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%.
For a simple pendulum: Period = 6.3437 (rounded) seconds
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.
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.
it depends on what b is in the equation. Period = 360 degrees / absolute value of b.
y = 3 sin x The period of this function is 2 pi.
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.
A shorter pendulum has a shorter period. A longer pendulum has a longer period.
pendulum length (L)=1.8081061073513foot pendulum length (L)=0.55111074152067meter
A longer pendulum has a longer period.
multiply the length of the pendulum by 4, the period doubles. the period is proportional to the square of the pendulum length.
A longer pendulum has a longer period. A more massive pendulum has a longer period.
Increase the length of the pendulum
The period is directly proportional to the square root of the length.
The length of the pendulum and the gravitational pull.
They determine the length of time of the pendulum's swing ... its 'period'.
The pendulum's length is 0.36 meters or 1.18 feet.
of course ... the length of the pendulum ... :) base on our experiment >>>