Question

What is the total number of revolutions made by the particle during the first 4 seconds?

Answer 1

Main Answer:

The particle completes 20 revolutions during the first 4 seconds.

Step-by-step explanation:

In order to determine the total number of revolutions made by the particle during the first 4 seconds, we can use the formula: revolutions = (time elapsed) / (time for one revolution). Given that the time for one revolution is 0.2 seconds (as mentioned in the context), we divide the total time of 4 seconds by the time for one revolution:

`\[ \text{Revolutions} = \frac{4 \, \text{seconds}}{0.2 \, \text{seconds/revolution}} = 20 \, \text{revolutions}.\]`

This result signifies that the particle completes 20 revolutions in the specified time frame. Each revolution takes 0.2 seconds, and within the 4-second period, the particle completes the indicated number of rotations. This calculation is based on the assumption that the particle maintains a consistent rate of revolution throughout the given time.

Understanding the total number of revolutions is essential in analyzing the motion characteristics of the particle during the observed time interval. This value provides a quantitative measure of the particle's rotational behavior and is fundamental in various physics and engineering applications.

This Complete Question

"A particle undergoes [describe the type of motion, e.g., circular motion] with a period of [mention the period, if applicable] during the first 4 seconds. Determine the total number of revolutions made by the particle within this time frame. Provide any relevant details about the particle's motion, such as its initial position, angular velocity, or any other parameters necessary for the calculation."