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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 its
swing, and the acceleration of gravity. If you know any two of them, you can calculate the
third one. You want to use this method to measure gravity ? Fine ! Massage the formula
around 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 pivot
to the center of mass of everything that swings, and the period of its swing, and the
more 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 where
you run the experiment.
What else can I help you with?
What is the formula for the angular frequency of a simple pendulum in terms of the acceleration due to gravity and the length of the pendulum?
The formula for the angular frequency () of a simple pendulum is (g / L), where g is the acceleration due to gravity and L is the length of the pendulum.
What is the formula for calculating the angular frequency of a simple pendulum?
The formula for calculating the angular frequency of a simple pendulum is (g / L), where represents the angular frequency, g is the acceleration due to gravity, and L is the length of the pendulum.
What is the significance of the simple pendulum?
The simple pendulum can be used to determine the acceleration due to gravity.
What factors determine the time period of the simple pendulum?
The time period of a simple pendulum is determined by the length of the pendulum, the acceleration due to gravity, and the angle at which the pendulum is released. The formula for the time period of a simple pendulum is T = 2π√(L/g), where T is the time period, L is the length of the pendulum, and g is the acceleration due to gravity.
How can I calculate the angular frequency, frequency, and period of a simple pendulum?
To calculate the angular frequency of a simple pendulum, use the formula (g / L), where g is the acceleration due to gravity and L is the length of the pendulum. The frequency can be found by using the formula f / (2), and the period can be calculated as T 1 / f.
What are the effects of acceleration due to gravity on the time period of a pendulum?
The period of a pendulum (in seconds) is 2(pi)√(L/g), where L is the length and g is the acceleration due to gravity. As acceleration due to gravity increases, the period decreases, so the smaller the acceleration due to gravity, the longer the period of the pendulum.
How does the period of a pendulum difference theoretically with angular displacement and mass of ball for simple pendulum?
According to the mathematics and physics of the simple pendulum hung on a massless string, neither the mass of the bob nor the angular displacement at the limits of its swing has any influence on the pendulum's period.
What is the formula for the period of a pendulum in terms of the square root of the ratio of the acceleration due to gravity to the length of the pendulum?
The formula for the period of a pendulum in terms of the square root of the ratio of the acceleration due to gravity to the length of the pendulum is T 2(L/g), where T is the period, L is the length of the pendulum, and g is the acceleration due to gravity.
What does the frequency of a pendulum depend on?
The frequency of a pendulum depends on the length of the pendulum and the acceleration due to gravity. It is described by the equation f = 1 / (2π) * √(g / L), where f is the frequency, g is the acceleration due to gravity, and L is the length of the pendulum.
How can pendulum be used to determine local gravitational acceleration?
A pendulum's period is affected by the local gravitational acceleration. By measuring the time it takes for the pendulum to complete one full swing, the gravitational acceleration can be calculated using the formula g = 4π²L/T², where g is the acceleration due to gravity, L is the length of the pendulum, and T is the period of the pendulum's swing. By rearranging this formula, the local gravitational acceleration can be determined.
What is the relationship between g and acceleration of a pendulum?
The acceleration of a pendulum is directly proportional to the acceleration due to gravity (g). The formula to calculate the acceleration of a pendulum is a = g * sin(theta), where theta is the angle between the pendulum and the vertical line. This means that an increase in g will result in a corresponding increase in the acceleration of the pendulum.
What are the factor affecting on the simple pendulum?
The factors affecting a simple pendulum include the length of the string, the mass of the bob, the angle of displacement from the vertical, and the acceleration due to gravity. These factors influence the period of oscillation and the frequency of the pendulum's motion.
