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A weightless thread can bear tension upto 37 N. A stone of mass 500 g is tied to it and revolved in a circular path of radius 4 m in a vertical plane. If g = 10 m−s⁻2, then the maximum angular velocity of the stone will be
- a)2 rad-s⁻1
- b)4 rad-s⁻1
- c)8 rad-s⁻1
- d)16 rad-s⁻1
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
A weightless thread can bear tension upto 37 N. A stone of mass 500 g ...
Maximum tension will act when the stone is at the lowest position so costheta will be zero in mgcostheta
T-mgcostheta=m×r×w^2
just put all the values of T,m,r,g and you will get the answer w=4
T-mgcostheta=m×r×w^2
just put all the values of T,m,r,g and you will get the answer w=4
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Community Answer
A weightless thread can bear tension upto 37 N. A stone of mass 500 g ...
Given data:
- Weightless thread tension capacity: 37 N
- Mass of stone: 500 g
- Radius of circular path: 4 m
- Acceleration due to gravity: 10 m/s^2
Calculating maximum tension:
- The weight of the stone is given by W = mg, where m = 0.5 kg and g = 10 m/s^2.
- W = 0.5 kg * 10 m/s^2 = 5 N
- The tension in the thread when the stone is at the bottom of the circular path is T = W + mv^2/r, where v is the velocity of the stone.
- T = 5 N + 0.5 kg * (v^2/4 m) = 37 N (maximum tension capacity)
- Solving for v^2, we get v^2 = 4 * (37 - 5) = 128
- Taking the square root of both sides, we get v = 8 m/s
Calculating maximum angular velocity:
- The angular velocity of the stone can be calculated using the formula v = rω, where v is the linear velocity, r is the radius, and ω is the angular velocity.
- Substituting the values, 8 = 4 * ω
- Therefore, ω = 8/4 = 2 rad/s
Therefore, the maximum angular velocity of the stone will be 2 rad/s (option B).
- Weightless thread tension capacity: 37 N
- Mass of stone: 500 g
- Radius of circular path: 4 m
- Acceleration due to gravity: 10 m/s^2
Calculating maximum tension:
- The weight of the stone is given by W = mg, where m = 0.5 kg and g = 10 m/s^2.
- W = 0.5 kg * 10 m/s^2 = 5 N
- The tension in the thread when the stone is at the bottom of the circular path is T = W + mv^2/r, where v is the velocity of the stone.
- T = 5 N + 0.5 kg * (v^2/4 m) = 37 N (maximum tension capacity)
- Solving for v^2, we get v^2 = 4 * (37 - 5) = 128
- Taking the square root of both sides, we get v = 8 m/s
Calculating maximum angular velocity:
- The angular velocity of the stone can be calculated using the formula v = rω, where v is the linear velocity, r is the radius, and ω is the angular velocity.
- Substituting the values, 8 = 4 * ω
- Therefore, ω = 8/4 = 2 rad/s
Therefore, the maximum angular velocity of the stone will be 2 rad/s (option B).
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A weightless thread can bear tension upto 37 N. A stone of mass 500 g is tied to it and revolved in a circular path of radius 4 m in a vertical plane. If g = 10 m−s2, then the maximum angular velocity of the stone will bea)2 rad-s1b)4 rad-s1c)8 rad-s1d)16 rad-s1Correct answer is option 'B'. Can you explain this answer?
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A weightless thread can bear tension upto 37 N. A stone of mass 500 g is tied to it and revolved in a circular path of radius 4 m in a vertical plane. If g = 10 m−s2, then the maximum angular velocity of the stone will bea)2 rad-s1b)4 rad-s1c)8 rad-s1d)16 rad-s1Correct answer is option 'B'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A weightless thread can bear tension upto 37 N. A stone of mass 500 g is tied to it and revolved in a circular path of radius 4 m in a vertical plane. If g = 10 m−s2, then the maximum angular velocity of the stone will bea)2 rad-s1b)4 rad-s1c)8 rad-s1d)16 rad-s1Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A weightless thread can bear tension upto 37 N. A stone of mass 500 g is tied to it and revolved in a circular path of radius 4 m in a vertical plane. If g = 10 m−s2, then the maximum angular velocity of the stone will bea)2 rad-s1b)4 rad-s1c)8 rad-s1d)16 rad-s1Correct answer is option 'B'. Can you explain this answer?.
A weightless thread can bear tension upto 37 N. A stone of mass 500 g is tied to it and revolved in a circular path of radius 4 m in a vertical plane. If g = 10 m−s2, then the maximum angular velocity of the stone will bea)2 rad-s1b)4 rad-s1c)8 rad-s1d)16 rad-s1Correct answer is option 'B'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A weightless thread can bear tension upto 37 N. A stone of mass 500 g is tied to it and revolved in a circular path of radius 4 m in a vertical plane. If g = 10 m−s2, then the maximum angular velocity of the stone will bea)2 rad-s1b)4 rad-s1c)8 rad-s1d)16 rad-s1Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A weightless thread can bear tension upto 37 N. A stone of mass 500 g is tied to it and revolved in a circular path of radius 4 m in a vertical plane. If g = 10 m−s2, then the maximum angular velocity of the stone will bea)2 rad-s1b)4 rad-s1c)8 rad-s1d)16 rad-s1Correct answer is option 'B'. Can you explain this answer?.
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