Texas instruments CBR User Manual

CBR™

5

T

EX

CBR

AS

I

NSTRUME

)

NT

)

S

TRIGGER

85-86

92

T

EX

CBR

AS

I

NSTRUME

)

NT

)

S

TRIGGER

85-86

92

Texas Instruments

Calculator-Based Ranger™ (CBR™)

CBR

4 AA

Texas Instruments

Incorporated

Texas Instruments Incorporated, 7800 Banner Dr, M/S 3918, Manager, Business Services.

Texas Instruments

Dallas, TX 75251, Attention:

T

EX

CBR

AS

I

NSTRUME

)

NT

)

S

TRIGGER

85-86

92

CBR 2

CBR

( 1 13

( 2 17

( 3 21

( 4 25

( 5 29

1 2 3 4

33

6

CBR 37

RANGER

CBR

CBL CBL 39

38

40

42

43

44

RANGER

TI

CBR 1

CBR

CBR TI

CBR

TM

(Calculator-Based RangerTM)

TI-82 TI-83 TI-85/CBL TI-86 TI-92

RANGER

2 CBR

CBR

32

TM

CBR

13-

TI

CBR

¤

200 0.5

6 1.5 18

T

EX

CBR

AS

I

NSTRUME

)

NT

)

S

TRIGGER

CBL

85-86

92

2.25 7.5

TI

CBR TI

CBR

CBR RANGER 4 AA 5

RANGER

TI

CBR 3

CBR 1 2 3

CBR

1

2

CBR CBR

TI

CBR RANGER CBR

TI-82 TI-83 TI-85/CBL TI-86 TI-92

Ÿ ¥ d › Ÿ ¥ ¡

CBR CBR

4 CBR

RECEIVING TI-92

CBR CBR DONE

CBR CBR

RANGER CBR

17,500

TI-Graph Link™

CBR

TI

CBR 1 2 3

3

RANGER

TI-82 TI-83 TI-85/CBL TI-86 TI-92

^ ^ A Ÿ [VAR-LINK]

RANGER RANGER RANGER

› › ¨ ›

›

MAIN MENU

SETUP/SAMPLE ➞ SET DEFAULTS ➞ APPLICATIONS ➞ PLOT MENU ➞ TOOLS ➞ CBR

QUIT

SET DEFAULTS SETUP › START

NOW

›

CBR TI

CBR

QUIT RANGER QUIT RANGER

CBR CBR

CBR

TI

CBR 5

CBR

CBR CBR

L1 L2 L3 L4

CBR

❶ REALTIME = NO RANGER ❷ L1 L2 L3

L3n=

+ L2n)/2 - (L2n+ L2

n+1

L1

- L1

n+1

n

n-1

)/2

(L2

❸ L3 L1

L4

CBR 5

CBR CBR CBR 0.5 1.5

CBR CBR

0.5

12 6 6

CBR CBR 6 19

6 CBR

TI

CBR 10°

CBR

CBR CBR

TI

CBR 7

RANGER

TIME 1 99

REALTIME = YES TIME 15

TIME CBR TIME = 1 CBR

1.75 5.5

RANGER SETUP

BEGIN ON: [ENTER] ›

BEGIN ON: [TRIGGER] CBR CBR ¤

CBR CBR

CBR ¤ CBR ›

BEGIN ON: [TRIGGER] REALTIME = YES

MATCH

BEGIN ON: DELAY › 10

(Trigger)

¤

¤ BEGIN ON: [ENTER] BEGIN ON: DELAY

REALTIME = NO ¤

TOOLS GET CBR DATA

PLOT MENU REPEAT SAMPLE SETUP START NOW

8 CBR

TI

RANGER

LIGHT

SETUP

38

REALTIME=NO

CBR PLOT MENU PLOT TOOLS SMOOTH DATA

CBR

CBR REALTIME = NO REALTIME = YES

7

CBR 0.5

CBR

REALTIME = YES

DISTANCE MATCH VELOCITY MATCH BALL BOUNCE

REALTIME = NO

40-41

TI

CBR 9

REALTIME=YES

REALTIME=YES CBR

RANGER

RANGER 0.125

REALTIME=NO

REALTIME=YES

0.080

9

CBR 11

REALTIME=NO CBR

0.005

CBR CBR

CBR

RANGER TOOLS TOOLS GET CBR DATA

TI

11

10 CBR

TI

CBR

CBR SETUP

REALTIME=NO

BEGIN ON=[TRIGGER]

