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A stone tied to the end of a string 100cm long is whirled in a horizontal circle with a constant speed if the stone makes 14 revolution in 25 seconds what is the acceleration of the stone?
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A stone tied to the end of a string 100cm long is whirled in a horizon...
Calculation of Acceleration of the Stone
Acceleration of an object moving in a circle is given by the formula:
\[a = \frac{v^2}{r}\]
where:
- \(a\) is the acceleration
- \(v\) is the velocity of the object
- \(r\) is the radius of the circle
Calculating the Velocity of the Stone
Given that the stone completes 14 revolutions in 25 seconds, we can calculate the time taken for one revolution:
\[ \text{Time for one revolution} = \frac{25 \text{ seconds}}{14} \approx 1.79 \text{ seconds}\]
The velocity of the stone can be calculated using the formula:
\[v = \frac{2\pi r}{\text{Time for one revolution}}\]
Given that the length of the string is 100 cm (or 1 m), the radius of the circle is 1 m.
\[v = \frac{2\pi \times 1}{1.79} \approx 3.51 \text{ m/s}\]
Calculating the Acceleration
Substitute the values of velocity and radius into the acceleration formula:
\[a = \frac{(3.51)^2}{1}\]
\[a \approx 12.31 \text{ m/s}^2\]
Therefore, the acceleration of the stone is approximately 12.31 m/s².
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A stone tied to the end of a string 100cm long is whirled in a horizontal circle with a constant speed if the stone makes 14 revolution in 25 seconds what is the acceleration of the stone?
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A stone tied to the end of a string 100cm long is whirled in a horizontal circle with a constant speed if the stone makes 14 revolution in 25 seconds what is the acceleration of the stone? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A stone tied to the end of a string 100cm long is whirled in a horizontal circle with a constant speed if the stone makes 14 revolution in 25 seconds what is the acceleration of the stone? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A stone tied to the end of a string 100cm long is whirled in a horizontal circle with a constant speed if the stone makes 14 revolution in 25 seconds what is the acceleration of the stone?.
A stone tied to the end of a string 100cm long is whirled in a horizontal circle with a constant speed if the stone makes 14 revolution in 25 seconds what is the acceleration of the stone? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A stone tied to the end of a string 100cm long is whirled in a horizontal circle with a constant speed if the stone makes 14 revolution in 25 seconds what is the acceleration of the stone? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A stone tied to the end of a string 100cm long is whirled in a horizontal circle with a constant speed if the stone makes 14 revolution in 25 seconds what is the acceleration of the stone?.
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