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ID:______NAME:______________________________________________________DATE:____________________  ___________ CLASS:________ Chapter 11: T orque Notes POGIL #1 REMEMBER: Throughout this paper, you will see some symbols. The “stop sign” means STOP and check with a teacher before continuing. The “key” means T!S !S " #$% PO!&T, P"% "TT$&T!O&'  . : TORQUE - (!)$*T!O&S:  Use the information in the boxes to answer the following qestions E!er" time "o o#en a $oor% trn on a water fa&et% or tighten a bolt with a wren&h% "o exert a trning for&e &alle$ T'()UE*  T orqe is $i+er ent than for&e: torqe ma, es an ob-e&t trn. net force ma,es an ob-e&t accelerate* 1. /hat are some e!er"$a" exam#les 0that are N'T liste$ abo!e1 in whi&h "o se torqe to &om#lete a tas,2  /hen the force is perpendicular % the $istan&e from the trning axis to the #oint of &onta&t is &alle$ the lever arm. /hen a #er#en$i&lar for&e is a##lie$ to a $oor% the le!er arm is the $istan&e between the $oor,nob an$ the e$ge with the hinges* 0see image to the right1 2. Look the formula above for TOR!". h$%h o f the follo&$'( pro)u%es the (reatest torque* a. Small for&e% short le!er arm b. Large for&e% small le!er arm %. Small for&e% long le!er arm ). Large for&e% long le!er arm* +.  CIRCLE ONE: Torque $s 0directly, in+ersely proport$o'al to the perpe') $%ular for%e. ,. CIRCLE ONE: Torque $s 0directly, in+ersely proport$o'al to the lever arm. -.  COMPLETE THE SENTENCE:  The same torqe &an be #ro$&e$ b" a large for&e with a short le!er arm% or a small for&e with a  ____________ ____* . /rite 34 in exaggerate$ eqation form 0bigger5smaller s"mbols6 force is re#resente$ b" -F7 an$ lever arm is re#resente$ b" 8 L7 1 /. 0uppose ou tr to push ope' th e )oor belo& + t$mes. $'(e $s o' the left3 )oork'ob o' the r$(ht4 5ust l$ke our %lassroom )oors6 !" irst, you push by the !&/$ 0see then -12. #" Then, you push in the middle. $" inally, you push by the handle. 099TR% &'is on &'e classroom doors((() a. In whi&h s&enario is the le!er arm the S'(TEST2  _________ b. In whi&h s&enario is the le!er arm the LA(;EST2_________ 1

1. Torque POGIL and Webquest

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ID:______NAME:______________________________________________________DATE:____________________  ___________CLASS:________ 

Chapter 11: Torque Notes POGIL #1REMEMBER: Throughout this paper, you will see some symbols.The “stop sign” means STOP and check with a teacher before continuing.The “key” means T!S !S " #$% PO!&T, P"% "TT$&T!O&'

  . : TORQUE -

(!)$*T!O&S: Use the information in the boxes to answer the following qestions

E!er" time "o o#en a $oor% trn on a water fa&et% or tighten

a bolt with a wren&h% "o exert a trning for&e &alle$ T'()UE* Torqe is $i+erent than for&e: torqe ma,es an ob-e&t trn.net force ma,es an ob-e&t accelerate*

1. /hat are some e!er"$a" exam#les 0that are N'T liste$ abo!e1 in whi&h "o se torqe to&om#lete a tas,2

 /hen the force is perpendicular % the $istan&e fromthe trning axis to the #oint of &onta&t is &alle$ the

lever arm.

/hen a #er#en$i&lar for&e is a##lie$ to a $oor% thele!er arm is the $istan&e between the $oor,nob an$the e$ge with the hinges* 0see image to the right1

2. Look the formula above for TOR!". h$%h of the follo&$'( pro)u%es the(reatest torque*

a. Small for&e% short le!er armb. Large for&e% small le!er arm%. Small for&e% long le!er arm). Large for&e% long le!er arm*

+.  CIRCLE ONE: Torque $s 0directly, in+ersely proport$o'al to the perpe')$%ular

for%e.

,. CIRCLE ONE: Torque $s 0directly, in+ersely proport$o'al to the lever arm. 

