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Summary Engineering and Physics Interview Questions - Formula Derivation
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  • Course
  • Physics Aptitude Test
  • Institution
  • University Of Oxford

This document includes the derivation of the most important formulas in the IB, AP and A-Level Physics syllabus. Knowing the process of justifying and deriving the formulas can help you cope with Physics Aptitude Test questions. Moreover, if you are applying to read engineering or physics, the adm...

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Document information

  • April 12, 2021
  • 13
  • 2020/2021
  • Summary

Subjects

  • physics
  • engineering
  • interview
  • oxbridge interview
  • physics aptitude test
  • interview questions
  • admission interview
  • formula
  • a level
  • advanced placement
  • oxford
  • imperial college london
  • ap
  • ib

Written for

  • University of Oxford
  • University of Oxford
  • Physics Aptitude Test
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FORMULA DERIVATION FOR
ENGINEERING & PHYSICS
INTRVIEW




Songyue Wang
service@swansee.com

, Formula Derivation for Engineering & Physics Interview

written by Songyue Wang

Simple Harmonic Motion

Displacement

x = x0 sin(ωt )

Velocity

dx
v
= = ω x0 cos(ωt )
dt
Acceleration

dv
a= ω 2 x0 (− sin(ωt )) =
= −ω 2 x
dt
Maximum velocity

v = ω x0 cos(ωt )
when cos(ωt ) = 1
vmax = ω x0

Another equation for velocity

= 0 sin(ω t ) and v
x x= ω x0 cos(ωt )
x v
= sin(
= ωt ) and cos(ωt )
x0 ω x0
x 2 v 2
( ) +( ) =
1
x0 ω x0
ω 2 x2 + v2 =
ω 2 x0 2
=v 2 ω 2 ( x0 2 − x 2 )
=v ω x0 2 − x 2

Period of mass-spring system (horizontal)

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