How many oscillations will the pendulum of the wall clock make in 6 minutes 40 seconds if it makes 360

How many oscillations will the pendulum of the wall clock make in 6 minutes 40 seconds if it makes 360 oscillations in 12 minutes?

The solution of the problem:

1) From the problem statement, we know that the pendulum makes 360 oscillations in 12 minutes. Let’s find out how many hesitation he will make in one minute:

360/12 = 30 – the number of oscillations of the pendulum in 1 minute.

2) In this problem, we need to find out how many oscillations the pendulum will make in 6 minutes 40 seconds. From the beginning, we find out how many fluctuations there will be in just 6 minutes:

6 * 30 = 180 – the number of fluctuations in 6 minutes.

3) How do we know the number of oscillations in 40 seconds? To do this, you need to know the number of vibrations per second. In 1 minute 60 seconds. Let’s find:

30/60 = 0.5 – the number of vibrations in 1 second.

4) If in 1 second the pendulum makes half a swing, then in 2 seconds it will make one complete. Let’s find out how much he will do in 40 seconds:

40/2 = 20 – fluctuations in 40 seconds.

5) Let’s calculate the number of oscillations in 6 minutes 40 seconds:

180 + 20 = 200.

Answer: In 6 minutes 40 seconds, the pendulum will make 200 oscillations.