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A particle is rotating in a circle of radii r=2/pi m with constant speed 1ms . match the following two column for the time interval when it completes 1/4 th of of the circle Column a column b. 1) average speed p)?
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A particle is rotating in a circle of radii r=2/pi m with constant spe...
Explanation:
To find the time interval when the particle completes 1/4th of the circle, we need to determine the time it takes to cover one-fourth of the circumference of the circle.
Step 1: Calculate the circumference of the circle:
The circumference of a circle is given by the formula C = 2πr, where r is the radius. In this case, the radius is given as r = 2/π m.
C = 2π(2/π) = 4 m
Step 2: Calculate the time taken to cover the whole circumference:
We know that the speed of the particle is constant and equal to 1 m/s. The formula to calculate the time taken to cover a distance is t = d/v, where d is the distance and v is the speed.
In this case, the distance is equal to the circumference of the circle, which is 4 m. Therefore, the time taken to cover the whole circumference is:
t = 4 m / 1 m/s = 4 s
Step 3: Calculate the time taken to cover 1/4th of the circumference:
To find the time taken to cover 1/4th of the circumference, we divide the total time taken to cover the whole circumference by 4.
t = 4 s / 4 = 1 s
Therefore, the time interval when the particle completes 1/4th of the circle is 1 second.
Conclusion:
The average speed (p) of the particle is not required to find the time interval when it completes 1/4th of the circle. The time interval is determined solely by the time taken to cover the distance, which is given by the formula t = d/v. In this case, the time interval is 1 second.
To find the time interval when the particle completes 1/4th of the circle, we need to determine the time it takes to cover one-fourth of the circumference of the circle.
Step 1: Calculate the circumference of the circle:
The circumference of a circle is given by the formula C = 2πr, where r is the radius. In this case, the radius is given as r = 2/π m.
C = 2π(2/π) = 4 m
Step 2: Calculate the time taken to cover the whole circumference:
We know that the speed of the particle is constant and equal to 1 m/s. The formula to calculate the time taken to cover a distance is t = d/v, where d is the distance and v is the speed.
In this case, the distance is equal to the circumference of the circle, which is 4 m. Therefore, the time taken to cover the whole circumference is:
t = 4 m / 1 m/s = 4 s
Step 3: Calculate the time taken to cover 1/4th of the circumference:
To find the time taken to cover 1/4th of the circumference, we divide the total time taken to cover the whole circumference by 4.
t = 4 s / 4 = 1 s
Therefore, the time interval when the particle completes 1/4th of the circle is 1 second.
Conclusion:
The average speed (p) of the particle is not required to find the time interval when it completes 1/4th of the circle. The time interval is determined solely by the time taken to cover the distance, which is given by the formula t = d/v. In this case, the time interval is 1 second.
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A particle is rotating in a circle of radii r=2/pi m with constant speed 1ms . match the following two column for the time interval when it completes 1/4 th of of the circle Column a column b. 1) average speed p)?
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A particle is rotating in a circle of radii r=2/pi m with constant speed 1ms . match the following two column for the time interval when it completes 1/4 th of of the circle Column a column b. 1) average speed p)? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about A particle is rotating in a circle of radii r=2/pi m with constant speed 1ms . match the following two column for the time interval when it completes 1/4 th of of the circle Column a column b. 1) average speed p)? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A particle is rotating in a circle of radii r=2/pi m with constant speed 1ms . match the following two column for the time interval when it completes 1/4 th of of the circle Column a column b. 1) average speed p)?.
A particle is rotating in a circle of radii r=2/pi m with constant speed 1ms . match the following two column for the time interval when it completes 1/4 th of of the circle Column a column b. 1) average speed p)? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about A particle is rotating in a circle of radii r=2/pi m with constant speed 1ms . match the following two column for the time interval when it completes 1/4 th of of the circle Column a column b. 1) average speed p)? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A particle is rotating in a circle of radii r=2/pi m with constant speed 1ms . match the following two column for the time interval when it completes 1/4 th of of the circle Column a column b. 1) average speed p)?.
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