Science

How the change of amplitude effects the time of one cycle of a pendulum?

  1. 👍 0
  2. 👎 0
  3. 👁 59
asked by anum
  1. Thank you for using the Jiskha Homework Help Forum. Try the following about a pendulum:

    www.explorelearning.com/View/documents/EG_Pendulum2.pdf

    (PDF file to download)

    1. 👍 0
    2. 👎 0
  2. Denote the length of the pendulum by L and the amplitude by A. The period (time of one cycle) is given by:

    T = 2 pi sqrt(L/g) [1 + 1/16 (A/L)^2 + term of order (A/L)^4]

    So, increasing the amplitude will make the period longer. The effect is proportional to (A/L)^2 and thus becomes very small if the length is much larger than the amplitude.

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. Scince

    How the change of amplitude effects the time of one cycle of a pendulum?

    asked by anum on February 22, 2008
  2. Calculus application of sin function

    a horizontal position of the pendulum of a grandfather clock can be modelled by h(t)=Acos(2(pi)t/T), where A is amplitude of the pendulum in meters, t is time in seconds, and T is the period of the pendulum, in seconds. If the

    asked by Matt on November 25, 2016
  3. Algebra

    The length of time, t (in seconds), it takes the pendulum of a clock to swing through one complete cycle is a function of the length of the pendulum in feet. Defined by: t = f(L) = 2pi sqrt L/32 A.Rewrite the formula using

    asked by Skipper on April 14, 2016
  4. Physics plz help

    (a) What is the energy of a pendulum (L = 0.9 m, m = 0.4 kg) oscillating with an amplitude of 4.3 cm? (b) The pendulum's energy loss (due to damping) is replaced in a clock by allowing a 2.3-kg mass to drop 1.0 m in 1 week. What

    asked by Ally on June 25, 2012
  5. Physics

    (a) What is the energy of a pendulum (L = 0.9 m, m = 0.4 kg) oscillating with an amplitude of 4.3 cm? (b) The pendulum's energy loss (due to damping) is replaced in a clock by allowing a 2.3-kg mass to drop 1.0 m in 1 week. What

    asked by Ally on June 25, 2012
  6. algebra

    Time to swing. The period T (time in seconds for one complete cycle) of a simple pendulum is related to the length L (in feet) of the pendulum by the formula 8T^2=n ^2 L. If a child is on a swing with a 10 foot chain, then how

    asked by paul on July 15, 2010
  7. math

    The period T (time in seconds for one complete cycle) of a simple pendulum is related to the length L (in feet) of the pendulum by the formula 8T^2=Pi^2L. If a child is on a swing with a 10-foot chain, then how long does it take

    asked by R on July 18, 2010
  8. algebra

    The Length of time (T) in seconds it takes the pendulum of a clock to swint through one complete cycle is given by the formula T=2pie square root of 7 divided by 32 where L is the length in feet, of the pendulum, and pie is

    asked by Carolyn on April 16, 2011
  9. Math

    The length of time (T) in seconds it takes the pendulum of a clock to swing through one complete cycle is givenby the formula T=2pi square root of L divided by 32 where L is the length in feet, of the pendulum, and pi is

    asked by Carolyn on April 16, 2011
  10. physics

    The mass of a pendulum moves a total horizontal distance of 14cm in one cycle. What is the amplitude of the vibration?

    asked by kai on December 2, 2014

More Similar Questions