suppose you have a pipe with circumference of 8 cm and length equal 3 cm and that 10 turn of a wire are wrapped about the pipe. what is the length of the wire
Multiply: 8 * 10 = ?
Well, it went that 3 cm in length as well. We need the hypotenuse of a triangle that is 8 * 10 one way and 3 cm the other way
To find the length of the wire wrapped around the pipe, we need to calculate the total distance covered by the wire in 10 turns.
First, we need to calculate the distance covered by one turn of the wire. This can be found by calculating the circumference of the pipe.
The formula to calculate the circumference is:
Circumference = 2 * π * radius
Given that the circumference of the pipe is 8 cm, we can substitute this value into the formula:
8 cm = 2 * π * radius
To find the radius, we can rearrange the formula:
radius = 8 cm / (2 * π)
Now, we can calculate the radius using this formula.
Next, we need to calculate the distance covered by one turn of the wire. This is equal to the circumference of the pipe.
Since we have the radius, we can substitute it into the formula for the circumference:
Circumference = 2 * π * radius
Now, we can calculate the circumference using the radius we calculated earlier.
Finally, to find the length of the wire, we multiply the circumference by the number of turns:
Length of the wire = Circumference * number of turns
By substituting the values we calculated, we can find the length of the wire.