A very long wire carries a current of 2.30 A and is bent into the shape seen below. One part is exactly half a circle with a radius of 4.60 cm, and the rest is _______.
To determine the shape of the wire, we need to analyze the given information.
The wire is bent into the shape seen below, with one part being a half-circle with a radius of 4.60 cm:
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Let's call the length of the wire in the half-circle part L1. In a half-circle, the circumference is equal to half the total circumference of a complete circle. We can calculate L1 using the formula for the circumference of a circle:
C1 = πd
Since the diameter (d) of the circle is twice the radius (r), we have:
L1 = π(2r) / 2 = πr
Given that the radius r is 4.60 cm, we can calculate L1:
L1 = π * 4.60 cm ≈ 14.44 cm
Now we need to determine what shape makes up the remaining length of the wire. Since the wire is bent into this shape, and one part forms a semicircle, we can imply that the remaining part takes a straight line, parallel to the horizontal part of the semicircle, as shown:
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Therefore, the remaining part is a straight line segment.
To determine the shape of the rest of the wire, we need to analyze the given information.
Let's break down the problem step-by-step:
1. We are given that a wire carries a current of 2.30 A and is bent into a particular shape.
2. The first part of the wire is described as "exactly half a circle" with a radius of 4.60 cm.
Now, let's find the missing information:
To find the missing part of the wire, we need to determine the length or shape. Since we have the radius and the fact that it is half a circle, we can calculate the length of the circular part using the formula:
C = π * d
where C is the circumference of the circle, and d is the diameter of the circle.
Since we know that the radius (r) of the circle is 4.60 cm, we can calculate its diameter (d) using the formula:
d = 2 * r
d = 2 * 4.60 cm
d = 9.20 cm
Now, we can calculate the circumference of the circular part of the wire:
C = π * d
C = π * 9.20 cm
C ≈ 28.96 cm (rounded to two decimal places)
So, the circular part of the wire has a length of approximately 28.96 cm.
As for the remaining part of the wire, it must be a straight line segment since the wire is bent into a particular shape. The length of the straight line segment can be calculated by subtracting the length of the circular part from the total length of the wire.
Hence, the rest of the wire is a straight line segment that determines the length of the wire.
To determine the missing shape of the wire, we need to apply the properties of the wire and use some geometry concepts.
We are given that one part of the wire is exactly half a circle with a radius of 4.60 cm. Let's call this part A.
To find the missing shape, we need to identify the remaining part of the wire. Since the wire is bent, it means there has to be a connection or continuation from one part to another.
Since part A is a half circle, the other part should connect to the straight edges of part A. Since we don't have enough information to determine the specific shape, we can assume it to be a straight line or any other shape in order to connect to the half-circle.
Therefore, the missing shape of the wire can be any shape that allows the connection of the straight edges of part A.