0
Add your answer:
Earn +20 pts
What will be the time period of a pendulum if it's length is made one fourth of it?
Since the period of a simple pendulum (for short swings) in proportional to the square root of its length, then making the length one quarter of its original length would make the period one half of its original period.Periodapproximately = 2 pi square root (length/acceleration due to gravity)
How Can a compound pendulum be treated as a simple pendulum?
the period T of a rigid-body compound pendulum for small angles is given byT=2π√I/mgRwhere I is the moment of inertia of the pendulum about the pivot point, m is the mass of the pendulum, and R is the distance between the pivot point and the center of mass of the pendulum.For example, for a pendulum made of a rigid uniform rod of length L pivoted at its end, I = (1/3)mL2. The center of mass is located in the center of the rod, so R = L/2. Substituting these values into the above equation gives T = 2π√2L/3g. This shows that a rigid rod pendulum has the same period as a simple pendulum of 2/3 its length.
How does the period of a pendulum vary theoretically with angular displacement?
In the standard derivation of pendulum characteristics, at least through high schooland undergraduate Physics, an approximation is always made that assumes a smallangular displacement.With that assumption, the angular displacement doesn't appear in the formula forthe period, i.e. the period depends on the pendulum's effective length, and isindependent of the angular displacement.
What is the purpose of a pendulum?
Pendulums have been used for thousands of years as a time keeping device in various civilizations. Assuming that it is only displaced by a small angle, a pendulum wall have a period of 2pi*√(L/g) where L is the length of the pendulum and g is the acceeleration due to gravity, normally 9.81m/s². One of the cool things about pendulums is that if one is made with a length of one meter, it will have a period of 2.00607 seconds, meaning it will take just slightly more than one second to swing from one side to another.
What predictions can be made about the number of lines of symmetry in a polygon that has 6sides pf the same length?
four lines
Which length of the pendulum made the most number of swing?
The length of the pendulum that made the most number of swings is the longest one. Longer pendulums have a longer period of oscillation, allowing them to swing back and forth more times before coming to a stop.
Which variables made no difference in the number of swings?
Assuming that this question concerns a pendulum: there are infinitely many possible answers. Among these are: the name of the person swinging the pendulum, the colour of the pendulum, the day of the week on which the experiment is conducted, the mass of the pendulum, my age, etc.
What will be the time period of a pendulum if it's length is made one fourth of it?
Since the period of a simple pendulum (for short swings) in proportional to the square root of its length, then making the length one quarter of its original length would make the period one half of its original period.Periodapproximately = 2 pi square root (length/acceleration due to gravity)
How Does the angle affect the simple pendulum?
The angle at which the simple pendulum is released affects the period of its oscillation. A larger initial angle will produce a longer period as the pendulum swings back and forth. This is because the gravitational force is resolved into two components, one along the path of motion and one perpendicular to it.
What astronomer discovered the laws of pendulum motion?
The laws of pendulum motion were discovered by Galileo Galilei, an Italian astronomer and physicist. He made groundbreaking observations on the regularity of pendulum swings, laying the foundation for the study of dynamics.
What energy does pendulum have?
A pendulum has mechanical energy, which is made up of potential energy due to its height above the equilibrium position and kinetic energy due to its motion as it swings back and forth. This energy is constantly changing between potential and kinetic as the pendulum moves.
Does temperature effects the simple pendulum having metallic wire?
Yes, temperature can have an impact on a simple pendulum made with a metallic wire. As the temperature changes, the length of the wire can expand or contract, which can affect the period of the pendulum's swing. This change in length can cause the pendulum to either speed up or slow down.
How Can a compound pendulum be treated as a simple pendulum?
the period T of a rigid-body compound pendulum for small angles is given byT=2π√I/mgRwhere I is the moment of inertia of the pendulum about the pivot point, m is the mass of the pendulum, and R is the distance between the pivot point and the center of mass of the pendulum.For example, for a pendulum made of a rigid uniform rod of length L pivoted at its end, I = (1/3)mL2. The center of mass is located in the center of the rod, so R = L/2. Substituting these values into the above equation gives T = 2π√2L/3g. This shows that a rigid rod pendulum has the same period as a simple pendulum of 2/3 its length.
What variables affect how fast a pendulum swings?
The factors that affect the speed of a pendulum swing include the length of the pendulum, the angle at which it is released, and the force of gravity acting on it. In general, a longer pendulum will swing more slowly, while a shorter pendulum will swing faster. Additionally, increasing the angle of release will cause the pendulum to swing faster.
What is the reason of pendulum clocks become slow in summer?
Pendulum clocks can become slow in summer due to expansion of materials in warmer temperatures, which can affect the length of the pendulum and thus the timing of the clock. As the pendulum lengthens, it takes longer to complete each swing, leading to a slower overall timekeeping.
What causes the foucault pendulum to change direction?
The Foucault Pendulum changes direction due to the rotation of the Earth. As the Earth rotates, the pendulum's plane of swing remains fixed while the Earth rotates beneath it, causing the apparent change in direction. This phenomenon is known as the Coriolis effect.
How does the period of a pendulum vary theoretically with angular displacement?
In the standard derivation of pendulum characteristics, at least through high schooland undergraduate Physics, an approximation is always made that assumes a smallangular displacement.With that assumption, the angular displacement doesn't appear in the formula forthe period, i.e. the period depends on the pendulum's effective length, and isindependent of the angular displacement.
