Apparatus: We used the model ME-9281 Rotational Accessory Kit and the ME-9279A Rotational Dynamics Apparatus.
used this to find the velocity of the ball when it reached the end of the ramp
Used this to the angular speed of the ball once it is in the ball catcher.
What we did: We set up the apparatus in picture one. We picked an initial launch point for the ball to roll down from and marked it on the ramp. Next we made a few measurements. We measured the height of the launch point to the bottom of the apparatus(19.2 cm), the height from the bottom of the apparatus to the floor(97.5) cm, and the horizontal distance the ball traveled once we let it go from our launch point(51 cm). We used kinematics to solve for the velocity at the end of the launch ramp which is known as the launch speed.(1.1433 m/s) This Velocity will be used in further calculations.
Part 2: We used the aluminum top disk and mounted the ball catcher on top of a small torque pulley. We used logger pro so that we could find the acceleration and deceleration of the torque pulley.
The slope is equal to the acceleration/deceleration
We used the mass and the average angular acceleration to calculate the inertia(I) of the apparatus.
Part 3: Finally we set up the ramp and measured the radius at which the ball would hit the ball catcher. We released the ball from our initial release point. This would allow us to use our Velocity at launch in our next calculation. Finally we did the calculations to find the angular speed.
How we found I
How we got our angular speed.
Conclusion: We found that our Omega was equal to 1.74 rads per second theoretically and that our actual value for omega was 1.69 rads per second which is real close. Reasons for error may be rounding errors, went slightly higher than our initial drop point, or made have a small measurement error.
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