Copper 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.

Correct answer:

l =  5007 cm

Step-by-step explanation:

$$\begin{gathered} D=1\text{ mm}\to \text{ cm}=1\mathrm{/}10\text{ cm}=0.1\text{ cm } \\ m=350\text{ g } \\ \rho =8.9{\text{g/cm}}^3 \\ m=\rho V \\ V=m\mathrm{/}\rho =350\mathrm{/}8.9={\displaystyle \frac{3500}{89}}\doteq 39.3258{\text{cm}}^3 \\ r=D\mathrm{/}2=0.1\mathrm{/}2={\displaystyle \frac{1}{20}}=0.05\text{ cm } \\ S=\pi \cdot r^2=3.1416\cdot 0.05^2\doteq 0.0079{\text{cm}}^2 \\ V=Sl \\ l=V\mathrm{/}S=39.3258\mathrm{/}0.0079=5007\text{ cm} \end{gathered}$$

Try another example

Related math problems and questions:

• 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?
• Copper wire
  What is the weight of 1000 m copper wire with a diameter of 5 mm when metric density p = 8.8 g/cm³?
• Copper wire
  What is the mass of 500 m of copper wire with a diameter of 1 mm, if ρ = 8.9 g/cm ^ 3?
• Cu wire
  Copper wire has a length l = 820 m and diameter d = 10 mm. Calculate the weight if density of copper is ρ = 8500 kg/m³. Result round to one decimal place.
• Aluminum wire
  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?
• Iron density
  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.
• AL wire
  What is the weight of an aluminum wire 250 m long with a diameter of 2 mm, if the density of aluminum is p = 2700 kg/m cubic. Determine to the nearest gram.
• Copper wire
  What is the weight in kg of copper wire 200 m long with a diameter of 0.6 cm, if the density of copper is 8.8 kg?
• Rope
  How many meters of rope 10 mm thick will fit on the bobbin diameter of 200 mm and length 350 mm (central mandrel have a diameter 50 mm)?
• Cu thief
  The thief stole 121 meters copper wire with cross-section area of 103 mm². Calculate how much money gets in the scrap redemption, if redeemed copper for 4.6 eur/kg? The density of copper is 8.96 t/m³.
• The resistance
  What is the resistance of an aluminum wire 0.2 km long and 10 mm in diameter?
• Plastic pipe
  Calculate the plastic pipe's weight with diameter d = 70 mm and length 380 cm if the wall thickness is 4 mm and the density of plastic is 1367 kg/m³.
• 3d printer
  3D printing ABS filament with diameter 1.75 mm has density 1.04 g/cm³. Find the length of m = 5 kg spool filament. (how to calculate length)
• Cuprum
  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.
• Medal
  Calculate the gold Olympics medal's approximate weight if its diameter is 8 cm and a thickness 6 mm. The density of gold finds out in the tables or on the Internet.
• Cuboid 5
  Calculate the mass of the cuboid with dimensions of 12 cm; 0.8 dm and 100 mm made from spruce wood (density = 550 kg/m³).
• The square
  The square oak board (with density ρ = 700 kg/m³) has a side length of 50 cm and a thickness of 30 mm. 4 holes with a diameter of 40 mm are drilled into the board. What is the weight of the board?