do you know how to calculate the length of a helix?
The radius is 2/Ï€, so we have
x = 2/π cos θ
y = 2/π sin θ
z = 15/4π θ
0 <= θ <= 8*2π
The radius is 2/Ï€, so we have
x = 2/π cos θ
y = 2/π sin θ
z = 15/4π θ
0 <= θ <= 8*2π
1. Calculate the distance covered by one turn of the wire:
- The circumference of the pipe is 4 inches.
- One turn of the wire covers the entire circumference of the pipe.
- Therefore, one turn of the wire covers a distance of 4 inches.
2. Multiply the distance covered by one turn by the number of turns:
- Number of turns = 8
- Distance covered by the wire = 4 inches per turn × 8 turns = 32 inches
So, the length of the wire is 32 inches.
First, we need to find the distance covered by one turn of the wire around the pipe. Since the circumference of the pipe is 4 inches, one turn around the pipe covers a distance of 4 inches.
Next, we multiply the distance covered by one turn by the number of turns to get the total distance covered by the wire. In this case, since there are 8 turns, we multiply 4 inches (distance covered by one turn) by 8 turns:
Total distance = 4 inches/turn * 8 turns
Total distance = 32 inches
Therefore, the length of the wire is 32 inches.