Science

posted by .

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

• Science -

Thank you for using the Jiskha Homework Help Forum. Try the following about a pendulum:

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

• Science -

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.

Similar Questions

1. Scince

How the change of amplitude effects the time of one cycle of a pendulum?
2. 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 long …
3. 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 to …
4. 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 approximately …
5. 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 approximately …
6. 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?
7. 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?
8. 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 fractional …
9. 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 pendulum …
10. Physics

I understand this question: 4. If a pendulum completes 40 vibrations in a minute, what is its period?

More Similar Questions