The copper wire

The copper wire bundle with a diameter of 2.8mm has a weight of 5kg. How many meters of wire is bundled if 1m3 of copper weighs 8930kg?

Result

l =  90.9 m

Solution:

D=2.8 mm m=5 kg ρ=8930 kg/m3  r=D/2=2.8/2=75=1.4 mm r2=rm=r/1000 m=1.4/1000 m=0.0014 m S=π r22=3.1416 0.001420 m2  m=ρV m=ρSl  l=mρ S l=mρ π r22=58930 3.1416 0.0014290.931190.9 mD=2.8 \ \text{mm} \ \\ m=5 \ \text{kg} \ \\ ρ=8930 \ \text{kg/m}^3 \ \\ \ \\ r=D/2=2.8/2=\dfrac{ 7 }{ 5 }=1.4 \ \text{mm} \ \\ r_{2}=r \rightarrow m=r / 1000 \ m=1.4 / 1000 \ m=0.0014 \ m \ \\ S=\pi \cdot \ r_{2}^2=3.1416 \cdot \ 0.0014^2 \doteq 0 \ \text{m}^2 \ \\ \ \\ m=ρV \ \\ m=ρ S l \ \\ \ \\ l=\dfrac{ m }{ ρ \cdot \ S } \ \\ l=\dfrac{ m }{ ρ \cdot \ \pi \cdot \ r_{2}^2 }=\dfrac{ 5 }{ 8930 \cdot \ 3.1416 \cdot \ 0.0014^2 } \doteq 90.9311 \doteq 90.9 \ \text{m}



Our examples were largely sent or created by pupils and students themselves. Therefore, we would be pleased if you could send us any errors you found, spelling mistakes, or rephasing the example. Thank you!





Leave us a comment of this math problem and its solution (i.e. if it is still somewhat unclear...):

Showing 0 comments:
1st comment
Be the first to comment!
avatar




Tips to related online calculators
Do you want to convert length units?
Do you know the volume and unit volume, and want to convert volume units?
Tip: Our Density units converter will help you with the conversion of density units.
Do you want to convert mass units?

Next similar math problems:

  1. Copper wire
    cu_wire_1 What is the weight of 1000 m copper wire with a diameter of 5 mm when metric density p = 8.8 g/cm3?
  2. Copper Cu wire
    cu_wire Copper wire with a diameter of 1 mm and a weight of 350 g is wound on a spool. Calculate its length if the copper density is p = 8.9 g/cm cubic.
  3. Cuprum
    plusminus From 1600 mm long sheet of copper plate 2 mm thickness we have separated over the whole length the belt weighing 6000 g. Calculate belt width if 1 dm3 copper weighs 8.9 kg.
  4. Aluminum wire
    drat Aluminum wire of 3 mm diameter has a total weight of 1909 kg and a density of 2700 kg/m3. How long is the wire bundle?
  5. Iron density
    pipe1_2 Calculate the weight of a 2 m long rail pipe with an internal diameter of 10 cm and a wall thickness of 3 mm. The iron density is p = 7.8 g/cm3.
  6. Oak trunk
    stromy Calculate in tonnes the approximate weight of a cylindrical oak trunk with a diameter of 66 cm and a length of 4 m, knowing that the density of the wood was 800 kg/m³.
  7. Hectoliters
    sudy_4 How many hectoliters of water is in garden barrel with 90 cm diameter and a height of 1.3 m, if it is filled to 80% of its capacity?
  8. Castle model
    kuzel2 The castle model has a cone-shaped roof. The cone side is 45 cm long and the base radius is 27 cm. a) What is the roof volume? b) How many dm2 of wallpaper is used to glue the roof, ie the cone shell? c) What is the weight of the roof if it is made of wo
  9. Cylindrical tank 2
    watertank_3 If a cylindrical tank with volume is used 12320cm raised to the power of 3 and base 28cm is used to store water. How many liters of water can it hold?
  10. Newtonmeters
    kluc-skrutky The driver loosened the nut on the car wheel with a wrench that held 20 cm from the axis of the bolt. He acted on the key with a force of 320N. At what moment did he act on the bolt?
  11. Medal
    gold_medail Calculate the approximate weight of the gold Olympics medal, if its diameter is 8 cm and a thickness 6 mm. The density of gold find out in the tables or on the Internet.
  12. Water well
    studna Drilled well has a depth 20 meters and 0.1 meters radius. How many liters of water can fit into the well?
  13. Circular pool
    b1 The 3.6-meter pool has a depth of 90 cm. How many liters of water is in the pool?
  14. Conserving water
    pipes Calculate how many euros are spent annually on unnecessary domestic hot water, which cools during the night in pipeline. Residential house has 129 m of hot water pipelines 5/8" and the hot water has a price of 7 Eur/m3.
  15. Solid in water
    inwater The solid weighs in air 11.8 g and in water 10 g. Calculate the density of the solid.
  16. An oil
    valec2_13 An oil drum is cut in half. One half is used as a water trough. Use the dimensions; length 82cm, width 56cm to estimate the capacity of the water trough in liters.
  17. Cylinder
    valec The 1.8m cylinder contains 2000 liters of water. What area (in dm2) of this container is the water?