CBR RANGER

CBR REALTIME=NO

❶ RANGER ❷ REALTIME=NO CBR ❸ CBR CBR ❹ RANGER TOOLS TOOLS GET CBR DATA

TRANSFERRING

❺ › PLOT MENU QUIT ➏ RANGER MAIN

MENU

TOOLS TOOLS GET CALC DATA

› L1 L2 L3 L4 L5

❼ CBR

PLOT MENU RANGER

RANGER

TI-85 RANGER LINK

TI

CBR 11

RANGER

GRAPH

TRACE

RANGER

TRACE TRACE TI-85

RANGER

Y =

RANGER

L1 L2 Plot2 L1 L3

TI-Graph Link

CBR RANGER

œ

RANGER QUIT Plot1

CBR CBL RANGER

CBR CBL 39

36

40-41

12 CBR

TI

MATCH

1

1. 1 CBR 1

2. y

3.

4. CBR

5. CBR

6. y

7. y/3.3

8. y/1

✔

✔ CBR ✔

TI ViewScreen™

TI ViewScreen

CBR

6-12

9.

10.

11.

12.

13. 3 1.5

14. 0.5 1

0.5 1 x 60 1 =

30

30 1 x 60 1 =

1800

1800 1 x 1 1000

= 0.18

96 60

15. ∆y

TI

CBR 13

1

❶ CBR

CBR 4 12 0.5 1.5

7

❷ RANGER 5

❸ APPLICATIONS METERS ❹ APPLICATIONS DISTANCE MATCH DISTANCE MATCH

❺ › 1 2 ➏ ›

❼ ➑ 3 ➒ › OPTIONS SAME MATCH

4 5 6

14 CBR

TI

1

DISTANCE MATCH

❶ › OPTIONS NEW MATCH 7 8 ❷ 9 10 ❸ › ❹ 11 12 ❺ › OPTIONS NEW MATCH ❻ 13 14 15 ❼ › OPTIONS QUIT

RANGER

DISTANCE MATCH VELOCITY MATCH

MATCH 36

TI

CBR 15

1

1. x

y

2. CBR

3.

4.

5.

6.

7.

8. 1 1

9.

10.

11.

12.

13.

14. 13

15.

16 CBR

TI

✔ ✔ CBR ✔ ✔ ✔ TI ViewScreen

2

1.

2. TRACE

6-12

(v=0)

3.

4.

5. m

m

6. b y y = 2x + 0

7.

= 20

(y = 2 x 10 + 0) 1 y =

m = 2 10 (y)

120

t1t

2

a = 0

a =

∆t=0

TI

∆v ∆t

F=ma

s t1t

t

2

s = ∫vdt

t

1

2

CBR 17

2

❶ CBR 0.5 1.5 CBR CBR

7

❷ 1 ❸ RANGER 5 ❹ SETUP/SAMPLE

REALTIME: NO

TIME(s): 5 SECONDS

DISPLAY: DISTANCE

BEGIN ON: [ENTER]

SMOOTHING: LIGHT

UNITS: METERS

38

❺ START NOW ➏ ›

TRANSFERRING

❼ ➑ 1

18 CBR

TI

2

❶ 2 x

y

0.957 1.01

1

❷ 3 4 ❸ 1.5 1

1.5 ∆

❹ y = mx + b m

∆ ∆

y b

m 2

❺ 5 6 7

t1t

2

= v∆t = v(t

2

–

2

–

2

- t1)

1

y2- y

x2- x

1

x

TI

CBR 19

2 ____________

1.

2. m

1 xxx xxx xxx

1.5 2

2.5 3

3.5 4

4.5 5

3.

4.

