Question

Pendulum A : A 200 -g mass attached to a 1.0 - m length string Pendulum B : A 400 -g mass attached to a 0.5- m length string. Which would have the longest period?

Answer 1

Given:

The mass attached to pendulum A, m_A=200 g

The length of the string of the pendulum A, L_A=1.0 m

The mass attached to the pendulum B, m_B=400 g

The length of the string of the pendulum B, L_B=0.5 m

To find:

Which one of the given pendulums has the longest period.

Explanation:

The period of a pendulum is given by,

$T=2\pi\sqrt{\frac{L}{g}}$

Where L is the length of the pendulum and g is the acceleration due to gravity.

From the above equation, it is clear that the period of a pendulum is directly proportional to the square root of the length of the string of the pendulum.

Thus longer the length of the pendulum the longer the period.

Pendulum A has the longer length of the string than pendulum B. Thus pendulum A has the longest period.

Fnala answer:

Thus pendulum A has the longest period.