Physic (store energy)

Question Four
A simple pendulum is used in a physics laboratory experiment to obtain an experimental value for the
gravitational acceleration, g . A student measures the length of the pendulum to be 0.510 meters, displaces
it 10 o
from the equilibrium position, and releases it. Using a stopwatch, the student determines that the
period of the pendulum is 1.44 s. Determine the experimental value of the gravitational acceleration in
two decimal places and the angular speed of the pendulum. (10 marks)

  1. 👍
  2. 👎
  3. 👁
  1. angular speed will vary in the arc. You could get average angular speed.


    g= Length/(period/2PI)^2

    1. 👍
    2. 👎
  2. T = 2pi * sqrt L/g,
    T^2 = 39.5*L/g = 1.44^2,
    39.5 * 0.51/g = 2.074,
    20.145/g = 2.074,
    g = 9.71 m/s^2.

    1. 👍
    2. 👎
  3. No fair using the answer :)

    How far does the pendulum drop from the ten degrees?
    h = .510 (1 - cos 10) = 0.00775 meters drop
    so potential energy at top = m g h = m g (0.00775)

    10 degrees * 2 pi radians/360 degrees = .1745 radians
    period = 1.44 s
    say theta = .1745 sin w t = .1745 sin 2 pi t/T = .1745 sin (2 pi t/1.44)
    = .1745 sin (4.36 t)
    angular speed = d theta/dt = omega = 0.761 cos (4.36 t)

    so max speed at bottom = 0.761 * .510 = .388 m/s
    (1/2) m v^2 = m g h which we know is 0.00775 m g
    g = (.5*.388^2)/0.00775 = 9.72 m/s^2

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. physics

    A science museum has asked you to design a simple pendulum that will make 25.0 complete swings in 85.0 {\rm s}. How long should the pendulum be? in meters

  2. Math-Pre Cal & Trig

    A pendulum swings uniformly back and forth, taking 2 seconds to move from the position directly above point A to the position directly above point B. . . . . _______________._______________ A . B . (SIMPLE DRAWING) The distance

  3. Physics- Ballistic pendulum

    A simple pendulum is made from a 2 kg. block of wood suspended from a light cord of length 1 m. When the pendulum is hanging in such a way that it is stationary and vertical, a bullet is shot horizontally into the block of wood

  4. math

    A six-sided, fair number cube is rolled 100 times as part of an experiment. The frequency of the roll of the number 3 is 20. Which statement about rolling a 3 is correct? The theoretical probability is 1/6. The experimental

  1. 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?

  2. Chemistry

    Describe a simple laboratory experiment to distinguish between calcium hydrogen carbonate and sodium hydrogen carbonate

  3. Science

    Describe a simple laboratory experiment

  4. 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?

  1. Biology

    A scientist performs a controlled experiment. This means that A) the experiment is repeated many times to ensure that the results are accurate. B) the experiment proceeds at a slow pace to guarantee that the scientist can

  2. 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 .

  3. Science

    A simple pendulum oscillates with an amplitude of 30 degrees. If the length of the string is 1.0m. Calculate the velocity of the pendulum bob at its lowest point.

  4. Science

    A simple pendulum of length 1m has a wooden bob of mass is strike by a bullet of mass 10^-20 kg moving with a speed of 2×10^2m/s.The bullet gets embedded into the bob. Obtain the height to which the bob rest before swing

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