Gyroscope

$500.00

Code Number: P011213

Brand: AELAB

Purpose:

The 3-axis gyroscope is used for demonstration and experimental quantitative derivation of the laws of gyrostatics. The following topics can be dealt with experimentally:

• Moment of inertia of the disc

• Turning moment/angular momentum

• Precession

• Nutation

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High quality precision-3-axis gyroscope for demonstration as well as for quantitative determination of gyroscopic laws by means of practical experiments. Experiment apparatus with a shaft that can be tilted and rotated while attached to a stand rod. On one side of the shaft there is a disc mounted on dual ball bearings, while on the opposite side there is a movable counterweight for establishing equilibrium. Fine adjustment is performed by thumb screw at the end of the shaft. To generate external torque an additional weight is provided that can also be moved along the shaft. The shaft’s angle of inclination can be read from an easily readable scale. The disc can be set rotating by hand or by means of a cord. The dual ball bearing system ensures that rotation is nearly frictionless and that rotation continues for lengthy periods of time. The open construction of the gyroscope allows gyroscopic phenomena to be observed easily and clearly.

Specifications:

  • Scale: - 40° to + 40°
  • Scale divisions: 5°
  • Disc: 250 mm dia.
  • Mass of disc: 1300 g
  • Mass of counterweight: 950 g
  • Mass of additional weight: 50 g

 

Gyroscope

3-Axis Gyroscope: balance status

Gyroscope

Demonstration gyroscope: Angle scale

Gyroscope

Demonstration gyroscope: Unbalance

Gyroscope

Gyroscope disk

Test gyroscope friction

Investigate gyroscope. 

 

Gyroscope 1

 

 

Gyroscope 2

Gyroscope 3

Gyroscope 4

Gyroscope 5

Gyroscope 6

From picture above, tflywheel = t2; tweight = t1

if effective Torque teff = zero (Torque of flywheel and torque of weight are destructive), no Precession happen

See the clip below:

If flywheel is heavier than weight, the gyros deviate to the flywheel, direction of roation like picture below (similar theory above), Precession is clip below:

If flywheel is lighter than weight, the gyros deviate to the weight, then Precession is clip below:

We find out: The larger the deviation between the flywheel and the weight, the higher the frequency of precession.

Because:

if The larger teff, then the larger dL, according to Equation (6), then the greater Angular velocity W. Watch the clip below:

2. Why is the reciprocating frequency of precession inversely proportional to rotation speed of the flywheel?

Gyroscope 7

From formula (6):

                                   (7)

Torque t = r  x F is constant.

When angular velocity of flywheel w is reduced, then angular momentum L = I. w is reduced.

Leading to an increase in W .

So the frequency of precession  is inversely proportional to the speed of the flywheel

See clip below:

Gyroscope 8

Gyroscope 9

NUTATION