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Set the pendulum swinging, with only a very small initial angular displacement. Measure the time taken to complete a certain number of oscillations, and then establish the average duration T of an oscillation. If the length of the pendulum is L, then gravitational field strength g is approximated by g = ~4pi2L/T2 This result derives from the modelling of the pendulum as a simple harmonic oscillator; for this to be a realistic model, the amplitude of oscillations must be small.
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Discussion of the measurement of gravity by a bar pendulum?
A bar pendulum is a simple pendulum with a rigid bar instead of a flexible string. Gravity can be measured using a bar pendulum by observing the period of oscillation, which relates to the acceleration due to gravity. By timing the pendulum's swing and applying the appropriate formulae, the value of gravity can be calculated. This method provides a simple and effective way to measure gravity in a laboratory setting.
How to determine the value of g?
The acceleration due to gravity (g) on Earth is typically considered to be approximately 9.81 m/s^2. This value is commonly used in physics calculations and can be measured using experiments involving free fall or pendulum motion. It is important to note that g may vary slightly depending on location due to factors such as altitude and latitude.
Value of g by simple pendulum?
You can build a simple pendulum - one that has most of its mass concentrated in a small place, at the end of the pendulum. Measure the pendulum's length, and measure how long it takes to go back and forth. Use the formula for the period of a pendulum, solving for "g".
What is the effect of changing length or mass of the pendulum on the value of g?
Changing the length or mass of a pendulum does not affect the value of acceleration due to gravity (g). The period of a pendulum depends on the length of the pendulum and not on its mass. The formula for the period of a pendulum is T = 2π√(L/g), where T is the period, L is the length of the pendulum, and g is the acceleration due to gravity.
What is the relationship between the value of pi squared and the acceleration due to gravity?
The relationship between the value of pi squared () and the acceleration due to gravity is that the square of pi () is approximately equal to the acceleration due to gravity (g) divided by the height of a pendulum. This relationship is derived from the formula for the period of a pendulum, which involves both pi squared and the acceleration due to gravity.
Discussion of the measurement of gravity by a bar pendulum?
A bar pendulum is a simple pendulum with a rigid bar instead of a flexible string. Gravity can be measured using a bar pendulum by observing the period of oscillation, which relates to the acceleration due to gravity. By timing the pendulum's swing and applying the appropriate formulae, the value of gravity can be calculated. This method provides a simple and effective way to measure gravity in a laboratory setting.
How to determine the value of g?
The acceleration due to gravity (g) on Earth is typically considered to be approximately 9.81 m/s^2. This value is commonly used in physics calculations and can be measured using experiments involving free fall or pendulum motion. It is important to note that g may vary slightly depending on location due to factors such as altitude and latitude.
Value of g by simple pendulum?
You can build a simple pendulum - one that has most of its mass concentrated in a small place, at the end of the pendulum. Measure the pendulum's length, and measure how long it takes to go back and forth. Use the formula for the period of a pendulum, solving for "g".
What is the effect of changing length or mass of the pendulum on the value of g?
Changing the length or mass of a pendulum does not affect the value of acceleration due to gravity (g). The period of a pendulum depends on the length of the pendulum and not on its mass. The formula for the period of a pendulum is T = 2π√(L/g), where T is the period, L is the length of the pendulum, and g is the acceleration due to gravity.
What is the relationship between the value of pi squared and the acceleration due to gravity?
The relationship between the value of pi squared () and the acceleration due to gravity is that the square of pi () is approximately equal to the acceleration due to gravity (g) divided by the height of a pendulum. This relationship is derived from the formula for the period of a pendulum, which involves both pi squared and the acceleration due to gravity.
To determine the value of g acceleration due to gravity by means of an angular pendulum?
The period (time) of one swing of a pendulum is(2 pi) times the square root of (pendulum length / acceleration of gravity). There are three variables in this formula ... the length of the pendulum, the period of itsswing, and the acceleration of gravity. If you know any two of them, you can calculate thethird one. You want to use this method to measure gravity ? Fine ! Massage the formulaaround to this form Acceleration of gravity = (length of the pendulum) times (2 pi/period)2 then start measuring and swinging.The more accurately you can measure the length of your pendulum, from the pivotto the center of mass of everything that swings, and the period of its swing, and themore completely you can isolate everything from outside influences, like air currents,the more accurately you can calculate the acceleration of gravity, in the exact place whereyou run the experiment.
Would be value of g be affected if the size of the Bob is varied in simple pendulum experiment?
No, the value of acceleration due to gravity (g) would not be affected by changing the size of the bob in a simple pendulum experiment. The period of a simple pendulum is determined by the length of the pendulum and the gravitational acceleration at that location, not the size of the bob.
To determine the value of g acceleration due to gravity by means of a compound pendulum?
you can also use a simple pendulum to do it. your brain is full of problems if you cant do it by the easier wayForget thatgo on to this site and it gives you a method/procedure also go through www.phy.iitkgp.ernet.in/1styr/11-compound-pendulum.pdf
What will happen to value of g if compound pendulum is taken nearer to the centre of the earth?
The acceleration of gravity decreases as the observation point is taken deeper beneath the surface of the Earth, but it's not the location of the compound pendulum that's responsible for the decrease.
What will happen to the value of g if the compound pendulum is taken nearer to the centre of earth?
The value of g would increase if the compound pendulum is taken nearer to the center of the Earth. This is because gravity is stronger closer to the Earth's surface. Conversely, if the compound pendulum is moved further away from the center of the Earth, the value of g would decrease.
How would the time period of a simple pendulum clock be affected if it were on the moon instead of the earth?
The time period of a pendulum would increases it the pendulum were on the moon instead of the earth. The period of a simple pendulum is equal to 2*pi*√(L/g), where g is acceleration due to gravity. As gravity decreases, g decreases. Since the value of g would be smaller on the moon, the period of the pendulum would increase. The value of g on Earth is 9.8 m/s2, whereas the value of g on the moon is 1.624 m/s2. This makes the period of a pendulum on the moon about 2.47 times longer than the period would be on Earth.
Does the mass of the pendulum bob affect the value of g why?
The value of gravitational acceleration 'g' is totally unaffected by changing mass of the body. We are not talking about weight of the pendulum. It is the value 'g' we are talking about, which remains unaffected by changing mass as: g= ((2xpie)2)xL)/T2 where, g= gravitational acceleration L= length of simple pendulum T= time period in which the pendulum completes its single vibration or oscillation
