## How does large angle affect the period of a pendulum?

The greater the amplitude, or angle, the farther the pendulum falls; and therefore, the longer the period.) Since the force of gravity is less on the Moon, the pendulum would swing slower at the same length and angle and its frequency would be less.)

## What is the maximum angle of a pendulum?

Paul Appell pointed out a physical interpretation of the imaginary period: if θ0 is the maximum angle of one pendulum and 180° − θ0 is the maximum angle of another, then the real period of each is the magnitude of the imaginary period of the other.

**Does angle affect pendulum speed?**

Correct answer: Both the length of the pendulum’s string and the angle of displacement affect the maximum velocity of the pendulum.

### Does period of pendulum change with angle?

The period of a pendulum does not depend on the mass of the ball, but only on the length of the string. With the assumption of small angles, the frequency and period of the pendulum are independent of the initial angular displacement amplitude. A pendulum will have the same period regardless of its initial angle.

### Why doesn’t mass affect a pendulum?

The mass of a pendulum’s bob does not affect the period. As mass increases, so does the force on the pendulum, but acceleration remains the same. (It is due to the effect of gravity.) Because acceleration remains the same, so does the time over which the acceleration occurs.

**How do you calculate the force of a pendulum?**

This force is a function of the earth’s constant acceleration due to gravity, the pendulum bob’s mass and the angle between the pendulum and the vertical. Specifically, the force equals the mass times gravity times the sine of that angle – (F = mg sinθ).

## What is the path of a pendulum called?

The two forces, gravity and string define a plane. The same plane is also defined by the pendulum string and the direction down. The resultant force is directed along a line which lies in this plane. The path of the bob lies along the plane defined by the string and gravity. This path lies in the plane of oscillation.

## What is the equation of motion of a pendulum?

By applying Newton’s secont law for rotational systems, the equation of motion for the pendulum may be obtained τ=Iα⇒−mgsinθL=mL2d2θdt2 τ = I α ⇒ − m g sin θ L = m L 2 d 2 θ d t 2 and rearranged as d2θdt2+gLsinθ=0 d 2 θ d t 2 + g L sin If the amplitude of angular displacement is small enough, so the small angle …

**What is the motion of a pendulum called?**

For the pendulum, the bob moves back and forth. This back and forth motion is called “oscillation.” Its position is said to oscillate back and forth. Period. The period is the amount of time it takes the bob to make one round trip.