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What is the relationship between the maximum velocity and length of a pendulum?
Wiki User
∙ 13y ago
f = (mv^2)/r therefore the longer the length (ie. r) then the smaller the velocity, if the force is assumed to be constant.
Wiki User
∙ 13y ago
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Give example where the velocity of the particle is 0 and acceleration is maximum?
When a pendulum reaches its maximum elongation the velocity is zero and the acceleration is maximum
Why acceleration is maximum at extreme points of simple pendulum?
f=ma that in equilibrium postion the force are zero that why the in sample pendulum the force is zero that mean that acceleration is also zero that point velocity is maximum
What happens to the acceleration of a simple pendulum as it approaches the lowest point of its swing?
The velocity reaches a maximum, and the pendulum will begin to decelerate. Because the acceleration is the derivative of the velocity, and the derivative at the location of an extrema is zero, the acceleration goes to zero.
When does a pendulum have the most momentum?
When the pendulum is at its lowest point, it has the least potential energy. Therefore, logically, due to conservation of energy, its kinetic energy is at its maximum. Therefore its speed is also at its maximum, as well as its momentum (velocity x mass).
What is the angular velocity of a 6 and ndashfoot pendulum that takes 3 seconds to complete an arc of 14.13 feet Use 3.14 for and pi.?
The whole point of a pendulum is that is swings back and forth. It does not travel at constant angular velocity: the angular velocity is zero at the two ends of its arc and it reaches a maximum when the pendulum is vertical. Consequently there cannot be a sensible answer to the question as asked.The average angular velocity, which is an entirely different measure, is 45 degrees per second.
The angle between the string of a pendulum at its equilibrium position and at its maximum displacement is the pendulums?
amplitude
When does a pendulum swing have the most momentum?
At the bottom of it's swing. This is because it has accelerated to it's peak velocity due to gravity.
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.
What is special about pendulum swing?
No matter how high you set a pendulum, the amount of time for it to take one arc (maximum to maximum) will always remain the same.
The maximum velocity of a ball as it drops is 12 meters per second. The maximum velocity of the ball after the first bounce is -6 meters per second. What is the difference between the two velocities?
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What is the difference between optimum velocity and maximum velocity?
Maximum velocity is the fastest an intem can go, while optimum velocity is the "best" speed it can travel on. For a car optimum velocity could mean either where you get the best MPG, or where you can go round corners/over bumps without the car starting swaying, or something like that.
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.
