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Ruchi. Group Title

a steel tape is calibrated at 20'c .on a cold day when the temperature is -15'c ,what will be percentage error in tape?

  • 2 years ago
  • 2 years ago

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  1. Ruchi. Group Title
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    @tanvidais13 @csaltos @uncle

    • 2 years ago
  2. Ruchi. Group Title
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    @HELLSGUARDIAN

    • 2 years ago
  3. HELLSGUARDIAN Group Title
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    whenever something is heated it expands & when cooled it contracts..so this case can be considered as the case of cooling..use equation \[change \in length=- \alpha \Delta T L\] where L is original length ,\[\Delta T\] is change in temperature..and \[\alpha \] is coefficient of thermal expansion of steel.. when u have found the change in length the %ge error will be given as (change in length/original length)*100 can u do the calculations?

    • 2 years ago
  4. Ruchi. Group Title
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    hey i hav to find percentage error intape.

    • 2 years ago
  5. HELLSGUARDIAN Group Title
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    it will be change in length/original length*100

    • 2 years ago
  6. Ruchi. Group Title
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    bt length is nt mention only temp. is mention

    • 2 years ago
  7. HELLSGUARDIAN Group Title
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    L in this formula will be cancelled as it is in both numerator and denominator..

    • 2 years ago
  8. Ruchi. Group Title
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    hey cn u solve it i'm nt getting u?

    • 2 years ago
  9. HELLSGUARDIAN Group Title
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    wait for 5 minute then i will upload the solution

    • 2 years ago
  10. Ruchi. Group Title
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    okay

    • 2 years ago
  11. HELLSGUARDIAN Group Title
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    • 2 years ago
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  12. HELLSGUARDIAN Group Title
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    you get it?

    • 2 years ago
  13. Ruchi. Group Title
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    no

    • 2 years ago
  14. HELLSGUARDIAN Group Title
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    okay tell me where u have the doubt?

    • 2 years ago
  15. Ruchi. Group Title
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    change in length

    • 2 years ago
  16. 03225186213 Group Title
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    orignal lenth is calibrated length and change is occur when measured at -15c

    • 2 years ago
  17. 03225186213 Group Title
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    have u got it

    • 2 years ago
  18. Ruchi. Group Title
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    @UnkleRhaukus

    • 2 years ago
  19. Ruchi. Group Title
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    hey ash can u hlp me out

    • 2 years ago
  20. ash2326 Group Title
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    Yes. Where do you have trouble understanding?

    • 2 years ago
  21. Ruchi. Group Title
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    i'm nt geting the percentage error

    • 2 years ago
  22. ash2326 Group Title
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    All materials' length changes with temperature. Change in length is given as \[\Delta L=\alpha \Delta T L\] Here \(\Delta T\) is the change in temp. \(\alpha\) is the linear coefficient of thermal expansion. Do you get this formula?

    • 2 years ago
  23. Ruchi. Group Title
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    yes,after put result answer is nt coming

    • 2 years ago
  24. ash2326 Group Title
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    Let's find the change in length \(\alpha \) for steel= \(10.8\times 10^{-6} / C\) C= degree centigrade What's \(\Delta T\) here?

    • 2 years ago
  25. Ruchi. Group Title
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    35

    • 2 years ago
  26. ash2326 Group Title
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    it's -35. The length will decrease \[\Delta T=(-15)-(20)=-35\]

    • 2 years ago
  27. ash2326 Group Title
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    \[\text{now find}\ \Delta L \ \text{in terms of L} \]

    • 2 years ago
  28. Ruchi. Group Title
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    nt getting ANSWER CORRECT

    • 2 years ago
  29. ash2326 Group Title
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    Do you have the answer?

    • 2 years ago
  30. Ruchi. Group Title
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    YES

    • 2 years ago
  31. ash2326 Group Title
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    Mind sharing here?

    • 2 years ago
  32. Ruchi. Group Title
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    its -0.042%

    • 2 years ago
  33. ash2326 Group Title
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    Does you question mentions the value of alpha?

    • 2 years ago
  34. Ruchi. Group Title
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    no ur answer that u get

    • 2 years ago
  35. ash2326 Group Title
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    It's because of the value of alpha. For steel it varies between \(11-13 *10^{(-6)} /C\) Use \(12\times 10^{-6} /C\) and you'd get the answer

    • 2 years ago
  36. ash2326 Group Title
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    Do you get it?

    • 2 years ago
  37. rohit123 Group Title
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    99.94%

    • 2 years ago
  38. Ruchi. Group Title
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    no .

    • 2 years ago
  39. Ruchi. Group Title
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    i think that if we use difference in reading we get the answer.in place of length

    • 2 years ago
  40. Ruchi. Group Title
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    @sauravshakya @shadowfiend @TuringTest

    • 2 years ago
  41. Ruchi. Group Title
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    @experimentX

    • 2 years ago
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