• Join over 1.2 million students every month
  • Accelerate your learning by 29%
  • Unlimited access from just £6.99 per month

Measuring the moment of inertia of a flywheel.

Extracts from this document...

Introduction

Title Measuring the moment of inertia of a flywheel. Objective Measure the angular velocity of a flywheel and use conservation of energy to calculate its moment of inertia. Apparatus Flywheel String Slotted mass on hanger Stop-watch Vernier caliper Metre ruler Theory The rotational kinetic energy can be defined by the equation K=1/2 I ?2. Where I is the moment of inertia of the body about the axis of rotation. In this experiment, the flywheel rotates freely about a horizontal axis. The radius of the axle of the flywheel can be measured with a caliper. As m falls, its gravitational potential energy is transferred into translational kinetic energy of m, rotational kinetic energy of the flywheel and work done by friction. As the flywheel completes N further turns, its original rotational kinetic energy is transferred into friction loss. Assume the flywheel decelerates uniformly. Thus, the moment of inertia of the flywheel can be determined. Procedure 1. The flywheel was set as shown with the axle of the flywheel horizontal. ...read more.

Middle

10. The mass was winded up again and steps 7 to 9 were repeated for at least 3 times. The mean values of the falling time t and n2 were obtained. Precautions 1. The mass and the height from which the mass falls should be chosen so that the falling time is long enough for measurement to be taken accurately. The mass and the height should not be changed throughout the experiment once they have been chosen. 2. The first few turns of the string should overlap the others. 3. The mass should be wound up to the same height in all trials. 4. When using the stop-watch, the hand should be held straightly to minimum the reaction time error. 5. Do not stand too close to the polystyrene tile when releasing the mass. 6. When choosing the appropriate amount of the slotted mass, a smaller amount (e.g. 1 slotted mass) should be chose to try first. 7. The later turns of the string should not overlap the others. ...read more.

Conclusion

Since the kinetic energy acquired by the flywheel ( 1/2 I?2) is dissipated in n2 revolutions, n2W = 1/2 I?2 W = I?2 / 2n2 Substituting, mgh = 1/2 mv2 + 1/2 I?2 + n1W mgh = 1/2 mv2 + 1/2 I?2 + n1I?2 / 2n2 I = mr2 ( n2 / n1 + n2 ) ( gt2 / 2h - 1) =0.2 � (0.0261)2 ( 25 / (25 + 5) ) ( 10 � (1.81)2 / 2 � 0.8 - 1 ) =2.21 � 10-3 kg m2 Conclusion The moment of inertia of the flywheel is measured and found to be 2.21 � 10-3 kg m2. Discussion Errors and improvement 1. The reaction times error. This can be improved by straighten the hand when taking the time. 2. The number of revolution n2 that the flywheel performed cannot be accurately obtained. This can be improved by counting the number of revolution by two students instant of one and to repeat the experiment more times. 3. Unsteady hands. When the hand released the mass, force may be push to the mass. To improve this, student should release the mass slowly and softly. Reference Physic Beyond 2000 ...read more.

The above preview is unformatted text

This student written piece of work is one of many that can be found in our GCSE Classifying Materials section.

Found what you're looking for?

  • Start learning 29% faster today
  • 150,000+ documents available
  • Just £6.99 a month

Not the one? Search for your essay title...
  • Join over 1.2 million students every month
  • Accelerate your learning by 29%
  • Unlimited access from just £6.99 per month

See related essaysSee related essays

Related GCSE Classifying Materials essays

  1. The role of mass customization and postponement in global logistics

    Business Value: * Provide exceptional value for money products that meet unique personal needs. * Attain high customer retention rates. * Increase customer's life time values. * Obtain detailed consumer information. * Increase profitability. The age of the consumer is in full swing.

  2. An experiment to investigate the factors that determine the amount of energy released when ...

    Amount of alcohol - The larger the amount of alcohol, the larger the amount of alcohol molecules present to undergo combustion and produce more products that will more energy due to the larger amount of formation of bonds. Therefore, the larger the amount of alcohol, the larger amount of energy produced.

  • Over 160,000 pieces
    of student written work
  • Annotated by
    experienced teachers
  • Ideas and feedback to
    improve your own work