-.  COMPLETE THE SENTENCE: The same torqe &an be #ro$&e$ b" a large for&e witha short le!er arm% or a small for&e with a

 ______________________________________________________*. /rite 34 in exaggerate$ eqation form 0bigger5smaller s"mbols6force is re#resente$

b" -F7 an$ lever arm is re#resente$ b" 8L7 1

/. 0uppose ou tr to push ope' the )oor belo& + t$mes. $'(e $s o' the left3)oork'ob o' the r$(ht4 5ust l$ke our %lassroom)oors6

!" irst, you push by the !&/$ 0see then-12.

#" Then, you push in the middle.$" inally, you push by the handle.

099TR% &'is on &'e classroom doors((()a. In whi&h s&enario is the le!er arm the S'(TEST2

 _________ b. In whi&h s&enario is the le!er arm the LA(;EST2_________ 

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%. In whi&h s&enario is it most $i<&lt to o#en the $oor2 _________ ). So% in whi&h s&enario $o "o ha!e to exert the M'ST ='(CE2

 _______________________ e. In whi&h s&enario is it easier to o#en the $oor2 _________ f. So% in whi&h s&enario $o "o ha!e to exert the LEAST ='(CE2

 _______________________ /hen the force is perpendicular % the $istan&e from the trning axis to the #oint of &onta&tis &alle$ the lever arm.

If the for%e $s 'ot at r$(ht a'(le to the lever arm4the' o'l the perpe')$%ular%ompo'e't of the for%e &$ll %o'tr$bute to thetorque.

7lthou(h the ma('$tu)es of theappl$e) for%es are the same $'

ea%h %ase4 the torques are)$8ere't.

9. h )o ou th$'k the torques (et pro(ress$vel lar(er $' the above s%e'ar$os'ot$%e a' tre')s* Let;s see ho& &ell ou $'terprete) b a's&er$'( 9a <9b=

a. /hat is $i+erent from s&enario > to s&enario ?2

b. /hat is $i+erent from s&enario? to s&enario @2

>. Can the same for&e #ro$&e $i+erent amonts of torqe2 EBLAIN:

1?. Can the same torqe be exerte$ from $i+erent for&es2 EBLAIN:

11. If "o &annot exert enogh torqe to trn a stbborn bolt% wol$ more torqe be#ro$&e$ if "o fastene$ a length of ro#e to the wren&h han$leas shown2 EBLAIN:

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*C'ec+ and CORRECT ,our ans-ers &o .!! in ,our &e/&0oo+ 1 see&'e ,ello- 0o/ on p2 !3#4 ans-ers are a& 0o&&om of pa2e5See

&eac'er for clari6ca&ion if needed(*  .3: TORQUE & CG

)$3$34$) 5 The 6eaning Tower of Pisa does not 

topple o+er because its */ lies abo+e its base7if the */ e1tended4$%O&( the base it would topple70u& 7H% 8 The answer is $e to

 T'()UE*

12. /hen the C; is not o!er the area of s##ort% what force #ro$&es a

torqe that &ases to##ling2

  .2: BALANCED TORQUES (!)$*T!O&S: Use the information in the boxes to answer the following qestions

• /eight alone $oes not #ro$&e rotationtorqe $oes*

/hen 0alanced &or8ues a&t on an ob-e&t% there is no c'an2ein ro&a&ion"

• ? ,i$s &an balan&e a seesaw e!en when their weights are noteqal

o A #air of torqes &an balan&e ea&h other*o @ala'%e $s a%h$eve) $f the torque that te')s to

pro)u%e %lo%k&$se rotat$o' Ab the boB equals thetorque that te')s to pro)u%e %ou'ter%lo%k&$serotat$o' Ab the ($rl.B

  Tor8ue coun&ercloc+-ise 9 Tor8ue cloc+-ise

Force / Lever rm) coun&ercloc+-ise  9 Force / Lever rm ) cloc+-ise

!$"Calcula&e &'e 2irl;s &or8ue:a. /hat is the girl7s weight2 0this is the Perpendicular Force1___________________________ b. /hat is the girl7s DISTANCE from the =ULC(UM5TU(NIN; B'INT2 0This is the Lever

 rm1_____________ %. Cal&late the girl7s torqe: 9Show all wor,. the nit for torqe is the Newton Meter 0 &m1

