Strain gauge calculations

7/23/2019 Strain gauge calculations

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Sl No: Load Output Load Moment Arm Moment

(gms) (mV) (N) (m) (Nm)

1 0 4.34 0.0000 0.106 0.000000

2 203 4.4 1.14 0.106 0.21102

3 2!3 !.1 2.4"1 0.106 0.2630"!

4 303 !.23 2.#24 0.106 0.31!0#"

! 3!3 !.3 3.462 0.106 0.36#0#16 403 !.! 3.!34 0.106 0.41064

# 603 6.1 !.1!4 0.106 0.62#036

" "!3 6."4 ".36# 0.106 0.""#001

1103 #.!4 10."204 0.106 1.14666

10 13!3 ".2 13.2#2 0.106 1.40631

11 1603 ".6 1!.#2!4 0.106 1.666"6

12 2103 10.43 20.6304 0.106 2.1"6"26

$al%&rat%on 'ure Slope 2.##"2

$al%&rat%on 'ure *nter'ept 4.3!63

SL RPM Del h

cm cm cm

1 0 #.4 #.4 #.4 0

2 !20 #.4 ".2 .# 1.!3 620 #.4 ".! 10." 2.3

4 #20 #.4 ".# 11. 3.2

! "20 #.4 .1 13.1 4

6 20 #.4 .! 14.6 !.1

# 1020 #.4 ." 16.2 6.4

h28

h29

h30


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$onstant Moment arm 0 +e%g,tLoad Output-1 Output-2 (Neton)

103 3.3"" #.2!6 1.004

1!3 3.431 #.3"1 1.44

203 3.4#! #.!0" 1."4

303 3.!!# #.#!6 2.64

603 3."1# ".!02 !.04

1103 4.246 .#4 10."04

2!3 3.!16 #.631 2.4#4

3!3 3.602 #.""1 3.4!4

403 3.646 ".00" 3.444!3 3.6"! ".12 4.434

#03 3." ".#4 6.""4

$onstant load 1103 g

/os%t%on Output-1 Output-2 %stan'e Moment

1 4.246 .#4 0 0

2 4.#2 10.206 1" 0.14#6##4

4 !.2# 10.#3 3" 0.4111#634

! !.!1! 10."# 4" 0.!13"064

# 6.041 11.!06 6" 0.#3!#"24


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Output Voltage Moment Drag Force Density

m !m ! "g#m$3

%&0' 0.124640!33 0 1.146063"22

4.!41 0.0664"1"4" 0.2!"6"441!4 1.146063"224."#3 0.1"!"3#30! 0.#236#2103 1.146063"22

!.264 0.326#2233"2 1.2#123144" 1.146063"22

!.#2 0.40"!#3"# 1.0!0326 1.146063"22

6.24 0.6#"02"36 2.63"244012 1.146063"22

6."24 0."""236"" 3.4!61#!0!0! 1.146063"22


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11 0.0"#43 mVN

21 0.2!414 mVN

12 2.43"66 mVNm

22 2.322 mVNm


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Velocity

Pa Pa Pa m#s (

1.##631!" 1.##6316 1.##631!" 0 NA

4#.1#!4" "6!."!#03 1.##631!" 11.63"21 0.412#1131.!#2!444 "0!.6132 1.##631!" 14."2142# 0.#0!16

20.6264042 #4!.4""16 1.##631!" 1#.4"24016 0."1322

"".#341236 6#."1131 1.##631!" 1.!4!12 1.0#12#!

"#6."41"431 !#.#1!26# 1.##631!" 22.0#04!01 1.160603

"60.422632" !10.14614! 1.##631!" 24.#23"44 1.211!"#

P29

P30

Patm

)D


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Re errorc*

unit

0

23440.2!3446#0 0.0011#202!.!!"4134 0.01!!4

34236.6"1!10402 0.016"

3"2##.##3!063! 0.023664

43221.61#4"42 0.02!63"

4"41#.#3226! 0.026#64


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9/137

rror anal5s%s

Sl-no

d52.##"2d 0.002#" 0.001!2#332 0.0003#64#

1 0.0002##"2 0.002#" 0.001!2#332 0.0003#64#

2 0.0002##"2 0.002#" 0.001!2#332 0.0003#64#

3 0.0002##"2 0.002#" 0.001!2#332 0.0003#64#

4 0.0002##"2 0.002#" 0.001!2#332 0.0003#64#

! 0.0002##"2 0.002#" 0.001!2#332 0.0003#64#

6 0.0002##"2 0.002#" 0.001!2#332 0.0003#64#

cm cm

#.4 #.4

#.4 ".2

#.4 ".!

#.4 ".#

#.4 .1

#.4 .!

#.4 ."

