Answer:
Meh
Explanation:
we first need to calculate the length of wire required for one wrapping and then multiply it by the total number of wrappings.
The length of wire required for one wrapping can be calculated using the circumference formula for a circle:
Circumference = 2πr
Here, the radius (r) of the circle is half the diameter of the nail plus the diameter of the wire. The total number of wrappings that can fit side by side on the nail is given as 100, so we need to divide the circumference by 100 to find the length of wire for one wrapping.
Let's calculate it step by step:
1. Calculate the radius of the nail:
Radius = Diameter / 2 = 0.4 cm / 2 = 0.2 cm = 0.002 m
2. Calculate the radius of the wire:
Radius = Diameter / 2 = 0.05 cm / 2 = 0.025 cm = 0.00025 m
3. Calculate the circumference of the circle for one wrapping:
Circumference = 2π(Radius of nail + Radius of wire)
Circumference = 2π(0.002 m + 0.00025 m) = 0.01257 m
4. Calculate the length of wire for one wrapping:
Length of wire for one wrapping = Circumference / 100
Length of wire for one wrapping = 0.01257 m / 100 = 0.0001257 m
5. Calculate the total length of wire for 700 wrappings:
Total length of wire = Length of wire for one wrapping * Number of wrappings
Total length of wire = 0.0001257 m * 700 = 0.08799 m
Rounding to the nearest 0.1 m, the length of wire needed to make a magnet with 700 wrappings is approximately 0.1 m.