Engineering Formula Sheet

200715

Engineering

Formula sheet

Engineering 2019 v1.1

Formula sheet Queensland Curriculum & Assessment Authority

Page 2 of 4

Formulas — Statics

𝑐𝑐² = 𝑎𝑎²+𝑏𝑏² 𝐹𝐹_𝐻𝐻 = 𝐹𝐹 𝑐𝑐𝑐𝑐𝑐𝑐 𝜃𝜃

𝑐𝑐𝑠𝑠𝑠𝑠 𝜃𝜃= 𝑐𝑐𝑜𝑜𝑜𝑜𝑐𝑐𝑐𝑐𝑠𝑠𝑜𝑜𝑜𝑜

ℎ𝑦𝑦𝑜𝑜𝑐𝑐𝑜𝑜𝑜𝑜𝑠𝑠𝑦𝑦𝑐𝑐𝑜𝑜 𝐹𝐹_𝑉𝑉 =𝐹𝐹 𝑐𝑐𝑠𝑠𝑠𝑠 𝜃𝜃

𝑐𝑐𝑐𝑐𝑐𝑐 𝜃𝜃= 𝑎𝑎𝑎𝑎𝑎𝑎𝑎𝑎𝑐𝑐𝑜𝑜𝑠𝑠𝑜𝑜

ℎ𝑦𝑦𝑜𝑜𝑐𝑐𝑜𝑜𝑜𝑜𝑠𝑠𝑦𝑦𝑐𝑐𝑜𝑜 𝐹𝐹_𝑇𝑇 =�𝐹𝐹_𝐻𝐻² +𝐹𝐹_𝑉𝑉²

𝑜𝑜𝑎𝑎𝑠𝑠 𝜃𝜃= 𝑐𝑐𝑜𝑜𝑜𝑜𝑐𝑐𝑐𝑐𝑠𝑠𝑜𝑜𝑜𝑜

𝑎𝑎𝑎𝑎𝑎𝑎𝑎𝑎𝑐𝑐𝑜𝑜𝑠𝑠𝑜𝑜 𝑜𝑜𝑎𝑎𝑠𝑠 𝜃𝜃 = 𝐹𝐹_𝑉𝑉

𝐹𝐹𝐻𝐻

𝑀𝑀 =𝐹𝐹𝑎𝑎 𝑀𝑀_𝑇𝑇 =𝑀𝑀₁ +𝑀𝑀₂+𝑀𝑀₃+⋯

Formulas — Materials

𝑎𝑎𝑜𝑜𝑠𝑠𝑐𝑐𝑠𝑠𝑜𝑜𝑦𝑦 = 𝑚𝑚𝑎𝑎𝑐𝑐𝑐𝑐

𝑣𝑣𝑐𝑐𝑣𝑣𝑦𝑦𝑚𝑚𝑜𝑜 𝐸𝐸 = 𝑃𝑃𝑃𝑃

𝐴𝐴∆𝑃𝑃 =𝜎𝜎 𝜀𝜀 𝜎𝜎=𝑃𝑃

𝐴𝐴 ^{𝑓𝑓𝑐𝑐𝑐𝑐=}

𝑦𝑦𝑠𝑠𝑜𝑜𝑣𝑣𝑎𝑎 𝑐𝑐𝑜𝑜𝑠𝑠𝑜𝑜𝑐𝑐𝑐𝑐

𝑎𝑎𝑣𝑣𝑣𝑣𝑐𝑐𝑎𝑎𝑎𝑎𝑏𝑏𝑣𝑣𝑜𝑜 𝑎𝑎𝑐𝑐𝑠𝑠𝑤𝑤𝑠𝑠𝑠𝑠𝑤𝑤 𝑐𝑐𝑜𝑜𝑠𝑠𝑜𝑜𝑐𝑐𝑐𝑐 𝜀𝜀 =∆𝑃𝑃

𝑃𝑃 ^{𝑈𝑈𝑈𝑈𝑈𝑈=}

𝑚𝑚𝑎𝑎𝑚𝑚𝑠𝑠𝑚𝑚𝑦𝑦𝑚𝑚 𝑣𝑣𝑐𝑐𝑎𝑎𝑎𝑎

𝑐𝑐𝑠𝑠𝑠𝑠𝑤𝑤𝑠𝑠𝑠𝑠𝑎𝑎𝑣𝑣 𝑐𝑐𝑠𝑠𝑐𝑐𝑐𝑐𝑐𝑐 ˗𝑐𝑐𝑜𝑜𝑐𝑐𝑜𝑜𝑠𝑠𝑐𝑐𝑠𝑠𝑎𝑎𝑣𝑣 𝑎𝑎𝑠𝑠𝑜𝑜𝑎𝑎

Formulas — Dynamics

𝐹𝐹= 𝑚𝑚𝑎𝑎 𝑊𝑊 = 𝐹𝐹 𝑎𝑎 𝑃𝑃= 𝑊𝑊

𝑜𝑜 𝑀𝑀𝐴𝐴= 𝐹𝐹_𝐿𝐿

𝐹𝐹_𝐸𝐸 𝑉𝑉𝑉𝑉= 𝑎𝑎𝐸𝐸

𝑎𝑎_𝐿𝐿 𝜂𝜂 =𝑀𝑀𝐴𝐴

𝑉𝑉𝑉𝑉 𝑣𝑣_{𝑎𝑎𝑎𝑎} =𝑐𝑐

𝑜𝑜 𝑎𝑎 =𝑣𝑣 − 𝑦𝑦

𝑜𝑜 𝑣𝑣= 𝑦𝑦+𝑎𝑎𝑜𝑜

𝑣𝑣² =𝑦𝑦²+ 2𝑎𝑎𝑐𝑐 𝑐𝑐 =𝑦𝑦𝑜𝑜+1

2𝑎𝑎𝑜𝑜² 𝜇𝜇_𝑠𝑠 = tan𝜃𝜃

𝐹𝐹_𝑓𝑓= μ𝐹𝐹_𝑁𝑁 𝐹𝐹_𝑓𝑓= 𝜇𝜇_𝑠𝑠𝐹𝐹_𝑁𝑁 𝐹𝐹_𝑓𝑓= 𝜇𝜇_𝑘𝑘𝐹𝐹_𝑁𝑁

𝐾𝐾𝐸𝐸= 1

2𝑚𝑚𝑣𝑣² 𝑃𝑃𝐸𝐸 = 𝑚𝑚𝑤𝑤ℎ

Engineering 2019 v1.1

Formula sheet Queensland Curriculum & Assessment Authority

Page 3 of 4

Formulas — Electrical circuits

𝑉𝑉 =𝐼𝐼𝑉𝑉 𝐸𝐸 = 𝑃𝑃𝑜𝑜

𝑃𝑃= 𝑉𝑉𝐼𝐼

Constant — Acceleration due to gravity

𝑤𝑤= 9.8 𝑚𝑚𝑐𝑐⁻²

Unit prefixes

Ratio to basic unit Prefix Abbreviation

10³ kilo k

10⁶ mega M

10⁹ giga G

10¹² tera T

10^-1 deci d

10^-2 centi c

10^-3 milli m

Standard symbols — Electric circuits

Standard symbols — Logic gate

Engineering 2019 v1.1

Formula sheet Queensland Curriculum & Assessment Authority

Page 4 of 4

Standard symbols — Flow chart