dimecres, 14 de setembre del 2011

Magnituds i Unitats


EXERCICIS DE CANVIS D’UNITATS

UNITATS DE MASSA

Realitza els canvis d'unitats:
  1. 300 mg =                                                                                                            dag
  2. 40 g =                                                                                                                 kg
  3. 500 Mg =                                                                                                           Gg
  4. 8000 mg =                                                                                                           mg
  5. 0,008 g =                                                                                                            mg
  6. 60000 ng =                                                                                                         dag
  7. 0,069 cg =                                                                                                          mg
  8. 0,0734 kg =                                                                                                        g
  9. 8000 dag =                                                                                                         dg
  10. 20 cg =                                                                                                               dag
  11. 304hg =                                                                                                              Mg
  12. 0,7 mg =                                                                                                              g
  13. 4088mg =                                                                                                           hg
  14. 5005000 dg =                                                                                                     Mg
  15. 0,687Mg =                                                                                                         Gg
  16. 9000 dg =                                                                                                           hg
  17. 0,08 dag =                                                                                                          mg
  18. 70000000pg =                                                                                                    cg
  19. 0,53 dag =                                                                                                          kg
  20. 85,500 hg =                                                                                                        mg
  21. 0,027 mg =                                                                                                         ng
  22. 32,7 Tg =                                                                                                            kg

UNITATS DE TEMPS
Realitza els canvis d’unitats :
  1. 1800 h =                                                                                                       min
  2. 20 min =                                                                                                       h
  3. 45 s =                                                                                                           min
  4. 0,5 s =                                                                                                          min
  5. 4 mesos =                                                                                                     h
  6. 4,5 dies =                                                                                                     s
  7. 8000 ms =                                                                                                    s
  8. 0,06 ks =                                                                                                      min
  9. 23 anys =                                                                                                      h
  10. 45 min =                                                                                                       h
  11. 1825 dies =                                                                                                  s
  12. 0,2 mes =                                                                                                      min
  13. 1200 min =                                                                                                   h
  14. 3000000 ms =                                                                                               ms
  15. 0,00075 s =                                                                                                  ms
  16. 2628000 h =                                                                                                 anys
  17. 1656099 s =                                                                                                 h
18.  1260000 min =                                                                                             mesos
  1. 288000 s =                                                                                                   h
  2. 2190 h =                                                                                                       mesos

UNITATS DE SUPERFÍCIE
Realitzeu els següents canvis d’unitats:
1.      0,005 mm2=                                                                                                     cm2
2.      7500 dam2 =                                                                                                    hm2
3.      3·10 6 cm2 =                                                                                                     dam2
4.      2·10-4 km2 =                                                                                                     dm2
5.      3·105 mm2 =                                                                                                     mm2
6.      0,03 dam2 =                                                                                                     dm2
7.      4·103 cm2 =                                                                                                      m2
  1. 6·10-4 m2 =                                                                                                       mm2
9.      8·105 mm2 =                                                                                                     dm2
10.  6·10-5 mm2 =                                                                                                    km2
  1. 500 cm2 =                                                                                                        dam2
  2. 0,0007 hm2 =                                                                                                   cm2
  3. 80 dm2 =                                                                                                          hm2
14.  0,002 km2 =                                                                                                     m2
15.  0,00009 dm2 =                                                                                                mm2

UNITATS DE VOLUM
Realitza el canvi de les següents unitats:
  1. 0,0004 m3 =                                                                                                     cm3
  2. 900000 hm3 =                                                                                                  dm3
  3. 5·10-7 dam3 =                                                                                                   m3
  4. 5·106 cm3 =                                                                                                      m3
  5. 0,00002 km3 =                                                                                                 m3
  6. 6000 dm3 =                                                                                                     m3
  7. 0,07 dm3 =                                                                                                      m3
  8. 300000 cm3 =                                                                                                  dam3
  9. 4000000 mm3 =                                                                                                                               m3
  10. 0,09 dm3 =                                                                                                      cm3
  11. 4·10-8 hm3 =                                                                                                    dm3
  12. 0,07 m3 =                                                                                                         cm3
  13. 3·105 cm3 =                                                                                                      m3
  14. 0,000008 dm3 =                                                                                              dam3
15.  0,6 mm3 =                                                                                                        dm3













unitats de volum

Realitza els següents canvis d'unitats:

