A scientist is working with 0.7 of gold wire. How long is the wire in millimeters?
Be sure to include the correct unit in your answer.
1 meter = 1000 millimeters
7 meters = ______ millimeters
To find the length of the gold wire in millimeters, we need to know the density of gold. The density of gold is typically measured in grams per cubic centimeter (g/cm³). Let's assume the scientist provides the density.
Once we know the density of gold, we can use it to calculate the length of the wire. The formula we can use is:
Length = Mass / (Density * Area)
However, since we are not given the mass or area of the gold wire, we need to make some additional assumptions. Let's assume that the wire is uniform in thickness and has a circular cross-section.
We also need to know the thickness of the wire to calculate the area. For simplicity, let's assume the wire has a diameter of 1 millimeter.
Given these assumptions, we can proceed with the calculation. Here's the step-by-step process:
1. Determine the density of gold in g/cm³. Typically, the density of gold is around 19.3 g/cm³.
2. Calculate the volume of the wire in cm³.
Assuming the wire has a diameter of 1 mm, the radius would be 0.5 mm (0.05 cm).
Formula for the volume of a cylinder: Volume = π * r² * h,
where r = radius of the wire and h = height (length) of the wire.
Since the wire is assumed to be uniform with a circular cross-section, the area (A) of the wire would be π * r².
Therefore, Volume = A * h = π * r² * h = π * (0.05 cm)² * h.
3. Calculate the mass of the wire in grams.
We are given that the scientist is working with 0.7 of gold wire.
4. Use the formula Length = Mass / (Density * Area) to calculate the length of the wire in centimeters.
5. Finally, convert the length from centimeters to millimeters by multiplying by 10.
Note: The actual values for density, wire thickness, and wire mass should be provided to obtain an accurate answer.