Page 3 - Table of Contents; Section
012-05293F Complete Rotational System i Table of Contents Section Page Copyright Warranty, and Equipment Return ................................................... ii Introduction...................................................................................................... 1 • Description • ...
Page 4 - Copyright, Warranty and Equipment Return; Copyright Notice; ii; Credits
Complete Rotational System 012-05293F Please—Feel free to duplicate this manual subject to the copyright restrictions below. Copyright, Warranty and Equipment Return Copyright Notice The PASCO scientific Model ME-8950A Complete Rotational System manual is copyrighted and all rights reserved. However...
Page 5 - Introduction; Description; Workshop
012-05293F Complete Rotational System 1 Introduction PASCO’s Complete Rotational System provides a full range of experiments in centripetal force and rotational dynamics. The system consists of three separate compo-nents: Description The ME-8951 Rotating Platform consists of a sturdy 4 kg base with ...
Page 6 - Equipment; ME-8952 Centripetal Force Accessory Equipment; The ME-8952 Centripetal Force Accessory includes:; ME-8951 Rotating Platform Equipment
Complete Rotational System 012-05293F 2 Equipment 50g masses (2) 100g mass with 3 open hooks center post side post plastic indicator disk spring ME-8952 Centripetal Force Accessory Equipment The ME-8952 Centripetal Force Accessory includes: - center post that supports an indicator mechanism which co...
Page 7 - ME-8953 Rotational Inertia Accessory Equipment; The ME-8953 Rotational Inertia Accessory includes:; Miscellaneous Supplies:; The Photogate Head connects directly to a
012-05293F Complete Rotational System 3 ACCESSORY ROTATIONAL INERTIA ROT ATIONAL INERTIA ACCESSOR Y ME-8953 Rotational Inertia Accessory Equipment The ME-8953 Rotational Inertia Accessory includes: - disk with bearings in the center- ring (12.7 cm diameter)- adapter to connect disk to platform- 10-s...
Page 8 - Assembly; Assembling the Rotating Platform; Insert the cylindrical end of the shaft into the bearings
Complete Rotational System 012-05293F 4 Assembly ME-8951 Rotating Platform Assembling the Rotating Platform 1. Insert the cylindrical end of the shaft into the bearings on the top-side of the A-shaped iron base. Secure the shaft in place by inserting the "E" ring in the slot at the bottom of...
Page 9 - Figure 2: Leveling the Base; Using an Optional Photogate Head; Figure 3: Using the Photogate Mount Rod With the; Leveling the Base
012-05293F Complete Rotational System 5 "A" base Photogate Head (optional) thumbscrew photogate mount rod 10-spoke pulley on vertical shaft 0 10 1 2 3 4 5 6 7 8 9 20 11 12 13 14 15 16 17 18 19 21 22 24 10 9 8 7 6 5 4 3 2 1 20 19 18 17 16 15 14 13 12 11 24 23 22 21 0 10 1 2 3 4 5 6 7 8 9 20 1...
Page 10 - Figure 5: Center Post Assembly; ME-8952 Centripetal Force Accessory; Center Post Assembly; Figure 4: Using the Accessory Mounting Rod With the Pulley
Complete Rotational System 012-05293F 6 nylon thumb- screw 10-spoke pulley on vertical shaft accessory mounting rod "A" base pulley mounting rod Photogate Head (optional) Super Pulley 6. When the Photogate Head is powered by a computer interface, you can tell when the photogate is blocked by...
Page 11 - Figure 6: Side Post Assembly; Side Post Assembly; and attach the square nut.; Figure 7: Threading the Centripetal Force Accessory; Threading the Centripetal Force Accessory; Mount the center post in the T-slot on the side of the
012-05293F Complete Rotational System 7 1 2 3 0 1 2 3 4 5 side post indicator disk indicator bracket Figure 6: Side Post Assembly thumbscrew square nut 100g mass single length of thread (30cm long) side post nylon thumbscrew Side Post Assembly Assemble the side post as shown in Figure 6:1. Insert th...
