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

    4.2/(2 pi) = sqrt (L/g)

    3.7/(2 pi) = sqrt ( (L-1)/g )

    L/g = .447
    (L-1)/g = .347 = .447-1/g

    1/g = 0.1

    g = 10
    L = 4.47

    1. 👍
    2. 👎
  2. Asimple pendulum has a period of 4•2. When the pendulum is shortened by 1m the period is 3•7s from these measurements calculate (1) the acceleration due to gravity (2) the original length of the pendulum

    1. 👍
    2. 👎
  3. Ans is right

    1. 👍
    2. 👎
  4. Thanks

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. physics

    a pendulum is 0.75 meters long and has a period of 4.17seconds is this pendulum on the earth moon or mars?

  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

    A simple 2.45 m long pendulum oscillates. How many complete oscillations does this pendulum make in 6.05 min? The acceleration due to gravity is 9.8 m/s2 .

  1. 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

  2. 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

  3. 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?

  4. 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

  1. physic

    A "seconds pendulum" is one that moves through its equilibrium position once each second. (The period of the pendulum is precisely 2.000 s.) The length of a seconds pendulum is 0.9928 m at Tokyo and 0.9943 m at Cambridge, England.

  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. physics

    The pendulum on a cuckoo clock is 5.00 cm long. (a) Determine the period of this pendulum. (b) What is its frequency?

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