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A stone is tied to one end of a spring 50 cm long is whirled in a horizontal circle with a constant speed. If the stone makes 10 revolutions in 20 s, what is the magnitude of acceleration of the stone
  • a)
    493 cm/s2
  • b)
    720 cm/s2
  • c)
    860 cm/s2
  • d)
    990 cm/s2
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
A stone is tied to one end of a spring 50 cm long is whirled in a hori...
Given data:
Length of the spring, l = 50 cm = 0.5 m
Number of revolutions made by the stone, n = 10
Time taken to complete 10 revolutions, t = 20 s

To find: Magnitude of acceleration of the stone

Formula used:
The frequency of the circular motion is given by f = n/t.
The velocity of the stone is given by v = 2πfl.
The magnitude of acceleration of the stone is given by a = v²/l.

Calculation:
Frequency, f = n/t = 10/20 = 0.5 Hz
Velocity of the stone, v = 2πfl = 2 x 3.14 x 0.5 x 0.5 = 1.57 m/s
Magnitude of acceleration of the stone, a = v²/l = (1.57)²/0.5 = 4.93 m/s² = 493 cm/s²

Therefore, the magnitude of acceleration of the stone is 493 cm/s².

Hence, the correct option is (a).
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A stone is tied to one end of a spring 50 cm long is whirled in a horizontal circle with a constant speed. If the stone makes 10 revolutions in 20 s, what is the magnitude of acceleration of the stonea)493 cm/s2b)720 cm/s2c)860 cm/s2d)990 cm/s2Correct answer is option 'A'. Can you explain this answer?
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A stone is tied to one end of a spring 50 cm long is whirled in a horizontal circle with a constant speed. If the stone makes 10 revolutions in 20 s, what is the magnitude of acceleration of the stonea)493 cm/s2b)720 cm/s2c)860 cm/s2d)990 cm/s2Correct answer is option 'A'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A stone is tied to one end of a spring 50 cm long is whirled in a horizontal circle with a constant speed. If the stone makes 10 revolutions in 20 s, what is the magnitude of acceleration of the stonea)493 cm/s2b)720 cm/s2c)860 cm/s2d)990 cm/s2Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A stone is tied to one end of a spring 50 cm long is whirled in a horizontal circle with a constant speed. If the stone makes 10 revolutions in 20 s, what is the magnitude of acceleration of the stonea)493 cm/s2b)720 cm/s2c)860 cm/s2d)990 cm/s2Correct answer is option 'A'. Can you explain this answer?.
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