What happens when you increase the angle of a pendulum?

The longer the length of string, the farther the pendulum falls; and therefore, the longer the period, or back and forth swing of the pendulum. The greater the amplitude, or angle, the farther the pendulum falls; and therefore, the longer the period.)

Why does angle not affect the period of a pendulum?

Why does the angle the pendulum starts at not affect the period? (Answer: Because pendulums that start at a bigger angle have longer to speed up, so they travel faster than pendulums that start at a small angle.)

What is the displacement of a pendulum?

The angular displacement of a pendulum is represented by the equation θ = 0.32*cos(ωt) where θ is in radians and ω = 4.43 rad/s. Determine the period and length of the pendulum.

What causes a pendulum to oscillate about its equilibrium position?

The Simple Pendulum When released, the restoring force combined with the pendulum’s mass causes it to oscillate about the equilibrium position, swinging back and forth.

How do you find the angle of a pendulum?

The formula is t = 2 π √ l / g . This formula provides good values for angles up to α ≤ 5°. The larger the angle, the more inaccurate this estimation will become.

Why does a pendulum have periodic motion?

A pendulum consists of a weight suspended on a rod, string or wire. When the weight or bob is moved and let go, the pendulum will swing back and forth in a regular periodic motion. The effect of gravity on the bob results in the periodic motion, and the length of the wire determines the frequency of its swing.

Why does a pendulum oscillate?

A pendulum is a weight suspended from a pivot so that it can swing freely. When released, the restoring force acting on the pendulum’s mass causes it to oscillate about the equilibrium position, swinging back and forth.

Why does a mass oscillate around equilibrium?

This happens because a restoring force points toward the equilibrium point. This equilibrium point is sometimes referred to as a fixed point. When the marble is disturbed to a different position (x=+A) , the marble oscillates around the equilibrium position.