Answer:
the lead of a 1/2 inch diameter drill with a 118 degree included angle is approximately 0.661 inches.
Step-by-step explanation:
The lead of a drill bit is the distance that the bit advances axially for each complete revolution. The formula for lead is:
lead = (π / tan(θ)) x d
where:
- π is the mathematical constant pi (approximately 3.14159)
- θ is the included angle of the drill bit (in radians)
- d is the diameter of the drill bit
In this case, the diameter of the drill bit is given as 1/2 inch. We need to convert this to inches:
d = 1/2 inch = 0.5 inches
The included angle of the drill bit is given as 118 degrees. We need to convert this to radians:
θ = 118 degrees x (π / 180 degrees) = 2.058 radians
Now we can use the formula to calculate the lead:
lead = (π / tan(θ)) x d
= (π / tan(2.058)) x 0.5
≈ 0.661 inches
Therefore, the lead of a 1/2 inch diameter drill with a 118 degree included angle is approximately 0.661 inches.