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An electric fan has blades of length 30 cm measured front the axis of rotation. if the fan is rotating at 120 rev/min the acceleration of a point on the tip of the blade is (a) 1600ms-2 ( b) 47.4 ms-2 (C) 23.7ms-2 (d) 50.55 ms-2?
Most Upvoted Answer
An electric fan has blades of length 30 cm measured front the axis of ...
**Given:**
- Length of the electric fan blade (L) = 30 cm = 0.3 m
- Rotational speed (ω) = 120 rev/min
**To find:**
Acceleration of a point on the tip of the blade
**Formula:**
The acceleration of a point on the tip of the blade can be determined using the formula:
Acceleration (a) = ω^2 * R
Where,
- ω is the angular velocity in radians per second
- R is the distance from the axis of rotation to the point in meters
**Conversion:**
To use the formula, we need to convert the given rotational speed from revolutions per minute (rev/min) to radians per second (rad/s).
1 revolution = 2π radians
1 minute = 60 seconds
So, ω = (120 rev/min) * (2π rad/rev) * (1 min/60 s) = 4π rad/s
**Calculation:**
Now, we can calculate the acceleration of a point on the tip of the blade using the formula mentioned above.
R = Length of the blade = 0.3 m
ω = 4π rad/s
a = (4π)^2 * 0.3
a = 16π^2 * 0.3
a ≈ 50.55 m/s^2
**Answer:**
The acceleration of a point on the tip of the blade is approximately 50.55 m/s^2.
**Explanation:**
The acceleration of a point on the tip of the blade is related to the angular velocity and the distance from the axis of rotation. When an object rotates, the points farther from the axis of rotation have a higher linear velocity and hence a higher acceleration. In this case, the tip of the blade is at the farthest distance from the axis of rotation, so it experiences the highest acceleration. By using the formula for acceleration in circular motion, we can calculate the acceleration of the point on the tip of the blade.
- Length of the electric fan blade (L) = 30 cm = 0.3 m
- Rotational speed (ω) = 120 rev/min
**To find:**
Acceleration of a point on the tip of the blade
**Formula:**
The acceleration of a point on the tip of the blade can be determined using the formula:
Acceleration (a) = ω^2 * R
Where,
- ω is the angular velocity in radians per second
- R is the distance from the axis of rotation to the point in meters
**Conversion:**
To use the formula, we need to convert the given rotational speed from revolutions per minute (rev/min) to radians per second (rad/s).
1 revolution = 2π radians
1 minute = 60 seconds
So, ω = (120 rev/min) * (2π rad/rev) * (1 min/60 s) = 4π rad/s
**Calculation:**
Now, we can calculate the acceleration of a point on the tip of the blade using the formula mentioned above.
R = Length of the blade = 0.3 m
ω = 4π rad/s
a = (4π)^2 * 0.3
a = 16π^2 * 0.3
a ≈ 50.55 m/s^2
**Answer:**
The acceleration of a point on the tip of the blade is approximately 50.55 m/s^2.
**Explanation:**
The acceleration of a point on the tip of the blade is related to the angular velocity and the distance from the axis of rotation. When an object rotates, the points farther from the axis of rotation have a higher linear velocity and hence a higher acceleration. In this case, the tip of the blade is at the farthest distance from the axis of rotation, so it experiences the highest acceleration. By using the formula for acceleration in circular motion, we can calculate the acceleration of the point on the tip of the blade.
Community Answer
An electric fan has blades of length 30 cm measured front the axis of ...
Given,radius of circle=30cm=0.3m
frequency = 120 rev/min = 2 rev/sex
Centripetal acceleration=4 × frequency^2 × π^2 ×radius
=16 × 22/7 × 22/7 × 0.3
=47.4 ms^-2
Ans:- b
(•‿•)
frequency = 120 rev/min = 2 rev/sex
Centripetal acceleration=4 × frequency^2 × π^2 ×radius
=16 × 22/7 × 22/7 × 0.3
=47.4 ms^-2
Ans:- b
(•‿•)
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An electric fan has blades of length 30 cm measured front the axis of rotation. if the fan is rotating at 120 rev/min the acceleration of a point on the tip of the blade is (a) 1600ms-2 ( b) 47.4 ms-2 (C) 23.7ms-2 (d) 50.55 ms-2?
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An electric fan has blades of length 30 cm measured front the axis of rotation. if the fan is rotating at 120 rev/min the acceleration of a point on the tip of the blade is (a) 1600ms-2 ( b) 47.4 ms-2 (C) 23.7ms-2 (d) 50.55 ms-2? 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 front the axis of rotation. if the fan is rotating at 120 rev/min the acceleration of a point on the tip of the blade is (a) 1600ms-2 ( b) 47.4 ms-2 (C) 23.7ms-2 (d) 50.55 ms-2? 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 front the axis of rotation. if the fan is rotating at 120 rev/min the acceleration of a point on the tip of the blade is (a) 1600ms-2 ( b) 47.4 ms-2 (C) 23.7ms-2 (d) 50.55 ms-2?.
An electric fan has blades of length 30 cm measured front the axis of rotation. if the fan is rotating at 120 rev/min the acceleration of a point on the tip of the blade is (a) 1600ms-2 ( b) 47.4 ms-2 (C) 23.7ms-2 (d) 50.55 ms-2? 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 front the axis of rotation. if the fan is rotating at 120 rev/min the acceleration of a point on the tip of the blade is (a) 1600ms-2 ( b) 47.4 ms-2 (C) 23.7ms-2 (d) 50.55 ms-2? 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 front the axis of rotation. if the fan is rotating at 120 rev/min the acceleration of a point on the tip of the blade is (a) 1600ms-2 ( b) 47.4 ms-2 (C) 23.7ms-2 (d) 50.55 ms-2?.
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