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i = i x L (4) i is the torque acting on the spinning wheel. I is the precessional angular velocity. I is the angular momentum of the spinning wheel. The period of rotation of the wheel is, 2n Tp Wp (5) Lab Procedure Step 1) Watch the following videos to gain a better understanding of the conservation of angular momentum and precession: https://www.youtube.com/watch?v=ty9QSiVC2g0 https://www.youtube.com/watch?v=n5bKzBZ7XuM Step 2) The purpose of Lab 11 is to design an experiment based on gyroscopic precession and determine the precessional angular velocity and period of rotation of an object. Each student needs to choose an object, for example a wheel, disk, sphere, etc. The dimensions and mass of this object is also to be chosen by the student. Step 3) The object now moves with gyroscopic precession. Step 4) Indicate on a sketch the direction of angular velocity, precessional angular velocity, angular momentum and torque. Step 5) Explain how the object is able to maintain its motion without falling over. Step 6) Calculate the precessional angular velocity and period of rotation of the object.

i = i x L (4) i is the torque acting on the spinning wheel. I is the precessional angular velocity. I is the angular momentum of the spinning wheel. The period of rotation of the wheel is, 2n Tp Wp (5) Lab Procedure Step 1) Watch the following videos to gain a better understanding of the conservation of angular momentum and precession: https://www.youtube.com/watch?v=ty9QSiVC2g0 https://www.youtube.com/watch?v=n5bKzBZ7XuM Step 2) The purpose of Lab 11 is to design an experiment based on gyroscopic precession and determine the precessional angular velocity and period of rotation of an object. Each student needs to choose an object, for example a wheel, disk, sphere, etc. The dimensions and mass of this object is also to be chosen by the student. Step 3) The object now moves with gyroscopic precession. Step 4) Indicate on a sketch the direction of angular velocity, precessional angular velocity, angular momentum and torque. Step 5) Explain how the object is able to maintain its motion without falling over. Step 6) Calculate the precessional angular velocity and period of rotation of the object.

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you let your rightr hand represent the spinning disk, the direction of your thumb points in the same direction as the angular velocity and angular momentum shown in Fig. 1 (b). By using the right-hand- rule we can determine the direction of these quantities for any type of rotating object. The expression for torque is given by Eq. I. and also points in the same direction as angular momentum. Direction of rotation Right hand Directon of etation Figure 1. (a) Rotating disk. (h) Righhandde repreting te spiing disk. lruge (1) Ir == (1) L-rxp (2) Ifa wheel is span CCW as shown in Fig 1 (a), then by using the right-hand-cule we can determine that the direction of angular velocity and angular momentum points towands her left. If she applies a force downward with her left hand and a force upward with her right hand in an altempt lo sotate the uheel, the resulting motion of it is not intuitive. Using the right-hand-rule, the wheel will have a component of angular momentam towards her, as shown in Fig. 2b. Since torque also points in the same direction, there will be an aditional torque directed towandi here a well. This is called gyroscopic peecession. When forom reppled eteas sho e wteel rots tod the peran pa ) Den of rotion Figare 2. (a) Fancenppliad to spining whoel. (h) Vactar represeatation af angular meatum Iagen (4) The purpose of this experiement is to determine the angular precessional velocity of a rotating wheel as a torque is appliod. The equation for precessional angular velocity is given by Eq. 3. (3) E is the distance from the pivot point to the center of mass. m is the mass of the wheel. g is the acceleration due to gravity. E is the moment of inertia of the wheel. ac is the angular vekocity of the wheel The relationship between the precesional angular vekocity and the angular momentam using vector natation j eiyea in le. 4.
Transcribed Image Text:you let your rightr hand represent the spinning disk, the direction of your thumb points in the same direction as the angular velocity and angular momentum shown in Fig. 1 (b). By using the right-hand- rule we can determine the direction of these quantities for any type of rotating object. The expression for torque is given by Eq. I. and also points in the same direction as angular momentum. Direction of rotation Right hand Directon of etation Figure 1. (a) Rotating disk. (h) Righhandde repreting te spiing disk. lruge (1) Ir == (1) L-rxp (2) Ifa wheel is span CCW as shown in Fig 1 (a), then by using the right-hand-cule we can determine that the direction of angular velocity and angular momentum points towands her left. If she applies a force downward with her left hand and a force upward with her right hand in an altempt lo sotate the uheel, the resulting motion of it is not intuitive. Using the right-hand-rule, the wheel will have a component of angular momentam towards her, as shown in Fig. 2b. Since torque also points in the same direction, there will be an aditional torque directed towandi here a well. This is called gyroscopic peecession. When forom reppled eteas sho e wteel rots tod the peran pa ) Den of rotion Figare 2. (a) Fancenppliad to spining whoel. (h) Vactar represeatation af angular meatum Iagen (4) The purpose of this experiement is to determine the angular precessional velocity of a rotating wheel as a torque is appliod. The equation for precessional angular velocity is given by Eq. 3. (3) E is the distance from the pivot point to the center of mass. m is the mass of the wheel. g is the acceleration due to gravity. E is the moment of inertia of the wheel. ac is the angular vekocity of the wheel The relationship between the precesional angular vekocity and the angular momentam using vector natation j eiyea in le. 4.
i = ñ x L (4) i is the torque acting on the spinning wheel. i is the precessional angular velocity. L is the angular momentum of the spinning wheel. The period of rotation of the wheel is, Tp Wp (5) Lab Procedure Step 1) Watch the following videos to gain a better understanding of the conservation of angular momentum and precession: https://www.youtube.com/watch?v=ty9QSiVC2g0 https://www.youtube.com/watch?v=n5bKzBZ7XuM Step 2) The purpose of Lab 11 is to design an experiment based on gyroscopic precession and determine the precessional angular velocity and period of rotation of an object. Each student needs to choose an object, for example a wheel, disk, sphere, etc. The dimensions and mass of this object is also to be chosen by the student. Step 3) The object now moves with gyroscopic precession. Step 4) Indicate on a sketch the direction of angular velocity, precessional angular velocity, angular momentum and torque. Step 5) Explain how the object is able to maintain its motion without falling over. Step 6) Calculate the precessional angular velocity and period of rotation of the object.
Transcribed Image Text:i = ñ x L (4) i is the torque acting on the spinning wheel. i is the precessional angular velocity. L is the angular momentum of the spinning wheel. The period of rotation of the wheel is, Tp Wp (5) Lab Procedure Step 1) Watch the following videos to gain a better understanding of the conservation of angular momentum and precession: https://www.youtube.com/watch?v=ty9QSiVC2g0 https://www.youtube.com/watch?v=n5bKzBZ7XuM Step 2) The purpose of Lab 11 is to design an experiment based on gyroscopic precession and determine the precessional angular velocity and period of rotation of an object. Each student needs to choose an object, for example a wheel, disk, sphere, etc. The dimensions and mass of this object is also to be chosen by the student. Step 3) The object now moves with gyroscopic precession. Step 4) Indicate on a sketch the direction of angular velocity, precessional angular velocity, angular momentum and torque. Step 5) Explain how the object is able to maintain its motion without falling over. Step 6) Calculate the precessional angular velocity and period of rotation of the object.
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