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- The Law of Angular Momentum

September 7, Summary sheet Objectives The objectives of the practical was to observer the relationship that exists between to angular acceleration, torque and moment of inertia, and to test the law of angular momentum

Method

The wheel was placed on the vertical wheel so as to enable it rotate making sure there is no mass hanging from the pulley. The second wheel was held at rest a short height above the first pulley and the bottom wheel spun so that the hanging pulley descends and at this point the recording was started. The stationary wheel was dropped onto the rotating wheel and after a couple of seconds, the recording was stopped. Velocities were then determined and this velocities were then converted into angular velocities. The percentage difference between the measured and predicted final angular velocity was calculated.

Results

The range to be used in the calculations was found by getting the mean of five measurements i.e. Average range = (2.72+2.792+2.84+2.845+2.857)/5 = 2.811. Similarly, the average deviation was computed in the same manner i.e. Average deviations = (-0.091+-0.019+0.029+0.034+0.046)/5= -2E-4. The slope of versus R is 102.667. (as illustrated on the graph below). Therefore velocity of the ball from the slope is 102.667.

% difference = 16.9897%

This was calculated ass:

Slope =Change in /Change in R

=(15.4 – 0)/(0.2 – 0.05)

= 102.6667

% difference therefore = (102.6667 – 5.707)/ 5.707

=16.9897%

Applications

In figure skating, a skater when performing a turn he/she pulls in his arms thus decreasing his moment of inertia. As a result, his spin rate increases i.e. he spins faster. This is a real world example of conservation of momentum applied to angular motion

Bibliography

"Conservation Of Momentum." Conservation Of Momentum. N.p., n.d. Web. 27 Nov. 2012. .

"GENERAL PHYSICS EXPERIMENT." Lab_7 [Physics Labs]. N.p., n.d. Web. 27 Nov. 2012. .

Science Clarified." Real-life Applications. N.p., n.d. Web. 27 Nov. 2012. .

Method

The wheel was placed on the vertical wheel so as to enable it rotate making sure there is no mass hanging from the pulley. The second wheel was held at rest a short height above the first pulley and the bottom wheel spun so that the hanging pulley descends and at this point the recording was started. The stationary wheel was dropped onto the rotating wheel and after a couple of seconds, the recording was stopped. Velocities were then determined and this velocities were then converted into angular velocities. The percentage difference between the measured and predicted final angular velocity was calculated.

Results

The range to be used in the calculations was found by getting the mean of five measurements i.e. Average range = (2.72+2.792+2.84+2.845+2.857)/5 = 2.811. Similarly, the average deviation was computed in the same manner i.e. Average deviations = (-0.091+-0.019+0.029+0.034+0.046)/5= -2E-4. The slope of versus R is 102.667. (as illustrated on the graph below). Therefore velocity of the ball from the slope is 102.667.

% difference = 16.9897%

This was calculated ass:

Slope =Change in /Change in R

=(15.4 – 0)/(0.2 – 0.05)

= 102.6667

% difference therefore = (102.6667 – 5.707)/ 5.707

=16.9897%

Applications

In figure skating, a skater when performing a turn he/she pulls in his arms thus decreasing his moment of inertia. As a result, his spin rate increases i.e. he spins faster. This is a real world example of conservation of momentum applied to angular motion

Bibliography

"Conservation Of Momentum." Conservation Of Momentum. N.p., n.d. Web. 27 Nov. 2012. .

"GENERAL PHYSICS EXPERIMENT." Lab_7 [Physics Labs]. N.p., n.d. Web. 27 Nov. 2012. .

Science Clarified." Real-life Applications. N.p., n.d. Web. 27 Nov. 2012. .