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Determination of gravitational acceleration with a reversible pendulum - Thí nghiệm vật lí | Trường Đại học Bách khoa Thành phố Hồ Chí Minh

Calculations: 5.1 Determine the oscillating period of the reversible pendulum: ❖Calculate the mean period T of the reversible pendulum from the values in table 2: 𝑇 = 1 50 . (50𝑇1+50𝑇2) 2 = 1.6833(𝑠) ❖ Random error of T: ∆𝑇 = 1 50 . (∆(50𝑇1)+∆(50𝑇2)) 2 = 0.0002(𝑠) ❖ Systematic error of T: ∆𝑇𝑠𝑦𝑠 = 0.01 50 = 0.0002(𝑠) ❖ Absolute error of T: ∆𝑇 = ∆𝑇𝑠𝑦𝑠 + ∆𝑇̅̅̅̅ = 0.0002 + 0.0002 = 0.0004(𝑠). Tài liệu được sưu tầm giúp bạn tham khảo, ôn tập và đạt kết quả cao trong kì thi sắp tới. Mời bạn đọc đón xem !

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Determination of gravitational acceleration with a reversible pendulum - Thí nghiệm vật lí | Trường Đại học Bách khoa Thành phố Hồ Chí Minh

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lOMoARcPSD|46958826

General Physics Laboratory Report

EXPERIMENT

DETERMINATION OF GRAVITATIONAL

ACCELERATION WITH A REVERSIBLE PENDULUM

Class: L05 / Group: A/Team:1

Lecturer

’

s comment

Full name:

1) Nguyễn Hồng Quân

2) Trần Anh Khoa

3) Nguyễn Trương Phước Thọ

4) Ngô Huy Dịch

5) Dương Hoàng Huy

I. Aims/Purposes:

............................................................................................................................................................

II. Method, Equipment and Procedure:

............................................................................................................................................................

III. Equations:

............................................................................................................................................................

IV. Experimental Data:

4.1 Table 1:

Weighted position (mm)

50T1 (s) 50T2 (s)

= 0 mm

83.98

83.31

+40 = 40mm

84.31

84.56

= 32 mm

84.21

84.35

lOMoARcPSD|46958826

4.2 Raw data:

4.3 Table 2: At the best position x

', physical pendulum becomes T

= T

= T:

Best position x'1 =32 (mm)

Data

50T1 (s)

(50T1)

50T2 (s)

(50T2)

1 84.17

0.0167

84.15

0.0033

2 84.2

0.0133

84.13

0.0167

3 84.19

0.0033

84.16

0.0133

Mean

84.1867

0.0111

84.1467

0.0111

V. Calculations:

5.1 Determine the oscillang period of the reversible pendulum:

❖ Random error of T:

= 50. 2 = 1.6833( )

1 (50 1+50 2)

❖ Calculate the mean period T of the re ve rsible pendulum from the values in table 2:

∆ = = 0.0002( )

❖ Systematic error of 2

50 .

(∆( 50 1 )+∆ (50 2 ))

❖ Absolute error of T:

∆ =

0.01

= 0.0002( )

∆ = ∆ + ∆ = 0.0002 + 0.0002 = 0.0004( )

5.2 Calculate the

= 9.743( 2)

= 3.14 ∆ = 0.005

gravitational acceleration:

and

=>  = 2 +  + 2 =



❖ Calculate the mean value of gravitational acceleration:

VI. Conclusions:

∆ = . = 0.0051 × 9.7529 = 0.0497( 2)

❖ Calculate the relative error of g:

∆ ∆ ∆ ∆

lOMoARcPSD|46958826

= ± ∆ = . ± . ( )

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lOMoARcPSD|46958826 lOMoARcPSD|46958826
General Physics Laboratory Report EXPERIMENT
DETERMINATION OF GRAVITATIONAL
ACCELERATION WITH A REVERSIBLE PENDULUM Class: L05 / Group: A/Team:1 Lecturer’s comment Full name:
1) Nguyễn Hồng Quân 2) Trần Anh Khoa
3) Nguyễn Trương Phước Thọ 4) Ngô Huy Dịch
5) Dương Hoàng Huy I. Aims/Purposes:
............................................................................................................................................................
............................................................................................................................................................
............................................................................................................................................................
............................................................................................................................................................
II. Method, Equipment and Procedure:
............................................................................................................................................................
............................................................................................................................................................
............................................................................................................................................................
............................................................................................................................................................ III. Equations:
............................................................................................................................................................
............................................................................................................................................................
............................................................................................................................................................
............................................................................................................................................................ IV. Experimental Data: 4.1 Table 1: Weighted position (mm) 50T1 (s) 50T2 (s) x0 = 0 mm 83.98 83.31 x0+40 = 40mm 84.31 84.56 x1 = 32 mm 84.21 84.35 lOMoARcPSD|46958826 4.2 Raw data:
4.3 Table 2: At the best position x1', physical pendulum becomes T1= T2 = T: Best position x'1 =32 (mm) Data 50T1 (s) (50T1) 50T2 (s) (50T2) 1 84.17 0.0167 84.15 0.0033 2 84.2 0.0133 84.13 0.0167 3 84.19 0.0033 84.16 0.0133 Mean 84.1867 0.0111 84.1467 0.0111 V. Calculations:
5.1 Determine the oscillating period of the reversible pendulum:
❖ Random error of T: = 50. 2 = 1.6833( ) 1 (50 1+50 2)
❖ Calculate the mean period T of the r e v e rsible pendulum from the values in table 2:
❖ Systematic error of ∆ = 2 50 . = 0.0002( ) 1 (∆( 50 1 )+∆ (50 2 ))
❖ Absolute error of T: ∆ = 0.015 = 0.0002( ) 0 ∆ = ∆
+ ∆ = 0.0002 + 0.0002 = 0.0004( ) T: 5.2 Calculate the = 4 2 2 = 9.743( 2 ) = 3.14 ∆ = 0.005
gravitational acceleration: and => ̅ = 2 + ̅ + 2 = ̅
❖ Calculate the mean value of gravitational acceleration: VI. Conclusions:
∆ = . ̅= 0.0051 × 9.7529 = 0.0497( 2)
❖ Calculate the relative error of g: ∆ ∆ ∆ ∆ lOMoARcPSD|46958826 = ± ∆ = . ± . ( )