Machines B/C

Test your knowledge of various Science Olympiad events.
broeknharted
Member
Member
Posts: 1
Joined: January 1st, 2020, 7:12 pm
Has thanked: 0
Been thanked: 0

Re: Machines B/C

Post by broeknharted »

MA of lever = d1/d2= 500/30 = 16.666666666666-> so about 16.67
User avatar
imaditi
Member
Member
Posts: 44
Joined: August 4th, 2019, 8:47 am
Division: C
State: FL
Has thanked: 138 times
Been thanked: 58 times
Contact:

Re: Machines B/C

Post by imaditi »

Since no one has gone in a while here is another question.

A simple machine with an ideal mechanical advantage of (a) is placed in series with another simple machine with an ideal mechanical advantage of (a-1), which is placed in series with other simple machines with an ideal mechanical advantage of (a-2), and so on, until the whole system is placed in series with a simple machine with an ideal mechanical advantage of 1. What is the ideal mechanical advantage of the resulting compound machine in terms of (a)?
Orlando Science High School '23

imaditi's userpage
2017: Optics, Wind Power, Anatomy
2018: Optics, Rocks & Minerals, Battery Buggy
2019: Game On, Battery Buggy, Herp, Mystery
2020: Circuit, Machines, Detector, Code
User avatar
Creationist127
Member
Member
Posts: 111
Joined: August 14th, 2018, 3:21 pm
Division: C
State: IN
Pronouns: He/Him/His
Has thanked: 48 times
Been thanked: 68 times

Re: Machines B/C

Post by Creationist127 »

imaditi wrote: March 26th, 2020, 2:27 pm Since no one has gone in a while here is another question.

A simple machine with an ideal mechanical advantage of (a) is placed in series with another simple machine with an ideal mechanical advantage of (a-1), which is placed in series with other simple machines with an ideal mechanical advantage of (a-2), and so on, until the whole system is placed in series with a simple machine with an ideal mechanical advantage of 1. What is the ideal mechanical advantage of the resulting compound machine in terms of (a)?
Is it (a!) ?
2018: Hovercraft, Thermo, Coaster, Solar System
2019: Thermo, Circuit Lab, Sounds, Wright Stuff
2020: Circuit Lab, Wright Stuff, Machines
2021: Circuit Lab, Machines, WIDI, anything but Wright Stuff

Can I request that we delete 2020 from our memories and do it over again?
User avatar
imaditi
Member
Member
Posts: 44
Joined: August 4th, 2019, 8:47 am
Division: C
State: FL
Has thanked: 138 times
Been thanked: 58 times
Contact:

Re: Machines B/C

Post by imaditi »

yep! your turn
Orlando Science High School '23

imaditi's userpage
2017: Optics, Wind Power, Anatomy
2018: Optics, Rocks & Minerals, Battery Buggy
2019: Game On, Battery Buggy, Herp, Mystery
2020: Circuit, Machines, Detector, Code
User avatar
Creationist127
Member
Member
Posts: 111
Joined: August 14th, 2018, 3:21 pm
Division: C
State: IN
Pronouns: He/Him/His
Has thanked: 48 times
Been thanked: 68 times

Re: Machines B/C

Post by Creationist127 »

You are pulling a block of mass m up an inclined plane at a constant speed. The plane has a coefficient of friction μ and an angle of incline θ. Derive an expression for the actual mechanical advantage of the plane in terms of μ and θ.
2018: Hovercraft, Thermo, Coaster, Solar System
2019: Thermo, Circuit Lab, Sounds, Wright Stuff
2020: Circuit Lab, Wright Stuff, Machines
2021: Circuit Lab, Machines, WIDI, anything but Wright Stuff

Can I request that we delete 2020 from our memories and do it over again?
User avatar
imaditi
Member
Member
Posts: 44
Joined: August 4th, 2019, 8:47 am
Division: C
State: FL
Has thanked: 138 times
Been thanked: 58 times
Contact:

