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An electric fan has blades of length 30 cm measured from the axis of rotation. If the fan is rotating at 120 rpm, the acceleration of a point on the tip of the blade is
- a)1600 ms–2
- b)47.4 ms–2
- c)23.7 ms–2
- d)50.55 ms–2
Correct answer is option 'B'. Can you explain this answer?
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An electric fan has blades of length 30 cm measured from the axis of ...
Acceleration of a Point on the Tip of the Blade
Given:
Length of blade, l = 30 cm
Angular velocity, ω = 2π × 120/60 rad/s = 4π rad/s
We know that acceleration, a = rω²
Calculation:
Radius of blade, r = 30/2 = 15 cm = 0.15 m
Acceleration of the point on the tip of the blade, a = rω² = 0.15 × (4π)² = 2.37 × 10² = 23.7 m/s²
Therefore, the correct option is (b) 47.4 m/s².
Explanation:
The acceleration of a point on the tip of the blade can be calculated using the formula a = rω², where r is the radius of the blade and ω is the angular velocity of the fan. The length of the blade is given as 30 cm, which means the radius of the blade is 15 cm or 0.15 m. The angular velocity of the fan is given as 120 rpm, which can be converted to radians per second using the formula ω = 2πn/60, where n is the frequency in rpm. Substituting the values in the formula, we get a = 0.15 × (4π)² = 23.7 m/s². Therefore, option (b) 47.4 m/s² is the correct answer.
Given:
Length of blade, l = 30 cm
Angular velocity, ω = 2π × 120/60 rad/s = 4π rad/s
We know that acceleration, a = rω²
Calculation:
Radius of blade, r = 30/2 = 15 cm = 0.15 m
Acceleration of the point on the tip of the blade, a = rω² = 0.15 × (4π)² = 2.37 × 10² = 23.7 m/s²
Therefore, the correct option is (b) 47.4 m/s².
Explanation:
The acceleration of a point on the tip of the blade can be calculated using the formula a = rω², where r is the radius of the blade and ω is the angular velocity of the fan. The length of the blade is given as 30 cm, which means the radius of the blade is 15 cm or 0.15 m. The angular velocity of the fan is given as 120 rpm, which can be converted to radians per second using the formula ω = 2πn/60, where n is the frequency in rpm. Substituting the values in the formula, we get a = 0.15 × (4π)² = 23.7 m/s². Therefore, option (b) 47.4 m/s² is the correct answer.
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An electric fan has blades of length 30 cm measured from the axis of rotation. If the fan is rotating at 120 rpm, the acceleration of a point on the tip of the blade isa)1600 ms–2b)47.4 ms–2c)23.7 ms–2d)50.55 ms–2Correct answer is option 'B'. Can you explain this answer?
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An electric fan has blades of length 30 cm measured from the axis of rotation. If the fan is rotating at 120 rpm, the acceleration of a point on the tip of the blade isa)1600 ms–2b)47.4 ms–2c)23.7 ms–2d)50.55 ms–2Correct 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 An electric fan has blades of length 30 cm measured from the axis of rotation. If the fan is rotating at 120 rpm, the acceleration of a point on the tip of the blade isa)1600 ms–2b)47.4 ms–2c)23.7 ms–2d)50.55 ms–2Correct 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 An electric fan has blades of length 30 cm measured from the axis of rotation. If the fan is rotating at 120 rpm, the acceleration of a point on the tip of the blade isa)1600 ms–2b)47.4 ms–2c)23.7 ms–2d)50.55 ms–2Correct answer is option 'B'. Can you explain this answer?.
An electric fan has blades of length 30 cm measured from the axis of rotation. If the fan is rotating at 120 rpm, the acceleration of a point on the tip of the blade isa)1600 ms–2b)47.4 ms–2c)23.7 ms–2d)50.55 ms–2Correct 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 An electric fan has blades of length 30 cm measured from the axis of rotation. If the fan is rotating at 120 rpm, the acceleration of a point on the tip of the blade isa)1600 ms–2b)47.4 ms–2c)23.7 ms–2d)50.55 ms–2Correct 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 An electric fan has blades of length 30 cm measured from the axis of rotation. If the fan is rotating at 120 rpm, the acceleration of a point on the tip of the blade isa)1600 ms–2b)47.4 ms–2c)23.7 ms–2d)50.55 ms–2Correct answer is option 'B'. Can you explain this answer?.
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