The kinetic energy is greater at the bottom of the swing because the pendulum is moving fastest at that point. As the pendulum swings down, the potential energy is converted into kinetic energy, resulting in increased speed at the bottom.
The kinetic energy of the end of a pendulum is greatest at the lowest point of its swing (the bottom of the swing). This is because the pendulum has the highest speed at this point, which translates to a greater kinetic energy.
This is a conservation of energy problem. When the pendulum starts out, it has gravitational potential energy; at the bottom of the swing, all of that has been converted to kinetic energy, and when it swings back up, back to gravitational potential energy (which is why speed is greatest at the bottom of the pendulum); in other words, there has to be the same amount of energy (PEgravitational = mass*gravity*height), where mass and gravity are constant.
At the bottom of its swing in the center, the pendulum has maximum kinetic energy (KE) and no potential energy (PE) because it is moving its fastest and is at its lowest point.
This could be quantified using calculus, but to simply know WHERE it is fastest but not how fast, simple first principals are all that is required - that of conservation of energy. At the low point the pendulum has it's least Potential Energy (PE) - it has fallen as far as it can. As it rises it gains PE, gathering that energy by reducing the Kinetic Energy (energy of motion) of the mass. Clearly the pendulum is traveling fastest at the bottom.
The point of oscillation of a simple pendulum is the equilibrium position where the pendulum comes to rest when there is no external force acting on it. It is the bottom-most point of the pendulum's swing where the potential energy is at a minimum and the kinetic energy is at a maximum. This point marks the center of the pendulum's oscillation movement.
The kinetic energy of the end of a pendulum is greatest at the lowest point of its swing (the bottom of the swing). This is because the pendulum has the highest speed at this point, which translates to a greater kinetic energy.
kinectic energy is energy that moves like kinectic engergy means that somethings moving
This is a conservation of energy problem. When the pendulum starts out, it has gravitational potential energy; at the bottom of the swing, all of that has been converted to kinetic energy, and when it swings back up, back to gravitational potential energy (which is why speed is greatest at the bottom of the pendulum); in other words, there has to be the same amount of energy (PEgravitational = mass*gravity*height), where mass and gravity are constant.
At the bottom of its swing in the center, the pendulum has maximum kinetic energy (KE) and no potential energy (PE) because it is moving its fastest and is at its lowest point.
This could be quantified using calculus, but to simply know WHERE it is fastest but not how fast, simple first principals are all that is required - that of conservation of energy. At the low point the pendulum has it's least Potential Energy (PE) - it has fallen as far as it can. As it rises it gains PE, gathering that energy by reducing the Kinetic Energy (energy of motion) of the mass. Clearly the pendulum is traveling fastest at the bottom.
kinectic energy
The point of oscillation of a simple pendulum is the equilibrium position where the pendulum comes to rest when there is no external force acting on it. It is the bottom-most point of the pendulum's swing where the potential energy is at a minimum and the kinetic energy is at a maximum. This point marks the center of the pendulum's oscillation movement.
A pendulum transfers potential gravitational energy (at the top of its swing) to kinetic energy (movement at the bottom of the swing) and then back again (at the top on the other side).
On a pendulum, the greatest potential energy is at the highest point of the swing on either side, and the greatest kinetic energy is at the bottom of the swing. On a roller coaster, the greatest potential energy is at the top of a hill, and the greatest kinetic energy is at the bottom of the hill.
A pendulum is fastest at the lowest point of its swing, where its kinetic energy is maximum. At this point, all the potential energy has been converted into kinetic energy, resulting in the highest speed of the pendulum.
The kinetic energy, when the pendulum is at a distance x metres from its central position is 0.5*m*q2*(p2 - x2), Newtons where m is the mass of the pendulum, assumed to be concentrated at the bottom, q is given by q = 2pi/period, p is the amplitude of the pendulum.
mechanical energy