!<"Calcula&e &'e 0o,;s &or8ue:a. /hat is the bo"7s weight2 0this is the Perpendicular Force1___________________________ b. /hat is the bo"7s DISTANCE from the =ULC(UM5TU(NIN; B'INT2 0This is the Lever

 rm1_____________ %. Cal&late the bo"7s torqe: 9Show all wor,. the nit for torqe is the Newton Meter 0 &m1

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!3" Ho- does &'e 2irl;s &or8ue compare -i&' &'e 0o,;s &or8ue= 7'a& do,ou no&ice:

!>" o the math6 /hat is the weight of the blo&, hng at the >F

&m mar,2 9)$3$34$) The le+er arm is the distancefrom the T;)&!&/ PO!&T to the P$)P!&(!*;6") O)*$

BE CREF?L( SHO7 LL 7OR@:

*C'ec+ and CORRECT ,our ans-er &o .!> in ,our &e/&0oo+ 1 see p2 !3$ 5See &eac'er for clari6ca&ion if needed(*

99%!: Scale balances that work with sliding weights are based on balanced tor<ues, not balancedmasses. The sliding weights are ad=usted until the counterclockwise tor<ue =ust balances theclockwise tor<ue. >e say the scale is in rotational e<uilibrium.

  .2 – Balanced Tor!e" #EBQUEST - Balanc$n% Ac '(ET La)

*2+12,

I'tro)u%t$o':• E!er ha$ to &arr" a single hea!" sa&, of boo,s or gro&eries with one han$2

o /hat ha##ens to "or bo$" to allow "o to $o this2o ow is "or bo$" $i+erent when "o ha!e to &arr" T/' sa&,s% one on ea&h si$e2

• ow abot the &lassi&% teeter totter 0see saw12o Can "or s&&essfll" totter5 see saw with someone hea!ier than "o2o ow2o Man" #eo#le thin, that weight is all that matters when "o balan&e something6

bt that $ownwar$ for&e 0weight1 is onl" a #art of the sitation* Go will bein!estigating balan&e$ torqes in this web qest*

Pro%e)ure:

1.;o to htt#:55#het*&olora$o*e$5en5simlation5balan&inga&t % or google HBET alan&ing

A&tJ

2.Cli&, on the #i&tre:

3. Take 5-10 minutes to play with the simulation. There are 3 tabs at the top - Intro, Balance Lab, an

!ame. Try all 3. !o ahea. "lay. #a$e %un. Learn.  Pay close attention to tab 2 – Balance Lab.

That is what you will be doing later in this activity! 

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,.Is there more than one wa" to get two ob-e&ts with$)e't$%al masses to balan&e2 ow2

-.Next% tr" to get two ob-e&ts of diAeren& masses tobalan&e* Tr" to $es&ribe at least ? $i+erent wa"s that"o were able to balan&e them an$ $raw them below* 99Ma,e sre "o label themasses an$ the )$sta'%e to ea%h mass from the %e'ter 0#i!ot #oint1* 0HINT1 clic+ R?LER LEEL199

a.

 b.

6. Look at the image below. The, test  your prediction in the simulation and fix any errors.

a.  PR!"#T"$%&

i. Where would you need to place the floating fire extinguisher to balance the system? Draw 

your preiction below.

b. T'T "T(  '!o to (Balance Lab portion, set it up as shown, an click ()emo$e *upports+

i. as your preication riht/  

ii. hy or why not/

). Look at the kids on the see*saw.

a. ")ITI46

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i. ill this balance/ 

ii. hy or why not/

b. T*T IT7 '!o to (Balance Lab portion, set it up as shown, an click ()emo$e *upports+

i. as your preication riht/  

ii. hy or why not/

+. The bo8 on the left is - kg an the bo8 on the right is 6 kg

a. ")ITI46

i. ill this balance/ 

ii. hy or why not/

b. T*T IT7 '!o to (Balance Lab portion, set it up as shown, an click ()emo$e *upports+

i. as your preication riht/  

ii. hy or why not/

c. #ow coul you #9! this so that the see saw would   balance/ raw your preiction here6

d. T*T IT : as your preiction correct/ raw what you obser$e here, an make any necessary

corrections6

/. The irl is 30 k. here woul you ha$e to place the ;0 k woman in

orer to balance the see-saw/a. 9L<L9T = )9 your preiction6

b. T*T your preiction. ere you correct/  

c. I% you nee to make any corrections, o so now6

. >inally, etermine the mass o% each o% the mystery ob?ects. SHOW ALL WOR!

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