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A body rotates at 300 rotations per min.the value in radian of angle described 1 sec.(1)5.(2)5pi.(3).10.(4)10pi
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A body rotates at 300 rotations per min.the value in radian of angle d...
Understanding Rotations and Radians
When a body rotates at a certain number of rotations per minute (RPM), we can convert this measurement into radians per second, which is essential for understanding rotational motion.
Conversion from RPM to Radians
1. Rotations to Radians:
- One complete rotation corresponds to 2π radians.
- Therefore, if a body makes 300 rotations in one minute, the total radians for one minute is:
- 300 rotations × 2π radians/rotation = 600π radians/minute.
2. Convert Minutes to Seconds:
- Since we want the angle described in one second, we need to convert minutes to seconds:
- 600π radians/minute ÷ 60 seconds/minute = 10π radians/second.
Final Calculation
- The angle described in one second by a body rotating at 300 RPM is 10π radians.
Answer Choices
- To summarize, the options given can be evaluated:
- (1) 5
- (2) 5π
- (3) 10
- (4) 10π
- The correct value of the angle described in 1 second is (4) 10π.
Conclusion
Understanding the conversion from rotations per minute to radians per second is crucial for analyzing rotational dynamics. In this case, a rotation speed of 300 RPM equates to an angular displacement of 10π radians each second.
When a body rotates at a certain number of rotations per minute (RPM), we can convert this measurement into radians per second, which is essential for understanding rotational motion.
Conversion from RPM to Radians
1. Rotations to Radians:
- One complete rotation corresponds to 2π radians.
- Therefore, if a body makes 300 rotations in one minute, the total radians for one minute is:
- 300 rotations × 2π radians/rotation = 600π radians/minute.
2. Convert Minutes to Seconds:
- Since we want the angle described in one second, we need to convert minutes to seconds:
- 600π radians/minute ÷ 60 seconds/minute = 10π radians/second.
Final Calculation
- The angle described in one second by a body rotating at 300 RPM is 10π radians.
Answer Choices
- To summarize, the options given can be evaluated:
- (1) 5
- (2) 5π
- (3) 10
- (4) 10π
- The correct value of the angle described in 1 second is (4) 10π.
Conclusion
Understanding the conversion from rotations per minute to radians per second is crucial for analyzing rotational dynamics. In this case, a rotation speed of 300 RPM equates to an angular displacement of 10π radians each second.
Community Answer
A body rotates at 300 rotations per min.the value in radian of angle d...
4 is answer 10pi as it is angular velocity
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A body rotates at 300 rotations per min.the value in radian of angle described 1 sec.(1)5.(2)5pi.(3).10.(4)10pi
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A body rotates at 300 rotations per min.the value in radian of angle described 1 sec.(1)5.(2)5pi.(3).10.(4)10pi for Class 11 2025 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about A body rotates at 300 rotations per min.the value in radian of angle described 1 sec.(1)5.(2)5pi.(3).10.(4)10pi covers all topics & solutions for Class 11 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A body rotates at 300 rotations per min.the value in radian of angle described 1 sec.(1)5.(2)5pi.(3).10.(4)10pi.
A body rotates at 300 rotations per min.the value in radian of angle described 1 sec.(1)5.(2)5pi.(3).10.(4)10pi for Class 11 2025 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about A body rotates at 300 rotations per min.the value in radian of angle described 1 sec.(1)5.(2)5pi.(3).10.(4)10pi covers all topics & solutions for Class 11 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A body rotates at 300 rotations per min.the value in radian of angle described 1 sec.(1)5.(2)5pi.(3).10.(4)10pi.
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