Page 12 - ME-8953 Rotational Inertia Accessory; Rotational Inertia Accessory Assembly
Complete Rotational System 012-05293F 8 ROT ATIONAL INERTIA ACCESSOR Y ME-8953 Rotational Inertia Accessory Rotational Inertia Accessory Assembly Little assembly is required to use the Rotational Inertia Accessory. The rotational disk can be placed directly onto the axle of the rotating base or can ...
Page 13 - EQUIPMENT NEEDED; Purpose; Experiment 1: Conservation of Angular Momentum; Figure 1.1 Conservation of Angular Momentum
012-05293F Complete Rotational System 9 EQUIPMENT NEEDED - Rotating Platform (ME-8951) - Rubber band - Projectile Launcher (ME-6800) - White paper and carbon paper - Projectile Collision Accessory (ME-6815) - Thread - Photogate/Pulley System (ME-6838) - Meter Stick (SE-6895) - DataStudio Software - ...
Page 15 - Part I: Determining the initial velocity of the ball; Setup; Figure 1.3 Projectile; Trial Number; Table 1.1 Determining the Initial Velocity
012-05293F Complete Rotational System 11 CAUTION! DO NOT LOOK DOWN BARREL! CAUTION! DO NOT LOOK DOWN BARREL! CAUTION! DO NOT LOOK DOWN THE BARREL. LONG RANGE MEDIUM RANGE SHORT RANGE Position of Ball Launch SHORT RANGE PROJECTILE LAUNCHER ME-6800 Yellow Band in Window Indicates Range. 90 80 70 60 50...
Page 16 - Part II: Conservation of Angular Momentum; Set up the program so that it measures and displays angular speed.; Procedure; Measure the distance from the axis of rotation to; Table 1.2 Initial Speed Using Photogates
Complete Rotational System 012-05293F 12 5. The distance between the Photogates is 10 cm. Calculate the initial speed and record it in Table 1.2 and Table 1.4. Part II: Conservation of Angular Momentum Setup 1. Find the mass of the ball and record it in Table 1.3.2. Attach the ball catcher to the tr...
Page 17 - Part III: Determining the Rotational Inertia; Accounting For Friction; Table 1.4 Rotational Inertia Data
012-05293F Complete Rotational System 13 Part III: Determining the Rotational Inertia Setup 1. Attach a Photogate with a pulley and mounting rod to the base using the black rod. 2. Connect the Photogate to a PASCO interface and connect the interface to a computer. 3. Wind a thread around the middle ...
Page 18 - Measure the Radius; calculate the radius.; Analysis; , calculate the muzzle; Questions; calculate this percentage.; Average Angular Speed
Complete Rotational System 012-05293F 14 Measure the Radius 1. Using calipers, measure the diameter of the step pulley about which the thread is wrapped and calculate the radius. 2. Record the radius in Table 1.4. Analysis 1. Calculate the average of the angular speeds in Table 1.3 and record the re...
Page 19 - Experiment 2: Rotational Inertia of a Point Mass
012-05293F Complete Rotational System 15 rotating platform hanging mass mg T a "A" base Experiment 2: Rotational Inertia of a Point Mass EQUIPMENT NEEDED - DataStudio Software - PASCO Interface (see Note) - Mass and Hanger Set - Paper clips (for masses < 1 g) - Photogate/Pulley System - B...
Page 20 - Part I: Measurements For the Theoretical Rotational Inertia; Table 2.1: Theoretical Rotational Inertia
Complete Rotational System 012-05293F 16 Once the linear acceleration of the mass ( m ) is determined, the torque and the angular acceleration can be obtained for the calculation of the rotational inertia. Setup 1. Level the rotating platform.2. Attach the square mass (point mass) to the track on th...
