© 2016 IOP Publishing Ltd 1
1. Introduction
There are numerous publications in the literature
in which the use of smartphones and speciically
the iPhone (Apple Inc) have been used as an aid to
teaching physics [1–12]. The iPhone is particularly
suitable for mechanics experiments using the in-built
acceleration sensor or accelerometer in-conjunction
with the on-board data collection facility and a
downloadable so-called ‘app’. Vogt and Kuhn have
reviewed the use of acceleration sensors of smart-
phones [13–24] and speciically investigated the
acceleration of an iPhone on an inclined plane [24].
In this paper we demonstrate the novel use of
an iPhone and on-board accelerometer in deter-
mining the coeficient of kinetic friction, μ
k
of
an object sliding down an inclined plane thereby
making it a suitable experiment to be undertaken
in the student laboratory.
2. Friction
Friction is a phenomena encountered by all of
us in our daily lives. In the student laboratory
friction may be investigated by use of a block
either stationary or sliding down an inclined plane
with the coeficients of static and kinetic friction,
μ
s
and μ
k
, respectively, determined. In determin-
ing μ
k
the plane is inclined until a block resting
on the plane just begins to move. The velocity of
the block is then assumed to be constant with the
block experiencing zero acceleration, a down the
plane for an inclined angle of θ. μ
k
is then usually
calculated from μ
k
= tan θ. The frustrating ‘its
and starts’ of the block sliding down the plane,
where the velocity is assumed to be constant, will
be familiar to teachers of physics. Such its and
starts involve brief periods of ‘stick’ and ‘stick-
slip’ motion in which the mass spends significant
periods in a state of stick (zero velocity), inter-
spersed with short rapid slip periods [25]. Due to
the non-steady motions involving non-rectilinear
motion an error is introduced into the determina-
tion of μ
k
as the assumption that the velocity is
constant is potentially invalid. In this communi-
cation the on-board accelerometer of an iPhone
is used to measure acceleration of an object at
P APERS
Investigation of kinetic friction
using an iPhone
Clive Baldock
1
and Roger Johnson
2
1
Faculty of Science, Engineering and Technology, University of Tasmania, Sandy Bay,
Tasmania 7005, Australia
2
Clairvaux MacKillop College, Upper Mt Gravatt, Queensland 4122, Australia
E-mail: clive.baldock@utas.edu.au
Abstract
The iPhone is particularly suitable for mechanics experiments using the
in-built acceleration sensor or accelerometer in-conjunction with the on-board
data collection facility and a downloadable so-called ‘app’. In this work
the iPhone has been used to investigate the acceleration due to gravity and
determine the coef icient of kinetic friction, μ
k
of the iPhone as an object
sliding down an inclined plane. This method is more accurate than that
usually employed in the laboratory where the ‘its and starts’ of the block
sliding down the inclined plane potentially invalidate the required assumption
that the velocity is constant. In its simplest form the measurement of
acceleration is required to be undertaken for only 2 angles.
iopscience.org/ped
0031-9120/16/065005+6$33.00
Phys. Educ. 51 (2016) 065005 (6pp)