5. = 2 = 4 ∆ ∆

m

6. y = mx + b b

m b y = mx + b

7. 10

1

20 CBR

TI

✔ ✔ CBR ✔ CBR ✔ ✔ ✔ ✔ ✔ TI ViewScreen

3

1.

2.

3. T = 10 10

4. 2 4

≥ 5

6-12

(SHM) SHM

T

A

T

L

√

_

g

T = 2π

L g T

5. x

6. 10

7. 5 =

8. ƒ = 1/T T

9.

L

10. A = 1 1/4

11.

12.

ƒ

ƒ =1—

T

ƒ (Hz) T

TI

13.

14. T L g

L2 L3

CBR 21

3

❶ CBR

CBR 0.5 1.5

7

❷ CBR 1

2

❸

3 4

❹ RANGER 5

CBR MAIN MENU SETUP/SAMPLE

❺ ›

REALTIME: NO

TIME(S): 10 SECONDS

DISPLAY: DISTANCE

BEGIN ON: [ENTER]

SMOOTHING: LIGHT

UNITS: METERS

➏ ❼ ›

TRANSFERRING

38 START NOW

22 CBR

➑ 5

TI

3

2

MAIN MENU SETUP/SAMPLE SETUP 10 5

6 7

7

ƒ =1—

T ƒ (Hz)

T

8

3 4

5 9

2 10

5

PLOT MENU VELOCITY-TIME 11 12 13

6

14

S = A sin (wt + ) S A

w t w T w = 2 /T

A w Y= L1 L2

A w TI-83 TI-86

L2 L3

TI

CBR 23

1. CBR

2.

3.

4. 2

5.

1

3

6.

7.

8.

9.

10.

11.

12.

13.

5 10

14.

24 CBR

TI

4

2.

y = 0

3. CBR

BALL BOUNCE

A

✔ ✔ CBR ✔ CBR ✔ 9 ✔ TI ViewScreen

¤

Y = A(X-H)2+ K

6-12

CBR

y=0 CBR

4. x

7. A = 1

8. A < -1

9.

12. A

A

y = hp

x

y

h

p

x

A

-9.8

2

-32

2

A -4.9

2

-16

2

1.

TI

x = 0 y = h y

PLOT TOOLS SELECT

DOMAIN

MAIN MENU

QUIT L1 L2

CBR 25

❶

4

CBR 0.5 1.5

7

❷ RANGER 5 ❸ APPLICATIONS METERS FEET ❹ APPLICATIONS BALL BOUNCE BALL BOUNCE

❺ › RANGER TRIGGER CBR

➏ ¤ CBR

CBR

❼ ›

1 2

➑ BALL BOUNCE 3 4

26 CBR

TI

GRAPH

4

❶ › PLOT MENU PLOT TOOLS SELECT DOMAIN

›

❷ TRACE 5 ❸ › PLOT MENU MAIN MENU QUIT ❹ Y = A (X - H )

2

+ K œ Y=

Yn = A* (X - H )^2 + K

❺ Home 5 K H

1 A

➏ 6 7 ❼ A = 2 0 -1 8 9 ➑ A 8 A ❾ 10 11 12

❶ ❷ ❸ ❹

TI

CBR 27

4

1. x

y

2.

3. BALL BOUNCE

4.

5.

6. A = 1

7.

8.

9. A

A

A Yn

1

2

0

-1

10.

11. A

12. A

A

28 CBR

TI

5

✔ ✔ CBR ✔ CBR ✔ ✔ 9 ✔ 2 6

y = ax2+ bx + c

3.

4.

5.

6.

7. 0° 90°

s = 1/2 at 2+ vit + s

i

s t

✔ ✔ ✔ TI ViewScreen

6-12

a

v

i

s

i

y = ax2+ bx + c

c b 2a y x CBR

b c 0.5

1.5 a

y = ax2+ bx + c

b c

L1 L2

= 90° a = 0° a

a

1.

