Question

К нити длиной 20см подвесили металлический шарик радиусом 5 см. определить период колебаний получившегося маятника.

Answer 1

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Answer 2

Calculation of the Period of the Pendulum

To determine the period of the pendulum, we can use the formula:

T = 2π√(l/g)

Where: - T is the period of the pendulum, - l is the length of the pendulum, - g is the acceleration due to gravity.

In this case, the length of the pendulum is given as 20 cm (or 0.2 m). However, we need to convert the length to meters before proceeding with the calculation.

Let's calculate the period of the pendulum step by step:

1. Convert the length of the pendulum to meters: - Given length = 20 cm = 0.2 m .

2. Determine the value of the acceleration due to gravity (g): - The standard value of the acceleration due to gravity is approximately 9.8 m/s^2.

3. Substitute the values into the formula: - T = 2π√(0.2/9.8) - T ≈ 2π√(0.02) - T ≈ 2π * 0.1414 - T ≈ 0.886 seconds

Therefore, the period of the pendulum is approximately 0.886 seconds.

Please note that the above calculation assumes ideal conditions and neglects factors such as air resistance and friction.