Understanding Sensitivity in Bubble Tubes
To determine the required radius of a bubble tube to achieve a desired sensitivity, we first need to understand the relationship between the sensitivity, the tube's dimensions, and the division readings.
Desired Sensitivity
- The desired sensitivity of the bubble tube is 30".
- This means for every 30" of movement, the bubble should reflect a 2 mm division.
Relationship Between Sensitivity and Radius
- Sensitivity (S) is typically defined by the formula: S = (L/R)
- Where L is the length of the bubble tube, and R is the radius of the tube.
- For a given tube length, a larger radius will result in increased sensitivity.
Calculating the Radius
- Given the division of 2 mm corresponds to a sensitivity of 30", we need to set up the relationship:
- If 30" corresponds to 2 mm, we can convert this to a standard unit for calculations.
Conversion of Units
- Converting 30 inches to mm gives approximately 762 mm.
Required Radius Calculation
- Rearranging the sensitivity relationship: R = L/S
- Plugging in the values, if L is known (the total length of the bubble tube), we can find the radius.
Example Calculation
- Assuming a length (L) of 1 meter (1000 mm):
- R = 1000 mm / (762 mm / 2 mm)
- This yields a specific radius that meets the sensitivity requirement.
Conclusion
- The radius must be calculated based on the desired sensitivity and the actual length of the bubble tube.
- The larger the radius, the more sensitive the bubble tube will be to changes in angle, allowing for more precise measurements.