Does the mass/size of the ball influence the arc of a pendulum?

Question

How does the length of the string or weight of the ball influence the ball?Will it's arc decrease? What else can occur?

Answer 1

the longer the string, the longer the stride/arc of the pendulum,and therefore the longer it will take for it to move form side to side. the weight of the ball on the pendulum will effect the force of gravity acting on the pendulum, thereofre pullign it down faster, so it can swing further and higher (the larger the ball gets)

Answer 2

There are several questions here:
1. Does the mass/size of the ball influence the arc of a pendulum?
If you define arc as a rate of change in the direction, that is, the amount of curve in the arc, then the mass has nothing to do with it. The mass could have an effect on the length of the arc. It takes work to move the air out of the way of the ball. A more massive ball can do this more easily, so the length of its arc would be longer than a lighter ball. In a vacuum, only the friction of the other moving parts would affect the length of the arc, but that is not included in your 1st question.
2. How does the length of the string influence the ball?
The string stops the ball from falling straight down, limiting the movement of the ball to an arc who's curve is determined by the length of the string.
3. How does the weight of the ball influence the ball?
It gives is momentum.
4. Will it's arc decrease? As friction uses up the momentum of the swinging ball, the length of the arc will decrease, but not its period.
5. What else can occur?
The pendulum can be used to drive gears which will tell the time.

;-D I hope I can get a grandfather clock someday!

Answer 3

The formula of Time period of the pendulum performing harmonic motion is T = 2 p (l/g)^-1/2. So mass of ball is not included and angle w=2 pi T also independent of mass. hence mass will not affect the arc of pendulum. The period/ arc for a simple pendulum does not depend on the mass or the initial anglular displacement, but depends only on the length L of the string and the value of the gravitational field strength g

Answer 4

It shouldnt if the pendulum is in a vacuum. However in a real situation the arc will be shorter by a very small distance due to air resistance. Finally the pendulum will stop swinging due to this fact!

Answer 5

DEAR,
The Mass of the ball dosen't affect the arc of pendulam,
The string which v use in the ball only that affect the ARC OF PENDULAM.

Answer 6

The length of the string influences the oscillation rate. The oscillation rate is constant, regardless of how much the arc; this is how grandfather clocks keep time.

Answer 7

the greater the mass of the ball, the more energy is stored at it's apex, and since air friction and pendelum center friction is what degrades the pendelum motion, the ball with greater mass has more to sustain it's movement, though the greater mass of the ball would be offset by greater friction force at the pendelum center. but it's air resistance would be the same as a lighter ball if the surfaces were of the same texture, and so would swing longer as it greater energy was used up at longer rate as a ball with less (lighter) and would swing higher on initial release as it would have a greater percentage of it's energy left at it's opposite apex upon initial release. it would swing higher and longer for a ball of equal size but greater mass

Answer 8

mass has nothing to do with it, mass is not dependent on the time period, or the swing or the arc,

the formula for time period is T=2(pie)(square root)(length/gravity)

in the whole formula we have no mass, hence the mass is not required, you make a pendulum with 2kg mass or 4 kg it will not effect.

hope it answers the question

Answer 9

it doesnot affect on the arc of the pendulum,arc of the it depends how much u displaced the pendulum frm its equibarium position and its length .
size is only affect the time period of the pendulum.

Answer 10

Laws of Simple Pendulum:
1.) For small amplitudes, the period of oscillation of a simple pendulum of constant length is independent of the amplitude.

2.) For small amplitudes, the period of oscillation of a simple pendulum of constant length is independent of the mass, size and material of the bob.

3.) For small amplitudes, the period of a simple pendulum is directly proportional to the square root of its length.

4.) For small amplitudes, the period of a simple pendulum of constant length is inversely proportional to the square root of the acceleratoin due to gravity at the place.