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The distance travelled by a tiger is measured as, s=100 m±0.1 m in time, t=10±0.1 s. Its average speed under permissible limit of error can be written as?
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The distance travelled by a tiger is measured as, s=100 m±0.1 m in tim...
Understanding Average Speed
The average speed of an object is calculated using the formula:
Average Speed = Distance / Time
In this case, we have:
- Distance (s) = 100 m ± 0.1 m
- Time (t) = 10 s ± 0.1 s
Calculating Average Speed
Using the given values, we can calculate the average speed:
Average Speed = 100 m / 10 s = 10 m/s
Calculating Errors
To find the permissible limit of error in average speed, we must consider the errors in both distance and time.
Relative Error in Distance
- The relative error in distance = (Error in Distance) / (Distance) = 0.1 m / 100 m = 0.001
Relative Error in Time
- The relative error in time = (Error in Time) / (Time) = 0.1 s / 10 s = 0.01
Total Relative Error in Average Speed
The total relative error in average speed can be calculated by adding the relative errors of distance and time:
- Total Relative Error = 0.001 + 0.01 = 0.011
Calculating Absolute Error in Average Speed
To find the absolute error in average speed:
- Absolute Error = Total Relative Error × Average Speed = 0.011 × 10 m/s = 0.11 m/s
Final Result
The average speed of the tiger can be expressed with its permissible limit of error as:
Average Speed = 10 m/s ± 0.11 m/s
This result provides a clear understanding of the average speed along with its associated uncertainty.
The average speed of an object is calculated using the formula:
Average Speed = Distance / Time
In this case, we have:
- Distance (s) = 100 m ± 0.1 m
- Time (t) = 10 s ± 0.1 s
Calculating Average Speed
Using the given values, we can calculate the average speed:
Average Speed = 100 m / 10 s = 10 m/s
Calculating Errors
To find the permissible limit of error in average speed, we must consider the errors in both distance and time.
Relative Error in Distance
- The relative error in distance = (Error in Distance) / (Distance) = 0.1 m / 100 m = 0.001
Relative Error in Time
- The relative error in time = (Error in Time) / (Time) = 0.1 s / 10 s = 0.01
Total Relative Error in Average Speed
The total relative error in average speed can be calculated by adding the relative errors of distance and time:
- Total Relative Error = 0.001 + 0.01 = 0.011
Calculating Absolute Error in Average Speed
To find the absolute error in average speed:
- Absolute Error = Total Relative Error × Average Speed = 0.011 × 10 m/s = 0.11 m/s
Final Result
The average speed of the tiger can be expressed with its permissible limit of error as:
Average Speed = 10 m/s ± 0.11 m/s
This result provides a clear understanding of the average speed along with its associated uncertainty.
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The distance travelled by a tiger is measured as, s=100 m±0.1 m in time, t=10±0.1 s. Its average speed under permissible limit of error can be written as?
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The distance travelled by a tiger is measured as, s=100 m±0.1 m in time, t=10±0.1 s. Its average speed under permissible limit of error can be written as? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about The distance travelled by a tiger is measured as, s=100 m±0.1 m in time, t=10±0.1 s. Its average speed under permissible limit of error can be written as? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The distance travelled by a tiger is measured as, s=100 m±0.1 m in time, t=10±0.1 s. Its average speed under permissible limit of error can be written as?.
The distance travelled by a tiger is measured as, s=100 m±0.1 m in time, t=10±0.1 s. Its average speed under permissible limit of error can be written as? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about The distance travelled by a tiger is measured as, s=100 m±0.1 m in time, t=10±0.1 s. Its average speed under permissible limit of error can be written as? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The distance travelled by a tiger is measured as, s=100 m±0.1 m in time, t=10±0.1 s. Its average speed under permissible limit of error can be written as?.
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