Page 21 - data is the acceleration of the apparatus.; Calculations; Friction Mass
012-05293F Complete Rotational System 17 5. If the velocity increases or decreases as the platform turns, stop monitoring data, stop the plat- form, and adjust the amount of mass on the thread by adding or removing a paper clip. 6. Repeat the process until the velocity stays constant as the mass fal...
Page 23 - Experiment 3: Centripetal Force
012-05293F Complete Rotational System 19 Experiment 3: Centripetal Force EQUIPMENT NEEDED - Centripetal Force Accessory (ME-8952) - Rotating Platform (ME-8951) - Stopwatch - Balance - Graph paper (2 sheets) - Mass and Hanger Set - String Purpose The purpose of this experiment is to study the effects...
Page 24 - Maintaining this speed, use a stopwatch to time; The weight of the mass hanging over the pulley; Radius
Complete Rotational System 012-05293F 20 2. Attach the clamp-on pulley to the end of the track nearer to the hanging object. Attach a string to the hanging object and hang a known mass over the clamp-on pulley. Record this mass in Table 3.1. This establishes the constant centripetal force. 3. Select...
Page 25 - Calculate the centripetal force from the slope; Centripetal Force = mg
012-05293F Complete Rotational System 21 5. Calculate the centripetal force from the slope and record in Table 3.2. 6. Calculate the percent difference between the two values found for the centripetal force and record in Table 3.2. Part II: Vary Force (constant radius and mass) The radius of rotatio...
Page 27 - Calculate the centripetal force for each trial using:; increase or decrease the centripetal force?; Calculated; Table 3.5: Varying the Mass of the Object
012-05293F Complete Rotational System 23 Analysis 1. The weight of the mass hanging over the pulley is equal to the centripetal force applied by the spring. Calculate this force by multiplying the mass hung over the pulley by “g” and record the result at the top of Table 3.5. 2. Calculate the centri...
Page 29 - Experiment 4: Conservation of Angular Momentum; EQUIPMENT REQUIRED
012-05293F Complete Rotational System 25 Experiment 4: Conservation of Angular Momentum Using a Point Mass EQUIPMENT REQUIRED - DataStudio Program - Rotating Platform (ME-8951) - PASCO Interface (see Note) - Photogate/Pulley System - Rotational Inertia Accessory (ME-8953) - Balance Purpose A mass ro...
Page 30 - Part I: Conservation of Angular Momentum; ter post and set it aside.
Complete Rotational System 012-05293F 26 Part I: Conservation of Angular Momentum Setup 1. Level the apparatus using the square on the track as shown in the leveling instructions in the Assembly Section. 2. Slide a thumb screw and square nut into the T-slot on the top of the track and tighten it dow...
Page 31 - Part II: Determining the Rotational Inertia
012-05293F Complete Rotational System 27 center post string stop screws (2) Procedure 1. Select ’Smart Pulley (Rotational)’ as the type of sensor. Set up a Graph display of Velocity (rad/s) versus time. 2. Hold the string just above the center post. With the square mass against the outer stop, give ...
Page 32 - velocity with three significant figures.; Finding the Acceleration of the Apparatus; Table 4.2 Rotational Inertia Data
Complete Rotational System 012-05293F 28 Procedure Accounting For Friction Because the theory used to find the rotational inertia experimentally does not include friction, it will be compensated for in this experiment by finding out how much mass over the pulley it takes to over-come kinetic frictio...
Page 33 - Calculate the rotational inertias:; Which kinetic energy is greater?; Theoretical Angular Speed
012-05293F Complete Rotational System 29 Analysis 1. Calculate the rotational inertias: • Subtract the “friction mass” from the hanging mass used to accelerate the apparatus to determine the mass, m, to be used in the equations. • Calculate the experimental values of the rotational inertia and recor...
