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What kind of graph would result if the period of the pendulum T were graphed as a function of the square root of the length of the pendulum?
With a simple pendulum, provided the angular displacement is less than pi/8 radians (22.5 degrees) it will be a straight line, through the origin, with a slope of 2*pi/sqrt(g) where g is the acceleration due to gravity ( = 9.8 mtres/sec^2, approx). For larger angular displacements the approximations used in the derivation of the formula no longer work and the error is over 1%.
What else can I help you with?
What would be the period of a pendulum with the length of 10 meters?
For a simple pendulum: Period = 6.3437 (rounded) seconds
Why does the graph of length against period not pass through the origin?
If the question is about a pendulum, the answer is that it should. However, the square-root of the length is directly proportional to the length so that the relationship between the two variables is not linear but quadratic. If the graph is extrapolated accordingly, then it will. There may still be an element of measurement error which may prevent the graph from going exactly through the origin.
What is the is period of cosh y?
Since cosh is based on the exponential function, it has the same period as the exponential function, namely, 2 pi i.Note: If you consider only the real numbers, the exponential function, as well as cosh, are NOT periodic.
What is the period for the tangent function?
it depends on what b is in the equation. Period = 360 degrees / absolute value of b.
What is the period for y-3 sin x?
y = 3 sin x The period of this function is 2 pi.
Does the length of pendulum affect the period of vibration?
Yes. Given a constant for gravity, the period of the pendulum is a function of it's length to the center of mass. In a higher gravity, the period would be shorter for the same length of pendulum.
How does the period of a pendulum change for length?
The period of a pendulum is directly proportional to the square root of its length. As the length of a pendulum increases, its period increases. Conversely, if the length of a pendulum decreases, its period decreases.
What happens to the period o a pendulum when its length is increased?
If the length of a pendulum is increased, the period of the pendulum also increases. This relationship is described by the equation for the period of a pendulum, which is directly proportional to the square root of the length of the pendulum. This means that as the length increases, the period also increases.
How does the length affect pendulum in a period?
The period of a pendulum is independent of its length. The period is determined by the acceleration due to gravity and the length of the pendulum does not affect this relationship. However, the period of a pendulum may change if the amplitude of the swing is very wide.
How does length effect the period of a pendulum?
A longer pendulum has a longer period.
What is the length of a pendulum with a period of 1.49 s?
pendulum length (L)=1.8081061073513foot pendulum length (L)=0.55111074152067meter
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.
How can you increase the period of a pendulum?
Increase the length of the pendulum
Does the weight effect the period of a pendulum?
Yes, the period of a pendulum is not affected by the weight of the pendulum bob. The period is determined by the length of the pendulum and the acceleration due to gravity. A heavier pendulum bob will swing with the same period as a lighter one of the same length.
What is the relationship between the period of a pendulum and the pendulum length?
The period of a pendulum is directly proportional to the square root of its length. This means that as the pendulum length increases, the period also increases. This relationship is described by the formula T = 2π √(L/g), where T is the period, L is the length of the pendulum, and g is the acceleration due to gravity.
How does the period of a pendulum difference theoretically with length for simple pendulum?
The period is directly proportional to the square root of the length.
What does the period of a pendulum depend on?
The length of the pendulum and the gravitational pull.
