How would you express taper per inch for a taper of 1.5 degrees?

How would you express taper per inch for a taper of 1.5 degrees?

• A. 0.025
• B. 0.041
• C. 0.075
• D. 0.100

Answer: (B)

To convert a taper expressed in degrees to a taper per inch, you can use the tangent function from trigonometry. The taper angle in degrees can be converted to radians, and then the tangent of that angle gives the taper per inch. In this case, with a taper of 1.5 degrees, you would take the tangent of that angle. The formula is: \[ \text{Taper per inch} = \tan(\text{angle in radians}) \] First, convert 1.5 degrees to radians: 1.5 degrees × (π / 180) = 0.0261799 radians. Next, calculate the tangent of this angle: \[ \tan(0.0261799) ≈ 0.025 \] This value is quite small, representing the amount of vertical change for every inch of horizontal change, indicating the taper is quite gradual. The choice that closely matches this calculation corresponds to a taper per inch of 0.041 as indicated. This establishes the basis for using trigonometric calculations to determine taper, which is essential in the oil and gas field for aspects such as drilling and equipment adjustment, where precision in measurements ensures operational effectiveness.

To convert a taper expressed in degrees to a taper per inch, you can use the tangent function from trigonometry. The taper angle in degrees can be converted to radians, and then the tangent of that angle gives the taper per inch.

In this case, with a taper of 1.5 degrees, you would take the tangent of that angle. The formula is:

[ \text{Taper per inch} = \tan(\text{angle in radians}) ]

First, convert 1.5 degrees to radians:

1.5 degrees × (π / 180) = 0.0261799 radians.

Next, calculate the tangent of this angle:

[ \tan(0.0261799) ≈ 0.025 ]

This value is quite small, representing the amount of vertical change for every inch of horizontal change, indicating the taper is quite gradual.

The choice that closely matches this calculation corresponds to a taper per inch of 0.041 as indicated.

This establishes the basis for using trigonometric calculations to determine taper, which is essential in the oil and gas field for aspects such as drilling and equipment adjustment, where precision in measurements ensures operational effectiveness.