Page 35 - Experiment 5: Rotational Inertia of Disk and Ring; - Mass and Hanger Set; where M is the mass of the ring, R; Disk about center of Mass
012-05293F Complete Rotational System 31 Experiment 5: Rotational Inertia of Disk and Ring EQUIPMENT REQUIRED - DataStudio Program - Mass and Hanger Set - PASCO Interface (see Note) - Paper Clips (for masses < 1 g) - Rotational Inertia Accessory (ME-8953) - Balance - Photogate/Pulley System - Cal...
Page 37 - Measurements for the Experimental Method; Watch the Digits display to see the velocity.; Finding the Acceleration of Ring and Disk; Wind the thread up and hold the Rotating Platform.; Table 5.1: Theoretical Rotational Inertia
012-05293F Complete Rotational System 33 Measurements for the Experimental Method Accounting For Friction Because the theory used to find the rotational inertia experimentally does not include friction, it will be compensated for in this experiment by finding out how much mass over the pulley it tak...
Page 38 - Record the results of the following calculations in Table 5.3.
Complete Rotational System 012-05293F 34 Measure the Radius 1. Using calipers, measure the diameter of the cylinder about which the thread is wrapped and calcu- late the radius. Record in Table 5.2. Finding the Acceleration of the Disk Alone Since in Finding the Acceleration of Ring and Disk the dis...
Page 41 - Experiment 6: Rotational Inertia of Disk Off-Axis
012-05293F Complete Rotational System 37 Experiment 6: Rotational Inertia of Disk Off-Axis (Fixed/Rotating) EQUIPMENT REQUIRED - DataStudio Program - Calipers - PASCO Interface (See Note) - Mass and Hanger Set - Rotational Inertia Accessory (ME-8953) - Paper Clips (for masses < 1 g) - Photogate/P...
Page 42 - Solving for the tension in the thread gives:; to tighten the screws.; Measurements For the Theoretical Rotational Inertia
Complete Rotational System 012-05293F 38 Applying Newton’s Second Law for the hanging mass, m, gives (See Figure 6.1) Solving for the tension in the thread gives: Once the linear acceleration of the mass (m) is determined, the torque and the angular acceleration can be obtained for the calculation o...
Page 43 - Measurements For the Experimental Method; Finding the Acceleration of Disk and Track; Table 6.1: Theoretical Rotational Inertia
012-05293F Complete Rotational System 39 Measurements For the Experimental Method Accounting For Friction Because the theory used to find the rotational inertia experimentally does not include friction, it will be compensated for in this experiment by finding out how much mass over the pulley it tak...
Page 44 - This will be the rotational inertia of the fixed disk alone.
Complete Rotational System 012-05293F 40 Measure the Radius 1. Using calipers, measure the diameter of the cylinder about which the thread is wrapped and calcu- late the radius. Record in Table 6.2. Finding the Acceleration of Track Alone Since in Finding the Acceleration of Disk and Track the track...
Page 45 - Experiment 7: Conservation of Angular; Ring onto Disk
012-05293F Complete Rotational System 41 Experiment 7: Conservation of Angular Momentum EQUIPMENT REQUIRED - DataStudio Program - PASCO Interface - Rotational Inertia Accessory (ME-8953) - Balance - Rotating Platform (ME-8951) - Photogate/Pulley System Purpose A non-rotating ring is dropped onto a r...
Page 46 - the axes if necessary.; Calculate the percent difference
Complete Rotational System 012-05293F 42 Procedure 1. Hold the ring just above the center of the disk. Give the disk a spin using your hand.2. Start recording data. After about 25 data points have been taken, drop the ring onto the spinning disk. See Figure 7.2. 3. Continue to take data after the co...
Page 49 - Technical Support; To Reach PASCO; Title and Revision Date of software.
012-05293F Complete Rotational System 45 Technical Support Feed-Back If you have any comments about this product or this manual please let us know. If you have any suggestions on alternate experiments or find a problem in the manual please tell us. PASCO appreciates any customer feed-back. Your inpu...
