A simple pendulum, ideally consists of a large mass suspended from a fixed point by an inelastic light string. These ensure that the length of the pendulum from the point of suspension to its centre of mass is constant.
If the pendulum is given a small initial displacement, it undergoes simple harmonic motion (SHM). Such motion is periodic, that is, the time period for oscillations are the same.
The time of swing of a pendulum is T = 2π √ (l/g) where l is the length of the pendulum. As T ∝√l (Time is directly proportional to the square root of l) then, the longer the pendulum, the greater is the period. Therefore longer pendulums have longer periods than shorter pendulums.
Because length of the pendulum which is equal to distance between the point of suspension and g is the gravitational acceleration and a body repeats its to and fro motion in equal interval of time that's why we cant take standard time period.
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The longer the length of the pendulum, the longer the time taken for the pendulum to complete 1 oscillation.
The longer a pendulum is, the more time it takes a pendulum takes to complete a period of time. If a clock is regulated by a pendulum and it runs fast, you can make it run slower by making the pendulum longer. Likewise, if the clock runs slow, you can make your clock run faster by making the pendulum shorter. (What a pendulum actually does is measure the ratio between time and gravity at a particular location, but that is beyond the scope of this answer.)
A time period is a measure of a basic phenomenon : the passage of time. Time periods are independent of human beings or even of life of any form. A simple pendulum is a man-made device to make approximate measurements of time periods.
The time of swing of a pendulum is T = 2π √ (l/g) where l is the length of the pendulum. As T ∝√l (Time is directly proportional to the square root of l) then, the longer the pendulum, the greater is the period. Therefore longer pendulums have longer periods than shorter pendulums.
The time period T of a pendulum is given by T = 2π√(L/g), where g is the acceleration due to gravity. It is the time taken for the pendulum to complete one full oscillation. The length of the pendulum, L, affects the time period - longer pendulums have longer time periods.
You make a pendulum with a basbeall attached to an end of the string. you are testing the periods and oscillation movements of the pendulum.
Pendulum-based clocks require weights or springs to operate for extended periods of time because they provide the necessary energy to keep the pendulum swinging and the gears moving, ensuring accurate timekeeping. Without these energy sources, the clock would stop running once the initial force used to start it runs out.
Because length of the pendulum which is equal to distance between the point of suspension and g is the gravitational acceleration and a body repeats its to and fro motion in equal interval of time that's why we cant take standard time period.
The pendulum in a pendulum clock helps regulate the timekeeping by controlling the speed at which the gears turn. As the pendulum swings back and forth, it creates a metronome-like effect that ensures the clock keeps accurate time by consistently counting out equal intervals.
A pendulum clock is a clock that uses a pendulum as its timekeeping element. The swinging motion of the pendulum regulates the movement of the clock's gears, allowing it to keep accurate time. The length of the pendulum determines the clock's timekeeping accuracy.
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Doubling the mass of a pendulum will not affect the time period of its oscillation. The time period of a pendulum depends on the length of the pendulum and the acceleration due to gravity, but not on the mass of the pendulum bob.
A pendulum may not be a reliable time standard because its swing can be affected by factors like air resistance, temperature changes, and vibrations, leading to fluctuations in its period. This can result in inaccuracies in timekeeping over long periods. Electrically powered oscillators, like atomic clocks, are more stable and accurate time standards because they are less affected by external influences.
The longer the length of the pendulum, the longer the time taken for the pendulum to complete 1 oscillation.