600 mL =                                   dm3         7·104 m3 =                                           L
40 L =                                        m3           450 mL =                                            m3
20 kL =                                      dm3         0,03 dL =                                            cm3
800000 cm3 =                             hL           40 L =                                                 m3
0,03 m3 =                                    cl            0,25 kL =                                            dm3
330 cL =                                     dm3         70 dam3 =                                            hL
5000 mL =                                 m3           4·106 mm3 =                                        m3
0,04 dL =                                   cm3         3000 hL =                                           dam3
0,7 m3 =                                      dl            5·l08 mL =                                           m3
0,9 L =                                       m3           0,002 dm3 =                                        cL
4·105 m3 =                                  cL           20 daL =                                             cm3
57 cL =                                       m3           600 dL =                                             hL
10,600 kL =                               cL           6700 L =                                             cm3
3·10-4 dam3 =                             L             3·107 cL =                                           dam3
8088 L =                                    cm3         6·10-5 m3 =                                          mL
500 cl =                                      m3           40000 mm3 =                                       dL
80 dl =                                        dm3         0,002 dal =                                          cL
0,006 m3 =                                  cL           0,03 m3 =                                             dL
35000 mm3 =                              cL           50 ml =                                                dm3
2·10-5 dam3 =                             mL          9·109 cm3 =                                         kL


PREFIX

SÍMBOL

EQUIVALÈNCIES

                                       NOTACIÓ
                                   CIENTÍFICA                       

EXEMPLE

tera
T
1000 000 000 000
1012
1Tm=1000 000 000 000 m
giga
G
1000 000 000
109
1 Gm= 1000 000 000 m
mega
M
1000 000
106
1 Mm= 1000 000 m
quilo
k
1000
103
1 kg=1000 g
hecto
h
100
102
1 hm= 100m
deca
da
10
101
1 dam= 10 m
deci
d
0,1
10-1
1 dm= 0,1 m
centi
c
0,01
10-2
1 cm= 0,01 m
mil·li
m
0,001
10-3
1 mg= 0,001 g
micro
μ
0,000 001
10-6
1 μm= 0,000001 m
nano
n
0,000 000 001
10-9
1 nm= 0,000000001 m
pico
p
0,000 000 000 001
10­-12
1 pm= 0,000000000001m
femto
f
0,000 000 000 000 001
10-15
1 fm= 0,000000000000001m

Canvis d'unitats de longitud habituals           


km


hm







dam


: 10





m








dm


 

x 10



cm








mm










Canvis d’unitats de temps


Les equivalències que es prenen habitualment són :


1 min = 60 s
1 h = 60 min
1 dia = 24 h
1 mes = 30 dies
1 any = 365 dies

 
 







Canvis d'unitats de massa habituals            

                                                                      

Tm

























kg


: 10








hg










dag







x 10



g











dg











cg











mg












Canvis d’unitats de superfície més habituals


km2


hm2







dam2


: 100





m2







dm2


 

x100



cm2








mm2
























A més hem de conèixer les unitats següents:
 àrea (a) =100 m2
 hectàrea (ha) =10.000 m2
 
 




Canvis d’unitats de volum i capacitat més habituals


km3


hm3







dam3


:1000





m3







dm3


 

x1000



cm3








mm3























S’usen molt també les mesures de capacitat basades en el  litre (L) següents:

kL


hL







daL


: 10





L







dL


 

x10



cL








mL
























Es pot passar d’un sistema a l’altre si coneixem les equivalències:

1 m3 = 1kL
1 dm3 = 1L
1 cm3 = 1 mL
 
 


                                    
Factors de conversió:


Passa de:

a:
23 m/s

km/h
0,098 cm/min

dam/s
1280 kg/m3

g/cm3
234 mm/h

m/s
234 g/L

kg/m3
0,0032 dag/cm3

mg/kL
354μg/mL

g/cm3
3400000 km/dia

mm/s
0,098 hm/mes

cm/min
987 kL/s

hm3/min
0,987 Mg/m3

mg/cm3
987 kg/cL

dag/mm3
0,00089 Gm/any

m/min
43 mm/s

cm/min

















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