2. CBR

TI

CBR 29

5

❶ 1 15°

CBR CBR

CBR 0.5 1.5

7

❷ RANGER 5 MAIN MENU SETUP/SAMPLE ❸ ›

REALTIME: NO

TIME(S): 3 SECONDS

DISPLAY: DISTANCE

BEGIN ON: [ENTER]

SMOOTHING: LIGHT

UNITS: METERS

38

❹ START NOW › ❺ ➏ 2 3 ❼ › PLOT MENU PLOT TOOLS SELECT DOMAIN

› ›

4 5

30 CBR

TI

5

❶ 6 ❷ 30¡ 2 6 6 30° ❸ 45¡ 60¡ 2 6 ❹ 7

x = 0

x L1(1)→A L1-A→L1

❶ 0¡ 15¡ 30¡ 45¡ 60¡ 90¡

y = ax2+ bx + c

a b c

❷ a ❸ a

TI

CBR 31

1.

2. x

5

y

3.

4.

5. 1 3

6.

7. 0¡ 90¡

32 CBR

TI

CBR

y x

AX2+ BX + C

RANGER REALTIME=NO

TI

CBR 33

CBR

RANGER

x

2 2

Y=

CBR y x

CBR CBR y

x

CBR

6

CBR CBR

CBR

34 CBR

TI

V

average

d

2

d

1

=

∆

t

1 t2

d=d2– d t t2– t

1

=

1

V

instantaneous

v v

A

average

A

instantaneous

t

1

∆d =

1

2

=

(

lim ∆d

=

∆

t➞0

t

∆

v=v2– v

∆

t t2– t

lim ∆v = dv

=

∆

t➞0

t

2

t=2

v(∆t)

Σ

t=1

=

()

∆

tdt

1 t2

1

=

1

()

∆

tdt

∆d =

)

d(s)

t=2

v(dt)

∫

t=1

s =

= ∆d = (d2-d1) = t

t

2

1

∆t

t

1 t2

TI

CBR 35

education.ti.com

CBR CBL TI

CBR CBR

CBR

Texas Instruments TI

CBR

36 CBR

TI

CBR

TIME= NO

L1 L2 L3 L4

CBR RANGER

L1

L2

L3

L4

L1 5 5 L2 5 5

REALTIME= YES REAL-

L5

RANGER SETUP CBR 38

CBR RANGER L5

40-41

RANGER

RANGER RANGER

TI

CBR 37

RANGER

❶ RANGER MAIN MENU SETUP/SAMPLE

MAIN MENU START NOW

REALTIME: ➞ YES or NO

TIME (s): ➞ TOTAL TIME = 1-99 SECONDS (REALTIME=NO only) DISPLAY: ➞ DISTANCE, VELOCITY, or ACCELERATION

BEGIN ON: ➞ [ENTER], [TRIGGER], or 10-SECOND DELAY

SMOOTHING: ➞ NONE, LIGHT, MEDIUM, or HEAVY

UNITS: ➞ METERS or FEET

❷ c b ❸ › c

1 2 c b

❹ c b START NOW

›

e › MAIN MENU

SET DEFAULTS

RANGER L5 L5 RANGER

RANGER

❶ RANGER MAIN MENU SET DEFAULTS

SETUP

❷ ❸ START NOW ›

RANGER

RANGER CBR

38 CBR

40-41

TI

CBR CBL CBL

CBR CBL

CBR Texas Instruments CBL™ (Calculator-Based Laboratory™)

SONIC

CBR CBL

CBR CBR CBL CBL

CBL RANGER CBL

CBL CBR

CBL REALTIME=YES CBR

CBR ¤

CBL {6,0} CBR

{6,0}➞L6:SEND L6

{6,3}➞L6:SEND L6

RANGER

CBL CBR RANGER

TI 36 CBL

CBL {6,3} CBR

TI

CBR 39

0 {0}

11

1 {1,0}

1 {1,11, , ,0, }

0 (REALTIME=NO) 1 (REALTIME=NO) 2 (REALTIME=NO) 3 (REALTIME=NO)

0 (REALTIME=YES)

1 (REALTIME=YES) CBR ∆ 2 (REALTIME=YES) CBR ∆ 3 (REALTIME=YES) CBR ∆ 4 (REALTIME=YES) CBR ∆ 5 (REALTIME=YES) CBR ∆ 6 (REALTIME=YES) CBR ∆ 7 (REALTIME=YES) CBR ∆

