The period of a pendulum is approximated by the equation T = 2 pi square-root (L / g). Note: This is only an approximation, applicable only for very small angles of swing. At larger angles, a circular error is introduced, but the basic equation still holds true.
Looking at that equation, you see that time is proportional to the square root of the length of the pendulum, so to double the period of a pendulum you need to increase its length by a factor of four.
A longer pendulum has a longer period. A more massive pendulum has a longer period.
The period is proportional to the square root of the length so if you quadruple the length, the period will double.
It doesn't. Period depends on the length of the pendulum and the acceleration of gravity. Adding weight doesn't change the period at all.
A shorter pendulum has a shorter period. A longer pendulum has a longer period.
A longer pendulum has a longer period.
pendulum length (L)=1.8081061073513foot pendulum length (L)=0.55111074152067meter
multiply the length of the pendulum by 4, the period doubles. the period is proportional to the square of the pendulum length.
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.
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.
The formula for the frequency of the pendulum is w2=g/l if you wish to double your period w1, you want to have w2 = 2*w1 The needed length of the pendulum is then l2 = g / w22 = g /(4 * w12) = 0.25 * g / w12 = 0.25 * l1 l2 / l1 = 1/4 You must shorten the length of the pendulum to 1/4 of its former size.