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...
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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