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What are the effects of thermal expansion on the period of a pendulum?
Wiki User
∙ 9y ago
If the pendulum rod expands, then the length increases, and the period increases. A close approximation for the period is T =~ 2*pi*sqrt(L/g).
Wiki User
∙ 9y ago
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How does the period of a pendulum vary?
The period depends only on the acceleration due to gravity and the length of the pendulum. Gravitational acceleration depends on the location on the surface of the earth: latitude, altitude play a part. Also, some pendulums are subject to thermal expansion and so the length changes. These factors do impact on the period of a pendulum.
What happens to pendulum clocks in summer?
Because the period is based on the length of the pendulum, an increase in temperature (such as that as occurs in summer) will make the material, normally metal, in the pendulum expand - which is why better clocks often had wooden pendulum rods. Since it is longer its period increases and makes the clock run slower than normal. Numerous inventions were developed to counteract this effect, most taking advantage of the properties of thermal expansion of various materials and how they are arranged in the pendulum.
What are the limitation of simple pendulum?
The popular formula for the period of a pendulum works only for small angular displacements. In deriving it, you need to assume that theta, the angular displacement from the vertical, measured in radians, is equal to sin(theta). If not, you need to make much more complicated calculations. There are also other assumptions to simplify the formula - eg string is weightless. The swing of the pendulum will precess with the rotation of the earth. This may not work if the pendulum hits its stand! See Foucault's Pendulum (see link). The motion of the pendulum will die out as a result of air resistance. Thermal expansion can change the length of the pendulum and so its period.
What effect does shortening the length of the pendulum have on the period of the pendulum?
A shorter pendulum has a shorter period. A longer pendulum has a longer period.
How does the period of a pendulum change for length?
A longer pendulum has a longer period. A more massive pendulum has a longer period.
What will increase the period of pendulum?
Thermal expansion, moving it to a higher location (gravity becomes weaker), immerse it in a more viscous medium.
How does the period of a pendulum vary?
The period depends only on the acceleration due to gravity and the length of the pendulum. Gravitational acceleration depends on the location on the surface of the earth: latitude, altitude play a part. Also, some pendulums are subject to thermal expansion and so the length changes. These factors do impact on the period of a pendulum.
What happens to pendulum clocks in summer?
Because the period is based on the length of the pendulum, an increase in temperature (such as that as occurs in summer) will make the material, normally metal, in the pendulum expand - which is why better clocks often had wooden pendulum rods. Since it is longer its period increases and makes the clock run slower than normal. Numerous inventions were developed to counteract this effect, most taking advantage of the properties of thermal expansion of various materials and how they are arranged in the pendulum.
What are the limitation of simple pendulum?
The popular formula for the period of a pendulum works only for small angular displacements. In deriving it, you need to assume that theta, the angular displacement from the vertical, measured in radians, is equal to sin(theta). If not, you need to make much more complicated calculations. There are also other assumptions to simplify the formula - eg string is weightless. The swing of the pendulum will precess with the rotation of the earth. This may not work if the pendulum hits its stand! See Foucault's Pendulum (see link). The motion of the pendulum will die out as a result of air resistance. Thermal expansion can change the length of the pendulum and so its period.
What effect does shortening the length of the pendulum have on the period of the pendulum?
A shorter pendulum has a shorter period. A longer pendulum has a longer period.
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 change for length?
A longer pendulum has a longer period. A more massive pendulum has a longer period.
How does length effect the period of a pendulum?
A longer pendulum has a longer period.
How does height affect the period of a pendulum?
Height does not affect the period of a pendulum.
Which factor affects the period of the pendulum?
The period of a pendulum is affected by the angle created by the swing of the pendulum, the length of the attachment to the mass, and the weight of the mass on the end of the pendulum.
In simple pendulum if string is flexible then what is effect on time period?
multiply the length of the pendulum by 4, the period doubles. the period is proportional to the square of the pendulum length.
Which variable affect the period of a swinging pendulum?
Since T=2pi*sqrt(l/g) and l is the only variable that effects T that is the period it is the length.
