Ballisitc_Lab 7 (213)

Combining equations 2.1 through 2.3 (eliminating v) yields ball pend o ball m m v 2gh m   (4) Setup 1. Attach the ballast mass to the bottom of the catcher. 2. Set up the mini launcher, bracket, table clamp, mounting rod, and Rotary Motion Sensor as shown in Figure 1. The exact position of the Rotary Motion Sensor is not important yet. Note that the side of the Rotary Motion Sensor without the model number on the label is facing you. (If the Rotary Motion Sensor is mounted the other way, it will measure negative displacement.) 3. Slide the three-step pulley onto the Rotary Motion Sensor shaft with the largest pulley facing out. 4. Attach the pendulum to the Rotary Motion Sensor using the hole near the end of the pendulum. See Figure 2. __ _________ Figure 1: Launcher and Rotary Motion Sensor mounted on rod Figure 2: Mounting Pendulum on Rotary Motion Sensor 5. Adjust the position of the Rotary Motion Sensor so the pendulum is aligned with the launcher as shown in Figure 3. Figure 3: Aligning Pendulum with Launcher 6. Connect the Rotary Motion Sensor to the PASPORT interface. 7. Open the DataStudio file called " Ballistic Pend1.ds ".

8B -Rotational Motion: Plot Angular Position and Velocity (Rotary Motion Sensor) Mechanics: Rotational motion; position, velocity, acceleration DataStudio file: 39 Rotational Motion.ds Equipment List Qty Items 1 PASCO Interface (for one sensor) 1 Rotary Motion Sensor 1 Mini Rotational Accessory 1 Rod, 45 cm 1 Large Rod Base 1 Mass and Hanger Set 1 m Thread Introduction The purpose of this activity is to measure the angular position and velocity of a rotating body. Use a Rotary Motion Sensor to measure the rotation of a disk as the disk undergoes a constant angular acceleration. Use DataStudio to record and display the data. Background For each kinematics quantity (i.e. displacement, velocity, etc.) there is an analogous quantity in rotational kinematics. The rotational version of position (x) is the "angular position" that is given by the Greek letter theta. The rotational version of velocity (v) is "angular velocity" that is given by the Greek letter omega. All translational (linear) quantities have rotational counterparts The equations of kinematics for constant linear acceleration can be used for solving problems involving linear motion in one and two dimensions. For example, the motion of a fan cart accelerating on a flat track can be described by the equations of translational kinematics. The ideas of angular displacement, angular velocity, and angular acceleration can be brought together to produce a set of equations called the equations of kinematics for constant angular acceleration. The equations of kinematics for constant angular acceleration can be used for solving problems involving rotational motion. For example, the motion of the blades on a fan cart as they start to rotate faster and faster can be described by the equations of rotational kinematics. v  v 0  at x  1 2 v 0  v   t x  v 0 t  1 2 at 2 v 2  v 0 2  2 ax    0   t   1 2  0     t    0 t  1 2  t 2  2   0 2  2 