The period T for a simple pendulum is modelled using the equation T=2π√L/9 wher…

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Wize University Physics Textbook (Master) > Periodic Motion: Oscillations

Simple Pendulums

3 Activities

The period T for a simple pendulum is modelled using the equation T=2πL9T=2\pi\sqrt{\frac{L}{9}}T=2π9L​​
where LLL is the length of the pendulum and  is the acceleration due to gravity, a constant. Estimate the percent change in the period if the pendulum is brought up 9000 m, where gg gdecreases by 0.4%.

More Simple Pendulums Questions:

Kinematics and Simple Harmonic Motion

A 12 g bullet moving horizontally at 30 m/s is fired into a hanging mass of 2.5 kg. The bullet becomes embedded in the hanging mass, which then acts like a pendulum. The cord connecting the mass to the ceiling is 75.0 centimeters. 

Practice: Simple pendulum

You pull a simple pendulum to the side and release the mass at an angle of 2.23°2.23\degree2.23°.
a) If the length of the pendulum is 25cm, how much time does it take the mass to reach its highest speed? (in s)
b) What is the maximum speed? (in meters per second)

You have landed on an unknown planet. You have a simple pendulum with a length of 25.0 cm25.0\ cm25.0 cm. You measure the frequency of oscillation of the pendulum to be 0.5 Hz0.5\ Hz0.5 Hz. What is the gravitational acceleration on this planet (in m/s^2)? What would be the period of the oscillation if you used this pendulum on Earth (in s)?
(Don't include units in your answers) 

Simple Harmonic Motion: Pendulum

In two separate experiments a pendulum and a mass-spring are moved from the Earth to the moon surface where gravitational acceleration is 1/6 of the Earth.
a) How does the amplitude of oscillations change?
b) How does the frequency of oscillations change?