HERIOT-WATT UNIVERSITY SCHOOL OF ENGINEERING AND PHYSICAL SCIENCES (MECHANICAL ENGINEERING) MECHANICAL ENGINEERING SCIENCE 3 (B58EC1) DYNAMICS LABORATORY : WHEEL AND AXLE ACCELERATION

Objective: To predict the time taken for a wheel to roll on its axle, down a slope using energy methods Theory: Energy Method Release Ød or radius r After descent h v m/sec m kg I kg.m2 ØD or radius R

Figure 1. Energy in a rolling wheel Referring to Figure 1 when the wheel is released from rest and subsequently rolls down the slope, it accelerates and hence gains energy. Now for a rolling wheel the kinetic energy has two components, translational due to the bodily movement of the mass centre down the slope and rotational due to the wheel spin. Now the source of this energy is the loss in potential energy as the wheel moves down the slope. If it is reasonable to assume that friction effects are insignificant then no energy is lost. Thus the loss in potential energy becomes a gain in kinetic energy. Hence, Loss in potential energy = mgh, is equal to the Gain in kinetic energy = 0.5mv2 + 0.5Iω 2 where v = velocity of the mass centre down slope (m/sec) ω = angular velocity of wheel (rad/sec) = v/r, r is the axle radius when rolling I = Polar moment of inertia = mR2/2 (1) (2)

Applying conservation of energy, equate equations 1 and 2 to derive an expression for the velocity v at the bottom of the slope. Using the linear equations of motion, find the expression for time t. Show these derivations in your report.

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Experiment: Using the measured distances (100mm to 500mm, intervals of 100mm) travelled by the wheel and the expressions i.e. (1) velocity at bottom of slope and (2) acceleration down the slope, calculate the time taken for the wheel to roll down the slope. Compare the calculated values with the experimental data Discussions: Plot a graph of time t2 vs distance s for calculated and experimental data. Explain the discrepancies between calculated values and...

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Wheel/axle assembly report
Contents
1. Terms of reference
This report is completed as requirement for the outcome two Relationship between Linear and Angular Motion.
A rotating wheel travelling along a surface has both angular motion and linear motion. Hence it will possess kinetic energy due to its linear velocity called kinetic...

...Laboratory TitleWheel and Axle Acceleration |
Objective: To predict the time taken for a wheel to roll on its axle, down a slope using the energy method.
Theory:
Release
Energy Method
Ød or radius r
After descent
m kg
I kg.m2
h
v m/sec
ØD or radius R
Figure 1. Energy in a rolling wheel
Referring to Figure 1 when the wheel is released from rest and subsequently rolls down the slope, it...

...Daphny Maldonado
Bio Lab 2107
Kiah Britton
W 10-12:30
Is H20 Bad for You?
Abstract:
In the village of Gopher Hollow there’s a cluster of Blue Baby Syndrome. There were
four infants affected by this cluster. The families from the infants would collect their
water from wells. We have to determine what’s the source of the high levels of nitrites in
the water. The four sources that could be the point of contamination are a new
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...conservation of mechanical energy
Section: 8
Name: Ahmed Atari
University ID: 201103848
Instructor: Ahmed Zainelabdin
Submission date: May 1, 2014
Objective: the purpose of this lab is to investigate the law of conservation of energy. This can be achieved by measuring both potential and kinetic energy through the experiment conducted.
Back ground:
Kinetic energy is said to be the energy of motion....

...Experiment Title: Torsion Vibration.
Introduction : Torsion is the twisting of a metallic rod shaped object, when a torque is applied on two sides’ perpendicular to the radius of a uniform cross-sectional bar.
Objective : Determining the natural frequency of a system undergoing tortional vibration.
Theory : Using Newton’s second law of tortional system.
( [pic] …………………. ( Equation 1 )
where Io = mass moment of inertia of the disk
Hence, [pic]...

...INTRODUCTION
In hydroelectric power plant, turbine been used to generate power from reservoir of water. Turbine been selected by their characteristic curves based on the potential energy available in the water and the amount of power to be generated. Turbine is a type that develops torque by reacting to the pressure or weight of a fluid. The operation of reaction turbine can be describes by the Newton’s third law of motion that is for every action, there is an equal and opposite reaction....

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Procedure:
CHM 113 Lab Manual, 2014, Determination of : Titration of a Weak Acid, pgs.89-96
Equations/Experimental Equipment and Apparatus:
LoggerPro, LabPro, pH probe, drop counter, 60 mL reagent reservoir, stir station
=p
Data and...