0 1 (REALTIME=NO) d/dt 2 (REALTIME=NO) d2/dt

2

0 1

2 {2, ,0,0,0,0,0,0,0}

1

3 {3, , , ,0,0,0,0, , }

0.005-1500(0.1)

0.0001-0.005 0.005 1500<x<16000 1500

-1 REALTIME=YES 1-512 (REALTIME=NO) 1 512

0 1 ¤ 7 10

0 1 (REALTIME=NO) 0 2 (REALTIME=NO) 0

1 0 1 (REALTIME=NO) 5 Savitzsky-Golay 2 (REALTIME=NO) 9 Savitzsky-Golay 3 (REALTIME=NO) 17 Savitzsky-Golay 4 (REALTIME=NO) 29 Savitzsky-Golay 5 (REALTIME=NO) 3 6 (REALTIME=NO) 5 7 (REALTIME=YES) REALTIME=YES 8 (REALTIME=YES) REALTIME=YES 9 (REALTIME=YES) REALTIME=YES

40 CBR

TI

4 {4, #, , , }

#

0 4 4

0 13

0 CBR T 1 2 3 4 R=F+459.7

5 (REALTIME=NO) {5, , , , }

0 1, 2, 3, 11, 21

-1

0 1 d/dt 2 d2/dt

2

3 4 d/dt 5 d2/dt

2

1-512 GET

0-512 GET 0

6 {6, [, ]}

0 CBL 2 3 4 5 ID 6

n.nnnnn ID 5

0-6 6

7 {7}

10.rrrr ROM 0-99 0 0-2 0 OK 1 2 11

(1-9)

(0-2)

(0-9)

0-512 REALTIME=NO -1 REALTIME=YES

(0-2)

ID 6 6 ID 0.00000 5

TI

0 1 1 2 3 4 0 5 1-512 0 1-512

CBR 41

CBR 4 AA CBL CBR

RANGER

CBR CBR

CBR

RANGER

CBR

MAIN MENU TOOLS CBR STATUS

OK REPLACE

CBR

42 CBR

TI

CBR

TRACE

ON

CBR

RANGER

CBR

42

¤ CBR ¤

¤

CBR RANGER QUIT

CBR CBL

¤

LINK ERROR

MATCH

CBR CBR

CBR

QUIT

RANGER

17,500

CBR TI

DISTANCE

TI-83 DIST MATCH

CBR

6-12

CBR

42

CBR TI-85

CBR

RANGER

TI-92

TI

"CBL"

CBL CBR

TI-85

CBR RANGER QUIT

CBR CBL CBR

RANGER

L1 L2 L3 L4 L5

CBR 43

TI

TI TI TI

ti-cares@ti.com

education.ti.com

44 CBR

TI

RANGER

MAIN MENU

SETUP / SAMPLE

SET DEFAULTS

NO YES

1-99 (REALTIME=NO)

DISTANCE VELOCITY ACCELERATION

[ENTER] [TRIGGER] DELAY

NONE LIGHT MEDIUM HEAVY

APPLICATIONS

REALTIME=NO

PLOT MENU

REALTIME=YES

APPLICATIONS

UNITS METERS FEET

DISTANCE - TIME VELOCITY - TIME ACCELERATION - TIME PLOT TOOLS REPEAT SAMPLE MAIN MENU QUIT

SHOW PLOT SELECT DOMAIN REPEAT SAMPLE MAIN MENU QUIT

DISTANCE MATCH VELOCITY MATCH BALL BOUNCE MAIN MENU

PLOT TOOLS SELECT DOMAIN SMOOTH DATA PLOT MENU

DA

TA SMOOTHING LIGHT MEDIUM HEAVY NONE

METERS FEET

OPTIONS SAME MATCH NEW MATCH APPLICATIONS MAIN MENU QUIT

TOOLS GET CBR DATA GET CALC DATA

TOOLS

CBR STATUS STOP/CLEAR CBR MAIN MENU

QUIT

TI

CBR

Texas instruments CBR User Manual [zh]

Specifications and Main Features

Frequently Asked Questions

User Manual