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UTA / Engineering / ENGR 1300 / What are the types of dimensions?

What are the types of dimensions? Description

Description: These are short summary notes over all of the lessons covered for the exam. All the formulas, topics, and definitions that you need are provided here. Anything written in red with a star next to it is important information that you should have memorized for the exam. I selected all of the valuable information included for each lesson in the textbook and formatted it in a way for you to quickly and
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What are the types of dimensions?

Exam Review #

1.1. Be able to understand Scientific notatione

engineering notation, significant figures 21-75 Ex: Standard scientific Enginering w/Prefix a are very

43,480,000 4.348 X 10' 43.48 x 106 43.48 More a simple & you a Shouldnt Engineering notation ### ### x10^- must bean & Spend much

What are the function of scientific notations?

Interger multiple of 3. time revienanal

these 17.2. Know types of dimensions

7.3. know how to do simple conuersions 7.4 Multi-step conuersions 17.5 : Converting volume, length, etc. Don't forget about the age old question of What is current cure for schizophrenia?

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7.6. Denued Dimensions

What are the equation laws?

Ex. Velocity = Distance = Moters =

Time sel Example: Determine dimensions of (a) Ibon

solution: (a) Iban mass.

\$43 ft 3 = length?

- Length

-time (1) slug

23

(b)

(c)

slug = lbm - mass. h hours

La liters. IL = 0.0353 ft 3

Therefore ft3 = L3 min T

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= atm L

: DRT. What are the dimensions? n= mol Don't forget about the age old question of What are the roles of advertising?
We also discuss several other topics like What is the human leukocyte antigen complex?

mot) am .L .x IR = aim L/molok

mot. K Te tempink L= ft2 = L2 ?

atm- kolmsa = MILTO

Stue Don't forget about the age old question of What are the three main classes of membrane proteins?

L2M . This is equinaunt to energy

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11 Equation s.

plus Law: anything added or subtracted in an equation

must Kale Carme dimensions unit law Every team in equation must have same

units so addition & subtraction can becamed out I fer law. Dimensions & units are treated wisame

operation rules if they were added or divided c Examples : check the dimensions of time a distancias distances

05.queleration A Disnegaid(a) See = /m-m » I 0.5 sinu no We also discuss several other topics like What did the earliest ocean look like on earth?

units

V . I T=JT 2

T=TV Dimensionally ci mect 2. Where v= ft/s

PE=J Haft

sp=91cm2 units slf.f > f = 1kqma

m

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Ub If you want to learn more check out How does language influence our perception of others?

Plug in

sa

-

sa

ft -

kamp.com

cm3

sa

ft g

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7.8 : Comunions within Equations

Simply be able to conuer an equation comectly so

all the units can canul out Ex km - km.h h

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16.1: Fore.

# F = ma

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sa

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Eldbollene 18.2. Weight

A W = mog Weight is a force

g= 9.50 misa on Earth Mass is fixed weight depends on the gravitational fone "gli or the planet you are on.

kg misa

dyso

A

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Example?

8.3 Density

m -mass

X = (2-weight - volume

- volume Speutic

Weight inen volume of 55 gals Density = 19 l What's

the weight at the H or in lbs / cm3 0 = M 19 - 14 Mass = 2083339. 55901 L ime tam 12083330m3

1 10264784 1032 Inak To wa mig W- 208333 kg Isomes o N 102a51bf 4600

W= 204 19 N

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V

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A

Element #

B. 4 Amount

M m grams (mass)

n - mols molecurar

Element #1

# of x atomic QUDIOS mass of

element

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#atoms

• Atpam I mass

mou

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& etc

8.5. temperature

*

F = 9 [C] +32

co-ScFo-3a).

h = Co+273

R = Four 460 These are used to CONVERTI wed only for a SA 100 = lof Fox 1°C = temperature & 1 R = FO

CHANGE

1k

goc

Example: specific heat is 0.385 J Express this in

16m Fo T0 0.385 J 1 102 g Kali Q.

qua Ilg T2.205.16m 1.80 F 8. () - PreAJO

97

☆ P = (Pa)

E fone A area

Labsolute

o

Patmosphene

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# Hydrostatic

Pressure (P Hydro

heigh tom) : Density 9.80 mis ?

To Ptotal = P surface & Prydro

I total = p surface t op.it

ou

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Example:

Su = 0.75

in atm?

lepth =3m What's the total pressure

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0 sowe for Density

Sh2 labi 0.75

SHO

Laby

pobj =

20.

0.15g

Lqlim3 T

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Vuuri

3 Formula

Ptotal & Psurface + palt assume Psurface - I atm & sole for p Hydro in atm

= 10.75g 19.8om

L cm3

Sa A some in Pa then convert to atm.

Ira = Kg 0.759 1 kg lem? z 750

msa cm3 1 103 9 100m Phyd = 1750kg 89.som ny - 22650 pa

Imel sol 0 22050 Ral atm = 0.2176 atm

1101325 pa 6 Ptol = larm & 0.2176atm.

= 1.218 atm

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18.7 has pressure

+ PD=ORTI

2

8314 Pal

moll

on 0.08206 artma

molk

atm

2

mol

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Examples hillen 8L of Ng (Formula weight = 289/mol

I a a pressure of 1.5 atm at 310k.

If pressure increases 5 atm, What's the new vulin L2 Pressure increases, so the volume must derrease.

O Analyze.

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12 plug in known

Pv=nRT 4.5) (8) = n(0.08206) (310) (0.08206)(210) 0 2106-310

n= 0.4710 0 Solue for new volume

Ru=ART

V = 10.471260.08206 (310)

(5 atm - new pressure V= 2.45 L

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18.8 Energy

A

PE = mgaH

& & E=

I mva was

HONO

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* WEAX

- I Distance * Q = m (CDAT Thermal specifics

& Eneray is in

Joules

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B. 9 Power & P = &- Energy

- time power

units

for P = Watts [w]

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v sou

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8.10 Efficienu i n = Pout & Pin = Ploss & Pout

Pin to thout = Quantity needed to operate mechanism The output = Quantity actually applied to task TA 2050 = Quantity wasted during application

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Wheneuer you are given the "rating" in a problem,

that's is the Pin. Examples . (a) Ginen Pin = loow. How long inh

must 300,000 J be transfe me dit

the process is 80 Efficient o we know

P = and we are asked for "+" The

t appropriate formula is

coup t = & © We are willen Energy (300,000 3)

We must some for power [W] 6 Pin= 100W n = Pout Pin

n = 80%

Pin Pin Pout = ?

Pout= 10.80) Coow)

Pout = 80W 14 t = {

Pout oup

t= 300,000 - 3750 sec Ihr 1.04h

Sow

136oosec (b) hinen m = 50 kg, raised 5m in sosec

what's the minimum Wat tage (Power)

of the motor ginen it's so 10 efticient we must calculate Energy, It's potential since

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2450

Jones

0

PE=moa AH "PE=50kg 9.80m. 5m

) sa Joue for Pout ginen time

Pout - & - 9450

Solec

49 W

V sou

13 sine

n =

then

pin = Pout

lout Pin

n

Pin -

496

61.25 W

Stue

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