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When the K E of a pendulum is at half its maximum value how much P E does it posses?
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Explain how energy is conserved in the simple pendulum?
Remember the formula used to calculate the gravitational potential energy of a mass given its mass and height above an arbitrary zero level isPEgravity = mghWhen a pendulum is pulled back from equilibrium through an angle θ, its height is calculated with the formulah = L - L cos θwhere θ is the angular displacementThe formula used to calculate the kinetic energy of a massive particle isKE = ½ mv2In the absence of non-conservative forces, such as friction or applied, external forces, the mechanical energy in a system is conserved. That isDuring the swing of a simple pendulum, when does the bob possess maximum PE?PE is maximum at the endpoints (maximum amplitude)During the swing of a simple pendulum, when does the bob possess maximum KE?KE is maximum at equilibrium (bottom position)During the swing of a simple pendulum, what is the magnitude of the bob's maximum velocity?Another way of looking at conservation of energy is with the following energy diagram. As you can see,the "purple" curve represents the pendulum bob's KE which during each cycle begins with an initial value of zero, increases to a maximum value, and then returns to zerothe "green" curve represents the PE of the bob which begins each cycle at a maximum value, then becomes zero as the bob passes through its equilibrium position, and returns to its maximum valuethe "brown" line represents the total energy of the pendulum bob that always remains constantIf a pendulum is initially released at an angle of 37º, at what angle will its PE and the KE be equal?25.9ºRefer to the following information for the next question.At any intermediate position during the oscillation, the pendulum bob would have both PE and KE.PEmax = PEintermediate + KEintermediate = KEmaxIf the pendulum was released at point A, derive an expression for the pendulum's instantaneous velocity at point B, an intermediate position in its swing.See the related lesson on vertical circles if you are asked to calculate the tension of the string during the pendulum's oscillation. Remember that a pendulum is merely the bottom half of a vertical circle! These conservation of energy methods are the easiest way to determine an object's speed so that tensions can be calculated.
What are the physical and medical applications of the simple pendulum experiment?
1- Walking: Some aspects of walking can be analyzed in terms of the simple harmonic motion of a pendulum. The motion of one foot in each step can be considered as approximately a half-cycle of a simple harmonic motion. 2- Energy Expended in Running: During each step of the run, the leg is accelerated to a maximum angular velocity ωmax. In our pendulum model, this maximum angular velocity is reached as the foot swings past the vertical position =0. 3- Carrying Loads.
Where the kinetic energy and potential energy becomes equal in simple pendulum?
A pendulum oscillates between two stationary points at the ends of its swing, with maximum speed at the center of the swing. So the kinetic energy is highest at the swing center where it is travelling fastest, and drops to zero at the stationary end points. The potential energy does the opposite, being a maximum at the ends and minimum in the center.
What if your grandfather clock's pendulum has a length of 0.9930 m If the clock loses half a minute per day how should you adjust the length of the pendulum?
make shorter length
Does the force of gravity do any work on a pendulum bob?
During the half-arc when the pendulum bob is falling toward the center, gravity is doing work on it ... exerting a force which moves through a distance ... and adding to its kinetic energy. During the other half, when the bob is moving up from the center, it's using its own kinetic energy to work against gravity. That moves it to a higher elevation, adding to its gravitational potential energy, and placing it in a position from which it can fall again.
The highest value reached by an alternating voltage in a half cycle is called?
maximum or peak value
Explain how energy is conserved in the simple pendulum?
