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Important Formulae Final Exam

The document outlines important formulae related to engineering science and materials, covering topics such as pressure in gases, liquids, and solids, as well as principles of simple machines, thermal properties, basic electricity, and magnetism. Key equations include Boyle's Law, ideal gas laws, and Ohm's Law, among others. It serves as a reference for understanding fundamental concepts in engineering and physics.

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Jonathan Seejattan
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6 views2 pages

Important Formulae Final Exam

The document outlines important formulae related to engineering science and materials, covering topics such as pressure in gases, liquids, and solids, as well as principles of simple machines, thermal properties, basic electricity, and magnetism. Key equations include Boyle's Law, ideal gas laws, and Ohm's Law, among others. It serves as a reference for understanding fundamental concepts in engineering and physics.

Uploaded by

Jonathan Seejattan
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
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Download as PDF, TXT or read online on Scribd
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ENSC1011 – Engineering Science and Materials

Important Formulae

Pressure (gas) Simple Machines and Power Transmission

Boyle’s Law Mechanical advantage


𝑙𝑜𝑎𝑑
𝑃1 𝑣1 = 𝑃2 𝑣2 𝑀𝐴 =
𝑒𝑓𝑓𝑜𝑟𝑡
Ideal Gas Laws
Velocity ratio
𝑃𝑉 = 𝑚𝑅𝑇
𝑑𝑖𝑠𝑡𝑎𝑛𝑐𝑒 𝑚𝑜𝑣𝑒𝑑 𝑏𝑦 𝑒𝑓𝑓𝑜𝑟𝑡
P – pressure 𝑉𝑅 =
𝑑𝑖𝑠𝑡𝑎𝑛𝑐𝑒 𝑚𝑜𝑣𝑒𝑑 𝑏𝑦 𝑙𝑎𝑜𝑑
V – volume Efficiency
m - mass 𝑀𝐴
𝜀=
R – gas constant 𝑉𝑅

T - temperature Pulleys

Pressure (liquids) Down Up

𝑃 = 𝜌𝑔ℎ VR = # of pulleys VR = # of pulleys + 1

𝜌 – density
g – gravity Thermal Properties of Matter

h – height Linear expansion of solids

Pressure (solids) ∆𝐿 = 𝐿 𝛼𝐿 ∆𝑇

𝐹 ∆L – change in length
𝑃=
𝐴 L – initial length
F – force 𝛼𝐿 – linear coefficient of thermal expansion
A – area ∆T – change in temperature
Sensible heat
Force, work, power, energy ∆𝑄 = 𝑚𝑐∆𝑇
Potential energy ∆Q – heat change
𝑃𝐸 = 𝑚𝑔ℎ m – mass
m – mass c – specific heat capacity
g – gravity ∆T – change in temperature
h – height (Final temp – Initial temp)
Kinetic energy Latent heat
1
𝐾𝐸 = 𝑚𝑣 2 ∆𝑄 = 𝑚𝐿
2
∆Q – heat change
m – mass
m – mass
v – velocity
L – latent heat
ENSC1011 – Engineering Science and Materials

Basic Electricity
Resistors in series: (current constant)
𝑅𝑇 = 𝑅1 + 𝑅2 + 𝑅3
Resistors in parallel: (voltage constant)
1 1 1 1
= + +
𝑅𝑇 𝑅1 𝑅2 𝑅3
Ohm’s Law
𝑉= 𝐼𝑥𝑅
V – Voltage
I – Current
R – Resistance
Power
𝑃= 𝑉𝐼
𝑉2
𝑃=
𝑅
𝑉 = 𝐼2 𝑅
P – Power

Magnetism and electromagnetism


Transformers
𝑁𝑃 𝑉𝑃 𝐼𝑆
= =
𝑁𝑆 𝑉𝑆 𝐼𝑃
Np – number of primary turns
Ns – number of secondary turns
Vp – primary voltage
Vs – secondary voltage
Ip – primary current
Is – secondary current

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