Funnest Swing Design

Our Project

For this project we started out by picking groups while incorporating "swing" dancing. We then got into brainstorming about what makes the best swing and how we could make one on campus that was also super fun. From there we started out using the videos of differnt swings in google classroom to find different data point. Things like the period, speed, angle, arc length, height, etc. This would help us to start to be able to find our own data after we put together our own swing. After we finished this assignment, chapter notes, and problems, we were ready to start brainstorming and solving for our own swing. My group decided to build one out front the STEM marin sign and building. Using rope and a board to put it all together.

After designing our swing and setting it up outside we took videos of two parts of the swing, first being the harmonic motion. We pushed one of our groupmates on the swing back and forth to take this part of the data. We then determined the forces behind the push, the period, tensions of the rope, angular velocity, angular acceleration, etc. Then for the second part of the swing project, we began to add toque to the swing and found the data. We determined if our data made sense and put it into a slideshow to present.

Content

Torque: In physics, torque is the rotational equivalent of linear force. It is also referred to as the moment, moment of force, rotational force or turning effect. During this project, we added torque by adding opposite directioned pushes to the person on the swing. Then calculating the forces of these pushes.

Harmonic Motion: Simple harmonic motion is a special type of periodic motion where the restoring force on the moving object is directly proportional to the magnitude of the object's displacement and acts towards the object's equilibrium position. The harmonic motion of our swing was the beginning of the swing video, where our groupmate was only swinging back and forth.

Length: the length of the rope from the beam to the swing. We layed our rope we used on the ground and measured with metersticks, the length of the rope from where the swing sits to the beam.

Period: Period refers to the time that it takes to do something. We videod and counted frames to determine the period of our groupmate swinging from starting, back to starting position.

Oscillation: Oscillation is the repetitive or periodic variation, typically in time, of some measure about a central value or between two or more different states. We showed the oscillation of the swing as it moved back and forth harmonically and rotationally.

Velocity maximum: the maximum speed the swing is able to swing at. We calculated for the maximum speed the swing could swing at by using the conservation of energy and solving for velocity.

Tension minimum: the minimum tension on the swing. We calculated for the minimum tension of the rope of the swing by using mass x gravity and using the starting angle the swing is at.

Tension maximum: the maximum tension the swing is able to be at. We calculated for the maximum tension that can be exerted on the rope by using mv^2/r + mass x gravity to find the most force that the rope can take.

Arc Length: The linear distance traveled when an object is moving along a curve. We determined the arc length of our swing by using C=2 pi r, r being the length of the rope.

Distance: the change in distance from the starting point of the swing to the bottom of it. We calculated this by comparing the swing from starting height to the bottom of it and then found the change in these lengths.

Angular Velocity: In physics, angular velocity or rotational velocity, also known as angular frequency vector, is a pseudovector representation of how fast the angular position or orientation of an object changes with time. Using our notes and equations we could calculate the angular velocity of the swing after. ω = v/r

Angular Acceleration: In physics, angular acceleration refers to the time rate of change of angular velocity. We also calculated for the angular acceleration using the angular velocity to determine this. 𝜶= ω/t

Moment Of Inertia: a quantity expressing a body's tendency to resist angular acceleration. We had to make some assumptions to determine the moment of inertia, one being the mass and length of a fraction of the person on the swing. Assuming the legs are a rod and using a portion of the mass on the swing we found the moment of inertia.

Force: In physics, a force is an influence that can change the motion of an object. We used a few different forces while the swing was swinging, two being the added torque onto the swing to turn the motion into roational from harmonic.

Angular Momentum: In physics, angular momentum is the rotational analog of linear momentum. We determined whether the swing-person on swing system was conserved, due to the forces applied the momentum would not be conserved. As well as there would be no work done inside the system.

Center of Gravity: a point from which the weight of a body or system may be considered to act. In uniform gravity it is the same as the center of mass. We determined the cneter of gravity of the person on the swing to help us find out calculations of both types of motion.

Translational Motion: motion in which all points of a moving body move uniformly in the same line or direction. The beginning of the swinging was translational motion of our groupmate only swinging back and forth.

Rotational Motion: The motion of a rigid body which takes place in such a way that all of its particles move in circles about an axis with a common angular velocity. We added rotaional motion by adding torque to the swing and then determined different kinds of data from that.