Remember the formula used to calculate the gravitational potential energy of a mass given its mass and height above an arbitrary zero level isPEgravity = mghWhen a pendulum is pulled back from equilibrium through an angle θ, its height is calculated with the formulah = L - L cos θwhere θ is the angular displacementThe formula used to calculate the kinetic energy of a massive particle isKE = ½ mv2In the absence of non-conservative forces, such as friction or applied, external forces, the mechanical energy in a system is conserved. That isDuring the swing of a simple pendulum, when does the bob possess maximum PE?PE is maximum at the endpoints (maximum amplitude)During the swing of a simple pendulum, when does the bob possess maximum KE?KE is maximum at equilibrium (bottom position)During the swing of a simple pendulum, what is the magnitude of the bob's maximum velocity?Another way of looking at conservation of energy is with the following energy diagram. As you can see,the "purple" curve represents the pendulum bob's KE which during each cycle begins with an initial value of zero, increases to a maximum value, and then returns to zerothe "green" curve represents the PE of the bob which begins each cycle at a maximum value, then becomes zero as the bob passes through its equilibrium position, and returns to its maximum valuethe "brown" line represents the total energy of the pendulum bob that always remains constantIf a pendulum is initially released at an angle of 37º, at what angle will its PE and the KE be equal?25.9ºRefer to the following information for the next question.At any intermediate position during the oscillation, the pendulum bob would have both PE and KE.PEmax = PEintermediate + KEintermediate = KEmaxIf the pendulum was released at point A, derive an expression for the pendulum's instantaneous velocity at point B, an intermediate position in its swing.See the related lesson on vertical circles if you are asked to calculate the tension of the string during the pendulum's oscillation. Remember that a pendulum is merely the bottom half of a vertical circle! These conservation of energy methods are the easiest way to determine an object's speed so that tensions can be calculated.
What are the physical and medical applications of the simple pendulum experiment?
1- Walking: Some aspects of walking can be analyzed in terms of the simple harmonic motion of a pendulum. The motion of one foot in each step can be considered as approximately a half-cycle of a simple harmonic motion. 2- Energy Expended in Running: During each step of the run, the leg is accelerated to a maximum angular velocity ωmax. In our pendulum model, this maximum angular velocity is reached as the foot swings past the vertical position =0. 3- Carrying Loads.
Where the kinetic energy and potential energy becomes equal in simple pendulum?
A pendulum oscillates between two stationary points at the ends of its swing, with maximum speed at the center of the swing. So the kinetic energy is highest at the swing center where it is travelling fastest, and drops to zero at the stationary end points. The potential energy does the opposite, being a maximum at the ends and minimum in the center.
What if your grandfather clock's pendulum has a length of 0.9930 m If the clock loses half a minute per day how should you adjust the length of the pendulum?
make shorter length
How many times the pendulum of the clock moves in 30 minutes?
That depends on the period of the clock's pendulum. If we assume it's one second, then it does 1800 cycles in half an hour.
What is link between maximum current and average current?
You are, presumably, referring to alternating current, in which case the 'maximum' current is the peak or amplitude of the waveform. The 'average' value of current is zero, because the average value of the first half of each cycle is negated by the average value over the second half of each cycle. This is why a.c. currents and voltages are always expressed in 'root-mean-square' (r.m.s.) values which is the value of an a.c. current that does the same amount of work as a given value of d.c. current. The r.m.s. value for a sinusoidal current (and voltage, as voltage and current are proportional) is 0.707 times the peak or maximum value.
How do you convert into maximum current if the average current is given?
Presumably you are referring to an a.c. current?If so, then the average value of an a.c. current is zero so, clearly, you cannot determine its maximum value.However, average current is more-usually applied over half a cycle, in which case, for a sinusoidal current, this value is 0.637 Imax. So the maximum current will be the average value, divided by 0.637.
What is bandwidth in LCR connection?
The bandwidth is the difference between the frequencies at which the average power dissipated is one half the maximum value or current is 1/square root(2) times its maximum value. One frequency is greater than and the other is smaller than resonant frequency and they are symmetrical about it.
At what launch angle or angles will the projectile land at half of its maximum possible range?
The half maximum range of a projectile is launched at an angle of 15 degree
Why is the half dime called a half dime?
Because the value of it is worth half the value of a dime.
What is the effect on time period of pendulum if its length is half?
Use the formula t = 2*pi*sqrt(l/g)
