Physics

"The exact relationship for the period T of a simple pendulum is T=2*pi*sqrt_of(l/g) where l is the length of the pendulum, and g is the acceleration of gravity."

I have to rearrange the formula to where you solve for l instead of t. I started to try to do it, but I don't think I started off correctly. Does anybody know how to do this? Thanks!

  1. 👍
  2. 👎
  3. 👁
  1. T = 2 pi sqrt (L/g)
    T^2 = 4 pi^2 L/g
    g T^2 = 4 pi^2 L

    L = g T^2 / (4 pi^2)

    1. 👍
    2. 👎
  2. Oh, okay! See, I got the second step right, I just thought it was way off track. Thanks!

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. physics # 5

    5. The length of a simple pendulum with a period on Earth of one second is most nearly a.) 0.12 m b.) 0.25 m c.) 0.50 m d.) 1.0 m e.) 10.0 m The formula for the period is P = 2 pi sqrt(L/g) g is the acceleration of gravity, 9.8

  2. Physics

    A simple pendulum in a certain planet is found to vibrate 50 times in 100s. Find its (a) period, (b) its frequency. (c) When 1.5m of its length is cut, it vibrates 50 times in 50 s. Find the original length of the pendulum. thanks

  3. Physics

    A simple pendulum suspended in a rocket ship has a period To. Assume that the rocket ship is near the earth in a uniform gravitational field. Determine for each of the following statements whether it is correct or incorrect. If

  4. physics 2

    A simple pendulum is 8.00 m long. (a) What is the period of small oscillations for this pendulum if it is located in an elevator accelerating upward at 3.00 m/s2? (b) What is the period of small oscillations for this pendulum if

  1. math

    The formula T=2*pi*sqrt[L/g] gives the period of a pendulum of length l feet. The period P is the number of seconds it takes for the pendulum to swing back and forth once. Suppose we want a pendulum to complete three periods in 2

  2. Physics

    The oscillation of a single pendulum is 2.05s. What is the period of another simple pendulum which makes 300 vibration in the time it takes the first pendulum to make 200 vibrations?

  3. wcccd

    The period p of a pendulum, or the time it takes for the pendulum to make one complete swing, varies directly as the square root of the length L of the pendulum. If the period of a pendulum is 1.3 s when the length is 2 ft, find

  4. physics

    a simple pendulum has a period of 4.2sec. when the pendulum is shortened by 1 m the period is 3.7s. what is the acceleration of free fall g and the original length of the pendulum?

  1. physics

    a simple pendulum has a period of 2.0s and an amplitude of swing 5.0cm.calculate the maximum magnitude of the acceleration of the bob

  2. math

    The formula T=2*pi*sqrt[L/32] gives the period of a pendulum of length l feet. The period P is the number of seconds it takes for the pendulum to swing back and forth once. Suppose we want a pendulum to complete three periods in 2

  3. Physics

    A pendulum clock can be approximated as a simple pendulum of length 1.03 m and keeps accurate time at a location where g = 9.82 m/s2. In a location where g = 9.77 m/s2, what must be the new length of the pendulum, such that the

  4. Pre-Calculus

    The Period T, in seconds, of a pendulum depends on the distance, L, in meters, between the pivot and the pendulum's centre of mass. If the initial swing angle is relatively small, the period is given by the radical function

You can view more similar questions or ask a new question.