Re: Machines B/C

Post by imaditi »

Creationist127 wrote: March 26th, 2020, 2:56 pm You are pulling a block of mass m up an inclined plane at a constant speed. The plane has a coefficient of friction μ and an angle of incline θ. Derive an expression for the actual mechanical advantage of the plane in terms of μ and θ.
doesn't it depend on efficiency or am I mistaken
Orlando Science High School '23

imaditi's userpage
2017: Optics, Wind Power, Anatomy
2018: Optics, Rocks & Minerals, Battery Buggy
2019: Game On, Battery Buggy, Herp, Mystery
2020: Circuit, Machines, Detector, Code
User avatar
Creationist127
Member
Member
Posts: 111
Joined: August 14th, 2018, 3:21 pm
Division: C
State: IN
Pronouns: He/Him/His
Has thanked: 48 times
Been thanked: 68 times

Re: Machines B/C

Post by Creationist127 »

imaditi wrote: March 26th, 2020, 3:14 pm
Creationist127 wrote: March 26th, 2020, 2:56 pm You are pulling a block of mass m up an inclined plane at a constant speed. The plane has a coefficient of friction μ and an angle of incline θ. Derive an expression for the actual mechanical advantage of the plane in terms of μ and θ.
doesn't it depend on efficiency or am I mistaken
I mean, yeah... but as far as I know, efficiency is just IMA/AMA.
EDIT: Wait, I just realized that what I said doesn't help at all. It may help to remember that AMA is (work you would have done without machine) / (work done using machine)?
2018: Hovercraft, Thermo, Coaster, Solar System
2019: Thermo, Circuit Lab, Sounds, Wright Stuff
2020: Circuit Lab, Wright Stuff, Machines
2021: Circuit Lab, Machines, WIDI, anything but Wright Stuff

Can I request that we delete 2020 from our memories and do it over again?
User avatar
MoMoney$$$;)0)
Member
Member
Posts: 154
Joined: January 14th, 2019, 6:38 pm
Division: C
State: OH
Pronouns: He/Him/His
Has thanked: 41 times
Been thanked: 16 times

Re: Machines B/C

Post by MoMoney$$$;)0) »

No questions here for a while once again so I'll give it a shot.

A typical car has an axle with 1.13 cm radius and a wheel with a radius of 27.75 cm. What is its mechanical advantage assuming the typical wheel and axle?
Division C - Northeast Ohio
Gravity Vehicle
Machines
Detector Building
Circuit Lab
Protein Modeling


2019-2020 Medal Count: 5 :cry:
"Don't be upset by the results you didn't get from the work you didn't do'
Memberships: Builder Cult
User avatar
Umaroth
Exalted Member
Exalted Member
Posts: 398
Joined: February 10th, 2018, 8:51 pm
Division: C
State: CA
Pronouns: He/Him/His
Has thanked: 167 times
Been thanked: 325 times

Re: Machines B/C

Post by Umaroth »

0.0407, less than 1 because it's the axle doing to driving

A door is 1.00 m wide and the handle is 0.75 m from the hinge. What is its IMA?
Cal 2026
Troy SciOly 2021 Co-Captain
Proud Padre of the Evola SciOly Program 2018-now
Dank Memes Area Homeschool Juggernaut 2018-now
Sierra Vista SciOly Co-Head Coach 2020-now

Umaroth's Userpage
smayya337
Member
Member
Posts: 123
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: Machines B/C

Post by smayya337 »

Umaroth wrote: April 25th, 2020, 12:47 pm 0.0407, less than 1 because it's the axle doing to driving

A door is 1.00 m wide and the handle is 0.75 m from the hinge. What is its IMA?
1.33, since it should just be 1.00/0.75 I'll post a new question tomorrow.
TJHSST '22 | UVA '26
smayya337's Userpage
Locked

Return to “2020 Question Marathons”

Who is online

Users browsing this forum: No registered users and 1 guest