by UTF-8 U+6211 U+662F on October 16th, 2020, 12:22 pm, edited 1 time in total.
nobodynobody
Member
Member
Posts: 37
Joined: January 8th, 2020, 5:41 pm
Division: C
State: OH
Pronouns: He/Him/His
Has thanked: 9 times
Been thanked: 7 times

Re: Sounds of Music C

Post by nobodynobody »

UTF-8 U+6211 U+662F wrote: October 16th, 2020, 12:21 pm
nobodynobody wrote: October 16th, 2020, 5:43 am
UTF-8 U+6211 U+662F wrote: October 15th, 2020, 6:09 pm

Not really sure what this has to do with Sounds, but
a) 
b) 
c) 2.28 s
d) 5.61 s
I have seen this type of stuff on tests (including 2019 nats) probably because it is simple harmonic motion. Your a and b are correct. C and D aren't because the period of the pendulum actually changes if the string has mass, I should specify that the string is uniform and rigid.
Oh, the string has mass, I read that wrong
c) 
d) 
Correct, Your turn!
Class of '23
2021 events: Astro, Digi, SOM, WICI

"No." - Marie Curie
UTF-8 U+6211 U+662F
Exalted Member
Exalted Member
Posts: 1597
Joined: January 18th, 2015, 7:42 am
Division: C
State: PA
Has thanked: 6 times
Been thanked: 15 times

Re: Sounds of Music C

Post by UTF-8 U+6211 U+662F »

Define equal tempered. What is the difference between 12TET and 24TET (12-tone equal tempered and 24-tone equal tempered)?
smayya337
Member
Member
Posts: 121
Joined: November 2nd, 2017, 5:15 pm
Division: Grad
State: VA
Pronouns: He/Him/His
Has thanked: 27 times
Been thanked: 32 times
Contact:

Re: Sounds of Music C

Post by smayya337 »

UTF-8 U+6211 U+662F wrote: October 16th, 2020, 1:41 pm Define equal tempered. What is the difference between 12TET and 24TET (12-tone equal tempered and 24-tone equal tempered)?
Equal tempered means that there is a constant ratio between successive notes' frequencies. The difference between 12TET and 24TET is that there are twelve notes in an octave in 12TET, while there are 24 notes in an octave in 24TET.
Last edited by smayya337 on October 26th, 2020, 9:02 am, edited 1 time in total.
TJHSST '22 | UVA '26
smayya337's Userpage
UTF-8 U+6211 U+662F
Exalted Member
Exalted Member
Posts: 1597
Joined: January 18th, 2015, 7:42 am
Division: C
State: PA
Has thanked: 6 times
Been thanked: 15 times

Re: Sounds of Music C

Post by UTF-8 U+6211 U+662F »

smayya337 wrote: October 26th, 2020, 9:01 am
UTF-8 U+6211 U+662F wrote: October 16th, 2020, 1:41 pm Define equal tempered. What is the difference between 12TET and 24TET (12-tone equal tempered and 24-tone equal tempered)?
Equal tempered means that there is a constant ratio between successive notes' frequencies. The difference between 12TET and 24TET is that there are twelve notes in an octave in 12TET, while there are 24 notes in an octave in 24TET.
Yep! Your turn.
smayya337
Member
Member
Posts: 121
Joined: November 2nd, 2017, 5:15 pm
Division: Grad
State: VA
Pronouns: He/Him/His
Has thanked: 27 times
Been thanked: 32 times
Contact:

Re: Sounds of Music C

Post by smayya337 »

UTF reminded me earlier today that I hadn't written a question, so I'm back. Sorry! I can't think of many good questions, so I'll just use this one:

What is the ratio of the length of my Bb soprano clarinet (lowest note: concert D3) to that of my sister's Eb alto saxophone (lowest note: concert Db3)? (Assume the instruments abide by equal temperament with concert A4 = 440 Hz, that the speed of sound is 343 m/s, and that my sister somehow got her hands on a straight alto saxophone.) Provide three sig figs.
TJHSST '22 | UVA '26
smayya337's Userpage
UTF-8 U+6211 U+662F
Exalted Member
Exalted Member
Posts: 1597
Joined: January 18th, 2015, 7:42 am
Division: C
State: PA
Has thanked: 6 times
Been thanked: 15 times

Re: Sounds of Music C

Post by UTF-8 U+6211 U+662F »

smayya337 wrote: November 17th, 2020, 5:39 pm UTF reminded me earlier today that I hadn't written a question, so I'm back. Sorry! I can't think of many good questions, so I'll just use this one:

What is the ratio of the length of my Bb soprano clarinet (lowest note: concert D3) to that of my sister's Eb alto saxophone (lowest note: concert Db3)? (Assume the instruments abide by equal temperament with concert A4 = 440 Hz, that the speed of sound is 343 m/s, and that my sister somehow got her hands on a straight alto saxophone.) Provide three sig figs.
Really guessing but: 138.6 / 146.8 = 0.944?
smayya337
Member
Member
Posts: 121
Joined: November 2nd, 2017, 5:15 pm
Division: Grad
State: VA
Pronouns: He/Him/His
Has thanked: 27 times
Been thanked: 32 times
Contact:

Re: Sounds of Music C

Post by smayya337 »

UTF-8 U+6211 U+662F wrote: November 17th, 2020, 8:39 pm
smayya337 wrote: November 17th, 2020, 5:39 pm UTF reminded me earlier today that I hadn't written a question, so I'm back. Sorry! I can't think of many good questions, so I'll just use this one:

What is the ratio of the length of my Bb soprano clarinet (lowest note: concert D3) to that of my sister's Eb alto saxophone (lowest note: concert Db3)? (Assume the instruments abide by equal temperament with concert A4 = 440 Hz, that the speed of sound is 343 m/s, and that my sister somehow got her hands on a straight alto saxophone.) Provide three sig figs.
Really guessing but: 138.6 / 146.8 = 0.944?
Not quite... Here's what I did:
We know that  for a conical woodwind (like a sax) and  for a stopped cylinder (like a clarinet). Substituting the appropriate frequencies gives  for the clarinet and  for the sax. Dividing those two values gives a ratio of 0.472.
Hopefully my logic isn't too flawed, I'm still kind of rusty. Your turn!
TJHSST '22 | UVA '26
smayya337's Userpage
Locked

Return to “2021 Question Marathons”

Who is online

Users browsing this forum: No registered users and 0 guests