SL RPM

cm cm cm

1 0 #.4 #.4 #.4

2 !20 #.4 ".2 .#

3 620 #.4 ".! 10."

4 #20 #.4 ".# 11.

! "20 #.4 .1 13.1

6 20 #.4 .! 14.6

# 1020 #.4 ." 16.2

5 2.##"2 7 4.3!63

error %n moment dueto oltage d1m

8or'e due to

momentdM0.002#"

error %n

dens%t5 due to/a error %n dens%t5due to 9

h28

h29

h28

h29

h30


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0.001!#3230# 0.0#402 0 0 0.0#402 0.0#402 0

0.001!#3230# 0.0#402 ".4661600! 0.0!!42 0.06"3! 0.0#402 0.000243402

0.001!#3230# 0.0#402 0.00011641 0.0#621! 0.110061 0.0#402 0.0003!"12

0.001!#3230# 0.0#402 0.00013#!#! 0.000#2 0.1200#3 0.0#402 0.0004#6221

0.001!#3230# 0.0#402 0.0001#06 0.11##"6 0.1420! 0.0#402 0.000603214

0.001!#3230# 0.0#402 0.00022223# 0.14!!01 0.16!#!6 0.0#402 0.000#61!4

0.001!#3230# 0.0#402 0.0002!3"! 0.1662"6 0.1"42#1 0.0#402 0.000312##

cm

#.4

.#

10."

11.

13.1

14.6

16.2

Del h tput Volta Moment rag Forc Density

m !m ! "g#m$3 Pa Pa

0 %&0' 0.124640!3 0 1.146064 1.#" 1.##6316

1.! 4.!41 0.0664"1"4" 0.2!"6"4 1.146064 4#. "6!."!#03

2.3 4."#3 0.1"!"3#30! 0.#236#2 1.146064 31.!# "0!.6132

3.2 !.264 0.326#2233"2 1.2#123 1.146064 20.63 #4!.4""16

4 !.#2 0.40"!#3"# 1.0!1 1.146064 "".#3 6#."1131

!.1 6.24 0.6#"02"36 2.63"24! 1.146064 "#6."4 !#.#1!26#

6.4 6."24 0."""236"" 3.4!61#! 1.146064 "60.42 !10.14614!

total error %ndens%t5

error %n

p30 dueto , error %n p30due to dens%t5

error %n

p30 dueto angle total error%n p30

error %n

p2 dueto , error %n p2due to dens%t5

h30

P29

P30


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0 0.0#401#!6 NA NA 0 0

0.1!3!" 0.1#"043"33 0.01"3!! 0.00"3 0.01161"2402 0.0230# 0."!6231

0.23!!#2 0.24"!426 0.0206# 0.00163 0.0143"661!6 0.026"2 0.60!4

0.311#"# 0.321#3023 0.022#1 0.00"4#! 0.0166!26 0.02!" 1.0!#21

0.343 0.402"33!46 0.02!432 0.00"6" 0.01"#2!06" 0.032#2 1.1"0"#!

0.4""! 0.!0!1330" 0.02"243 0.0026" 0.021422#64 0.03664 1.31223

0.60#1# 0.614"6!06 0.0306"" 0.001# 0.023"!33" 0.04002" 1.433!

Velocity Re

Pa m#s ( unit

1.#" 0 NA 0

1.#" 11.63"213 0.3"61# 23440.2!

1.#" 14."2142#04 0.#0!16 202!.!6

1.#" 1#.4"2401!# 0."1322 34236.6"

1.#" 1.!4!116 1.0#12#! 3"2##.##

1.#" 22.0#04!013 1.160603 43221.6

1.#" 24.#23"441 1.211!"# 4"41#."

error %n

p2 dueto angle total error %npressure p2

error %n

elo'%t5due to p

error %n

elo'%t5due to p error %n elo'%t5due to dens%t5 total error%n elo'%t5 error %n edue to

Patm

)D


12/137

error %n 'd error %n drag

0 0

0.!""4!6 1.03"4" 0.0041!" 0.00064! 0.000!301 0.0011# 4."4"00!

0.#2"6#3 1.20!6!3 0.002#12 0.000"#3 0.0006#14 0.01!!4 0.00013#063!

0."!4! 1.3644!6 0.0014 0.000"64 0.00122116 0.016" 0.000240#"2

0.604! 1.!224! 0.001!! 0.000"3 0.00146## 0.023664 0.000361#44#

1.0"!06 1.#02#41 0.001223 0.000#! 0.001!00 0.02!63" 0.00046"36

1.21!!1 1."#!4 0.000#! 0.00001 0.0016!4 0.026#64 0.0006!4!6

error %n e

due toden total error%n e

error %n

$d due todrag 8or'e

error %n

$d due toV

error %n $d

due todens%t5


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Strain gauge calculations

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