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The desired sensitivity of a bubble tube with 2 mm divisions is 30". The radius of the bubble tube should be
- a)13.75 m
- b)3.44 m
- c)1375 m
- d)None of these
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
The desired sensitivity of a bubble tube with 2 mm divisions is 30"...
30'' = 2mm,
1' = 4mm,
1degree = 240mm,
360degree = 240*360 = 86400mm,
2*π*r = 86400,
So, r = 13757.9mm = 13.75 m.
Most Upvoted Answer
The desired sensitivity of a bubble tube with 2 mm divisions is 30"...
Given:
- Sensitivity of a bubble tube = 30
- Divisions on the bubble tube = 2 mm
To find:
- Radius of the bubble tube
Solution:
Bubble tube sensitivity:
- Sensitivity of a bubble tube is defined as the angular deviation of the bubble from the centerline of the tube per division.
- In this case, sensitivity = 30 divisions per circle.
Degree per division:
- To find the angular deviation per division, we need to find the degree per division.
- There are 360 degrees in a circle.
- Since there are 30 divisions per circle, the degree per division is 360/30 = 12 degrees.
Radius of the bubble tube:
- The sensitivity of a bubble tube is directly proportional to its radius.
- The formula for sensitivity is given by:
Sensitivity = (2 * R * sin(theta/2))/d
where R is the radius of the bubble tube, theta is the angular deviation per division, and d is the division size.
- Rearranging the formula, we get:
R = (Sensitivity * d)/(2 * sin(theta/2))
- Substituting the given values, we get:
R = (30 * 2 mm)/(2 * sin(12/2))
R = 13.75 mm
Therefore, the radius of the bubble tube should be 13.75 mm.
Answer: Option (a) 13.75 m.
- Sensitivity of a bubble tube = 30
- Divisions on the bubble tube = 2 mm
To find:
- Radius of the bubble tube
Solution:
Bubble tube sensitivity:
- Sensitivity of a bubble tube is defined as the angular deviation of the bubble from the centerline of the tube per division.
- In this case, sensitivity = 30 divisions per circle.
Degree per division:
- To find the angular deviation per division, we need to find the degree per division.
- There are 360 degrees in a circle.
- Since there are 30 divisions per circle, the degree per division is 360/30 = 12 degrees.
Radius of the bubble tube:
- The sensitivity of a bubble tube is directly proportional to its radius.
- The formula for sensitivity is given by:
Sensitivity = (2 * R * sin(theta/2))/d
where R is the radius of the bubble tube, theta is the angular deviation per division, and d is the division size.
- Rearranging the formula, we get:
R = (Sensitivity * d)/(2 * sin(theta/2))
- Substituting the given values, we get:
R = (30 * 2 mm)/(2 * sin(12/2))
R = 13.75 mm
Therefore, the radius of the bubble tube should be 13.75 mm.
Answer: Option (a) 13.75 m.
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Community Answer
The desired sensitivity of a bubble tube with 2 mm divisions is 30"...
30"= 145.44 x 10^-6 rad
R=l/a
2 mm / 145.44 x 10^-6
= 13793mm
= 13.79 mm
R=l/a
2 mm / 145.44 x 10^-6
= 13793mm
= 13.79 mm
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The desired sensitivity of a bubble tube with 2 mm divisions is 30". The radius of the bubble tube should bea)13.75 mb)3.44 mc)1375 md)None of theseCorrect answer is option 'A'. Can you explain this answer?
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