Physics

Imagine you are an astronaut who has landed on another planet and wants to determine the free-fall acceleration on that planet. In one of the experiments you decide to conduct, you use a pendulum 0.47 m long and find that the period of oscillation for this pendulum is 1.43 s. What is the acceleration due to gravity on that planet? (Enter the magnitude only.)

I know the formula to use is
T=2pi(L/g)^0.5(g) but I keep getting a wrong answer

  1. 👍 0
  2. 👎 0
  3. 👁 68
asked by Ray
  1. T = 2 pi sqrt(L/g)
    1.4 = 6.28 sqrt (.47/g)
    .47/g = .0497
    g = 9.46 m/s^2

    1. 👍 0
    2. 👎 0
    posted by Damon
  2. It still says its the wrong answer. Let me calculate it again

    1. 👍 0
    2. 👎 0
    posted by Ray
  3. That assumes that you know about simple pendula

    small angle A at top, g and L and m
    KE at bottom = (1/2) m V^2
    V is max speed at bottom = L d angle/dt
    Pe at top = m g h = m g L(1- cos A)
    for small A, cos A = 1 - A^2/2 + ....

    m g L (A^2/2) = (1/2) m V^2

    g L A^2 = V^2
    now assume sinusoidal motion
    angle = A sin (2 pi/T) t
    d angle/dt = (2 pi/T) A cos (2 pi/T)t
    x max = A
    v max = L d angle/dt = (2 pi L/T)A
    then
    g L A^2 = (2 pi L/T)^2 A^2

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

    1. 👍 0
    2. 👎 0
    posted by Damon
  4. I used .14 not .143

    1. 👍 0
    2. 👎 0
    posted by Damon
  5. 1.43 = 6.28 sqrt(.47/g)
    try 9.06 m/s^2

    1. 👍 0
    2. 👎 0
    posted by Damon
  6. For some reason its still saying its the wrong answer

    1. 👍 0
    2. 👎 0
    posted by Ray
  7. Your saying g=9.06

    1. 👍 0
    2. 👎 0
    posted by Ray
  8. yes

    1. 👍 0
    2. 👎 0
    posted by Damon
  9. Yes, it finally worked thank you so much.

    1. 👍 0
    2. 👎 0
    posted by Raven

Respond to this Question

First Name

Your Response

Similar Questions

  1. Physics

    Imagine you are an astronaut who has landed on another planet and wants to determine the free-fall acceleration on that planet. In one of the experiments you decide to conduct, you use a pendulum 0.47 m long and find that the

    asked by Ray on November 3, 2012
  2. college

    A spaceship lands on the planet whose radius is 5 times that of planet earth and whose mass is 25 times that of planet earth. Find the apparent weight of the astronaut on the second planet if the astronaut weighs 150lbs on planet

    asked by Antonio on November 1, 2010
  3. Physics

    A 60kg astronaut on a distant planet drops a fork and discovers the fork takes 0.70s to drop 1.0m to the ground. a) what is the weight of the astronaut on that planet? b) if the planet has a radius of 1.6x10^6 m, what is it’s

    asked by Linda on June 23, 2018
  4. Physics

    Having landed on a newly discovered planet, an astronaut sets up a simple pedulum of length 1.29 m and finds that it makes 567 oscillations in 1020 s. The amplitude of the oscillations is very small compared to the pendulum's

    asked by Katy on January 7, 2010
  5. Physics

    Having landed on a newly discovered planet, an astronaut sets up a simple pedulum of length 1.29 m and finds that it makes 567 oscillations in 1020 s. The amplitude of the oscillations is very small compared to the pendulum's

    asked by Katy on January 7, 2010
  6. phyiscs!

    Having landed on a newly discovered planet, an astronaut sets up a simple pendulum of length 1.51 m and finds that it makes 291 complete oscillations in 697 s. The amplitude of the oscillations is very small compared to the

    asked by amanda on November 16, 2011
  7. Physics

    Having landed on a newly discovered planet, an astronaut sets up a simple pendulum of length 1.29 m and finds that it makes 407 complete oscillations in 698 s. The amplitude of the oscillations is very small compared to the

    asked by dallas on May 6, 2013
  8. Physics

    On Planet X, an astronaut has maximum walking speed of 1.9 m/s. The astronaut's legs are each 1.3 m long. What is the constant of acceleration due to gravity on Planet X?

    asked by Someone on January 8, 2016
  9. Physics

    A fully equipped astronaut has a mass of 170 kg. If the astronaut has a weight of 675 N standing on the surface of a planet, what is the acceleration due to gravity on this planet?

    asked by Kayla on January 22, 2015
  10. Physics

    An astronaut on a distant planet wants to determine its acceleration due to gravity. The astronaut throws a rock straight up with a velocity of + 14.2 m/s and measures a time of 22.2 s before the rock returns to his hand. What is

    asked by Meghan on September 6, 2012

More Similar Questions