A particle moving on a circular path makes 600 rpm. In how much time it will complete one revolution?

Options

A. 0.2s
B. 0.1s
C. 0.4s
D. 0.3s

Explanation

To solve the problem, we need to determine the time it takes for a particle to complete one revolution when it is moving at a rate of 600 revolutions per minute (rpm).

### Step-by-Step Solution:

1. **Understanding RPM**:
- The term "rpm" stands for revolutions per minute.
- Given that the particle makes 600 revolutions in one minute, we can express this in terms of seconds.

2. **Convert RPM to Revolutions per Second**:
- Since there are 60 seconds in a minute, we can convert the revolutions per minute (rpm) to revolutions per second (rps).
- Formula:
\[ \text{Revolutions per second} = \frac{\text{Revolutions per minute}}{60} \]
- Calculation:
\[ \text{Revolutions per second} = \frac{600 \text{ rpm}}{60} = 10 \text{ rps} \]

3. **Finding the Time for One Revolution**:
- The time taken for one complete revolution can be calculated using the frequency (revolutions per second).
- The time \( T \) for one revolution is the reciprocal of the frequency \( f \):
- Formula:
\[ T = \frac{1}{f} \]
- Calculation:
\[ T = \frac{1}{10 \text{ rps}} = 0.1 \text{ seconds} \]

4. **Conclusion**:
- Therefore, the time taken to complete one revolution is 0.1 seconds.

### Final Answer:
The particle will complete one revolution in **0.1 seconds**.

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