Page 3 - Table of Contents; Section; Assembly
i 012-05327B Demonstration Gyroscope Table of Contents Section Page Copyright, Warranty, and Equipment Return .................................................. ii Introduction ..................................................................................................... 1 Equipment ............
Page 4 - ii; Equipment Return; PASCO scientific; Credits; This manual authored by: Jon Hanks; Copyright Notice; Copyright, Warranty and Equipment Return
ii Demonstration Gyroscope 012-05327B Equipment Return Should this product have to be returned to PASCOscientific, for whatever reason, notify PASCO scientificby letter or phone BEFORE returning the product. Uponnotification, the return authorization and shipping instruc-tions will be promptly issue...
Page 5 - Introduction
1 012-05327B Demonstration Gyroscope Introduction The PASCO ME-8960 Gyroscope has an open designthat makes all the parts easily accessible to the student.The gyroscope consists of a disk that can be rotated byhand or by pulling a string that is wrapped around thepulley. A movable counterweight balan...
Page 6 - Equipment; ME-8960 Demonstration Gyroscope Equipment
2 Demonstration Gyroscope 012-05327B Equipment ME-8960 Demonstration Gyroscope Equipment The ME-8960 Demonstration Gyroscope includesthe following: – PASCO cast iron “A” base with rotating shaft – axle (48 cm long) with pivot block, protractor plate, and pointer – one 900g large counterweight – one ...
Page 7 - Figure 1: Demonstration Gyroscope Assembly; ME-8960 Demonstration Gyroscope; Assembling the Demonstration Gyroscope
3 012-05327B Demonstration Gyroscope Assembly cast iron “A” base “E” ring for rotating axle rotating axle rotating disk 900g counterweight thumbscrew 30g counterweight gyroscope axle thumbscrew flat of rotating axle Figure 1: Demonstration Gyroscope Assembly “E” rings (2) for rotating disk thumbscre...
Page 8 - Figure 2: Leveling the Base; Leveling the Base; Figure 3: Using the Rotating Disk Pulley; Using the Rotating Disk Pulley
4 Demonstration Gyroscope 012-05327B leveling feet then adjust this foot adjust this foot first “A” base rotating disk gyroscope axle 900g counterweight gyroscope axle (rotated 90˚) Figure 2: Leveling the Base rotating disk Leveling the Base ➀ Purposely make the apparatus unbalanced by mov-ing the 9...
Page 9 - ME-8961 Additional Gyroscope Disk; Using the Additional Gyroscope Disk; Figure 4: Using the Additional Gyroscope Disk
5 012-05327B Demonstration Gyroscope included 900gcounterweight ME-8960 Demonstration Gyroscope gyroscope axle (part of ME-8960) ME-8960 DEMONSTRA TION GYROSCOPE ME-8961 Additional Gyroscope Disk Using the Additional Gyroscope Disk ➀ Slide the included 900g counterweight onto thelong side of the gyr...
Page 11 - Experiment 1: Precession; top view; EQUIPMENT NEEDED; Purpose; dt; Figure 1.1: Torque Applied to Horizontal Gyroscope
7 012-05327B Demonstration Gyroscope Experiment 1: Precession d φ → dL → L → L top view side view 90 100 110 120 130 140 80 70 60 50 40 30 ME-8960 DEMONSTRATION GYROSCOPE CAUTIONMAGNET ω mg EQUIPMENT NEEDED – Gyroscope (ME-8960) – meter stick – stopwatch (SE-8702) – table clamp for pulley – Super Pu...
Page 12 - mgd
8 Demonstration Gyroscope 012-05327B Since d φ /dt = Ω , the precession speed, mgd = L Ω and the precession rate is given by Ω = mgd I ω where I is the rotational inertia of the disk and ω is the angular speed of the disk. To find the rotational inertia of the disk experimentally, a known torque is ...
Page 13 - Part I: Measuring the Precession Rate; Setup; Time for Precession
9 012-05327B Demonstration Gyroscope So, once the linear acceleration of the mass (m) is determined, the torque and the angularacceleration can be obtained for the calculation of the rotational inertia. The acceleration isobtained by timing the fall of the hanging mass as it falls from rest a certai...
Page 14 - Part II: Measuring Quantities For the Theoretical Value; Attach a Super Pulley with rod to the table using a table clamp.; Procedure; Accounting For Friction
10 Demonstration Gyroscope 012-05327B Part II: Measuring Quantities For the Theoretical Value Setup ➀ Clamp the gyroscope shaft in the horizontal position. See Figure 1.3. ➁ Attach a Super Pulley with rod to the table using a table clamp. ➂ Wind a thread around the pulley on the center shaft and pas...
Page 15 - Alternate Computer Method:; Analysis; Calculate the rotational inertia:; Times; Table 1.2 Rotational Inertia Data
11 012-05327B Demonstration Gyroscope Alternate Computer Method: If a computer and Smart Pulley are used, the acceleration of the disk can be obtained byfinding the slope of the velocity vs. time graph. Measure the Radius ➀ Using calipers, measure the diameter of the pulley about which the thread is...
Page 16 - Questions; Acceleration
12 Demonstration Gyroscope 012-05327B Questions ➀ What happens to the direction of precession if the spin of the disk is reversed? ➁ How does the rate of precession change if the angular speed of the disk is increased? Acceleration Rotational Inertia Average Angular Speed of Disk Experimental Preces...
Page 19 - Adjust the counterweights until the gyroscope is balanced.
15 012-05327B Demonstration Gyroscope “A” base counterweights rotating axle rotating disk add-on mass Experiment 3: Precession - Demonstration EQUIPMENT NEEDED – Gyroscope (ME-8960) Purpose It is shown that if a precessing gyroscope is restricted from precessing, the disk will fall.See Figure 3.1. P...
Page 21 - Three different types of nutation are shown.
17 012-05327B Demonstration Gyroscope “A” base rotating axle add-on mass counterweights rotating disk Experiment 4: Nutations - Demonstration EQUIPMENT NEEDED – Gyroscope (ME-8960) Purpose Three different types of nutation are shown. Procedure ➀ Adjust the counterweights until the gyroscope is balan...
Page 22 - Figure 4.2: Patterns of Resultant Nutations
18 Demonstration Gyroscope 012-05327B Figure 4.2: Patterns of Resultant Nutations (A) Released from rest (B) Released with forward speed (C) Released with backward speed
Page 23 - Contacting Technical Support; Title and Revision Date of software.; To Reach PASCO; Technical Support
19 012-05327B Demonstration Gyroscope Contacting Technical Support Before you call the PASCO Technical Support staff itwould be helpful to prepare the following information: • If your problem is computer/software related, note: Title and Revision Date of software. Type of Computer (Make, Model, Spee...