IMA/AMA/EFFICIENCY PRACTICE

Transcription

1 IMA/AMA/EFFICIENCY PRACTICE

2 A cat of bananas wighing 3000 N is shipp fom South Amica to Nw Yok, wh it is unloa by a ock wok who lifts th cat by pulling with a foc of 200 N on th op of a pully. What is th actual mchanical avantag of th systm? 1.

3 1. A cat of bananas wighing 3000 N is shipp fom South Amica to Nw Yok, wh it is unloa by a ock wok who lifts th cat by pulling with a foc of 200 N on th op of a pully. What is th actual mchanical avantag of th systm? AMA F F 3000N 200N 15

4 2. Two clowns, of mass 50.0 Kg an 70.0 Kg spctivly, a in a cicus act pfoming a stunt with a tampolin an a ssaw. Th small clown stans on th low n of th ssaw whil th lag clown jumps fom th tampolin onto th ais si of th ssaw poplling his fin into th ai. A) What is th ial mchanical avantag of th ssaw? B) If th lag clown xts a foc of 850 N on th ssaw as h jumps, how much foc is xt on th small clown?

5 2. Two clowns, of mass 50.0 Kg an 70.0 Kg spctivly, a in a cicus act pfoming a stunt with a tampolin an a ssaw. Th small clown stans on th low n of th ssaw whil th lag clown jumps fom th tampolin onto th ais si of th ssaw poplling his fin into th ai. A) What is th ial mchanical avantag of th ssaw? B) If th lag clown xts a foc of 850 N on th ssaw as h jumps, how much foc is xt on th small clown? IMA AMA F F F 3 850N F N

6 A jackscw with a hanl 30.0 cm long is us to lift a ca sitting on th jack. Th ca ais 2.0 cm with vy full tun of th hanl. What is th ial mchanical avantag of th jack? (C 2π) 3.

7 3. A jackscw with a hanl 30.0 cm long is us to lift a ca sitting on th jack. Th ca ais 2.0 cm with vy full tun of th hanl. What is th ial mchanical avantag of th jack? (C 2π) 2 (30) IMA

8 4. Jack & Jill wnt up th hill to ftch a pail of wat. At th wll, Jill us a foc of 20.0 N to tun th cank hanl of aius m to otat th axl of aius m, so sh coul ais th 60.0 N buckt of wat. A) What is th ial mchanical avantag of th whl? B) What is th actual mchanical avantag of th whl? C) What is th fficincy of th whl?

9 4. Jack & Jill wnt up th hill to ftch a pail of wat. At th wll, Jill us a foc of 20.0 N to tun th cank hanl of aius m to otat th axl of aius m, so sh coul ais th 60.0 N buckt of wat. A) What is th ial mchanical avantag of th whl? B) What is th actual mchanical avantag of th whl? C) What is th fficincy of th whl? IMA 2 (0.400) 2 (0.100) 4 AMA fficincy AMA IMA % 75%

10 5. Cly, a stubbon 3500 N mul, fuss to walk into th hos tail, so Fam Bown must ag him up a 5.0 m amp, which stans 0.5 m abov th goun. A) What is th ial mchanical avantag of th amp? B) If Fam Bown ns to xt a foc of 450 N on th mul, what is th actual mchanical avantag of th amp? C) What is th fficincy of th amp?

11 5. Cly, a stubbon 3500 N mul, fuss to walk into th hos tail, so Fam Bown must ag him up a 5.0 m amp, which stans 0.5 m abov th goun. A) What is th ial mchanical avantag of th amp? B) If Fam Bown ns to xt a foc of 450 N on th mul, what is th actual mchanical avantag of th amp? C) What is th fficincy of th amp? IMA AMA fficincy AMA IMA % 77.7%

12 Cathy, a 460 N actss playing Pt Pan, is hoist abov th stag in o to fly by a staghan pulling on a pully systm with a foc of 60N. What is th actual mchanical avantag of th pully systm? Assuming that th pully systm is lativly fficint, what is th minimum numb of cabls bing us? 6.

13 6. Cathy, a 460 N actss playing Pt Pan, is hoist abov th stag in o to fly by a staghan pulling on a pully systm with a foc of 60N. What is th actual mchanical avantag of th pully systm? Assuming that th pully systm is lativly fficint, what is th minimum numb of cabls bing us? AMA cabls woul b insufficint thfo 8 is th coct numb of cabls.

14 7. A boy xts a foc of 225 N on a lv to ais a 1.25 x 10 3 N ock a istanc of 13 cm. If th lv has an fficincy of 88.7%, how fa i th boy hav to push his n of th lv?

15 7. A boy xts a foc of 225 N on a lv to ais a 1.25 x 10 3 N ock a istanc of 13 cm. If th lv has an fficincy of 88.7%, how fa i th boy hav to push his n of th lv? fficincy IMA 5.5 IMA AMA IMA 6.26 AMA IMA F F 81.42cm N 3 N m 5.5

16 8. Th ga attach to th a axl of a bicycl acts as th whl in a whl an axl simpl machin. Th aius of th ga an th whl a th input an output istancs spctivly. If th ga an whl combination a to hav an IMA of 6 an th whl has a aius of 0.5 m, what is th aius of th ga ncssay to pouc th IMA?

17 8. Th ga attach to th a axl of a bicycl acts as th whl in a whl an axl simpl machin. Th aius of th ga an th whl a th input an output istancs spctivly. If th ga an whl combination a to hav an IMA of 6 an th whl has a aius of 0.5 m, what is th aius of th ga ncssay to pouc th IMA? 2 IMA 2 6 ga whl ga whl ga 0.5 ga 0.083m

18 9. A pully systm has a mchanical avantag of 10. A) If a mov us this pully to lift a piano with a foc of 1450 N a istanc of 4 m, how much foc must th mov us? B) How fa will th mov pull th op? C) How many ops suppot th piano?

19 9. A pully systm has a mchanical avantag of 10. A) If a mov us this pully to lift a piano with a foc of 1450 N a istanc of 4 m, how much foc must th mov us? B) How fa will th mov pull th op? C) How many ops suppot th piano? Pully with MA of ops a us. F ffot 1/10 of F sistanc F ffot 1/10 (1450 N) 145 N Th istanc is 10 x th istanc mov by th piano. 10 x 4 40 m

20 10. A 1 cm long scw that is 62.5% fficint in pulling a 500 N boa to a wall whn th capnt us 80 N of foc in tuning it. What is th tha lngth of th scw?

21 10. A 1 cm long scw that is 62.5% fficint in pulling a 500 N boa to a wall whn th capnt us 80 N of foc in tuning it. What is th tha lngth of th scw? fficincy IMA 6.25 IMA AMA IMA AMA IMA 10cm F F 500N 80N 6.25