If the copper is drawn into wire whose diameter is 9.50 , how many feet of copper can be obtained from the ingot? The density of copper is 8.94 .
(Assume that the wire is a cylinder whose volume is , where is its radius and is its height or length.)
No units on 9.50?
In parentheses, "volume is ......" and where is its radius and is.....doesn't make sense. I suggest a repost and put everything in.
To find out how many feet of copper can be obtained from the ingot, we need to calculate the volume of the wire first. Then, we can use the density of copper to convert the volume into mass, and finally, we can convert the mass into feet of copper.
1. Calculate the volume of the wire:
The volume of a cylinder is given by the formula: V = πr^2h, where r is the radius and h is the height.
Given that the diameter of the wire is 9.50 (which means the radius is half of that, so r = 4.75), and assuming the height of the wire is not provided, we cannot calculate the exact volume. However, we can calculate it in terms of the radius.
V = π(4.75)^2h
V = 22.5πh
2. Use the density of copper to convert the volume into mass:
The density of copper is given as 8.94 g/cm^3. To convert the volume into mass, we multiply the volume by the density.
Mass = Volume * Density
Mass = (22.5πh) * 8.94
Mass = 201.15πh
3. Convert the mass into feet of copper:
To convert the mass into feet, we need to know the specific weight of copper, which is given in lbs/ft^3. The specific weight of a material is the weight per unit volume.
Unfortunately, the specific weight of copper is not provided in the question, so we cannot calculate the exact number of feet of copper. However, we can demonstrate the calculation in terms of the specific weight.
Feet = Mass / Specific Weight
Given that the specific weight of copper is not provided, we cannot calculate the exact number of feet of copper that can be obtained from the ingot.