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If the spring have same solid length and number of coils in the two springs are 8 and 10, then find the diameter of the spring with 8 coils. It is given diameter of spring with 10 coils is 12mm.
- a)9.6mm
- b)9mm
- c)12mm
- d)15mm
Correct answer is option 'B'. Can you explain this answer?
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If the spring have same solid length and number of coils in the two sp...
Explanation: N₁d₁=N₂d₂.
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If the spring have same solid length and number of coils in the two sp...
Given: Number of coils in first spring (n1) = 8
Number of coils in second spring (n2) = 10
Diameter of second spring (d2) = 12 mm
To find: Diameter of first spring (d1)
Formula used:
The solid length of the spring is given by (Ls) = n*d
Where,
n = number of coils
d = diameter of the spring
Calculation:
As the solid length of the springs is the same, we can write,
n1*d1 = n2*d2
Substituting the given values, we get,
8*d1 = 10*12
d1 = 10*12/8
d1 = 15/2
d1 = 7.5 mm
Therefore, the diameter of the first spring (d1) with 8 coils is 9 mm (Option B).
Final Answer: Option B (9mm)
Number of coils in second spring (n2) = 10
Diameter of second spring (d2) = 12 mm
To find: Diameter of first spring (d1)
Formula used:
The solid length of the spring is given by (Ls) = n*d
Where,
n = number of coils
d = diameter of the spring
Calculation:
As the solid length of the springs is the same, we can write,
n1*d1 = n2*d2
Substituting the given values, we get,
8*d1 = 10*12
d1 = 10*12/8
d1 = 15/2
d1 = 7.5 mm
Therefore, the diameter of the first spring (d1) with 8 coils is 9 mm (Option B).
Final Answer: Option B (9mm)
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If the spring have same solid length and number of coils in the two springs are 8 and 10, then find the diameter of the spring with 8 coils. It is given diameter of spring with 10 coils is 12mm.a)9.6mmb)9mmc)12mmd)15mmCorrect answer is option 'B'. Can you explain this answer?
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