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A wheel makes 12 revolutions per min. The angle in radian described by a spoke of the wheel in 1 s is:
- a)5π/2
- b)2π/5
- c)3π/5
- d)4π/5
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
A wheel makes 12 revolutions per min. The angle in radian described by...
= 12 × Its circumference
= 12 × 2πr
∴ In 1 s distance travelled by the wheel =
(12 × 2πr) / 60 = (2 / 5) πr
∴ Angle = (Arc / Radius)
= (2 / 5πr) / r = 2π / 5
Which is the required angle.
Hence, option B is correct.
= 12 × 2πr
∴ In 1 s distance travelled by the wheel =
(12 × 2πr) / 60 = (2 / 5) πr
∴ Angle = (Arc / Radius)
= (2 / 5πr) / r = 2π / 5
Which is the required angle.
Hence, option B is correct.
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Community Answer
A wheel makes 12 revolutions per min. The angle in radian described by...
To find the angle described by a spoke of the wheel in 1 second, we need to find the angle described by the wheel in 1 second and then divide it by the number of spokes on the wheel.
The wheel makes 12 revolutions per minute, so it makes 12 * 2π radians per minute.
To find the angle described by the wheel in 1 second, we divide by 60 (since there are 60 seconds in a minute): (12 * 2π) / 60 = 2π/5 radians per second.
Since there are typically 4 spokes on a wheel, we divide the angle described by the wheel in 1 second by 4 to find the angle described by a spoke in 1 second: (2π/5) / 4 = π/10 radians per second.
Therefore, the angle described by a spoke of the wheel in 1 second is π/10 radians.
The wheel makes 12 revolutions per minute, so it makes 12 * 2π radians per minute.
To find the angle described by the wheel in 1 second, we divide by 60 (since there are 60 seconds in a minute): (12 * 2π) / 60 = 2π/5 radians per second.
Since there are typically 4 spokes on a wheel, we divide the angle described by the wheel in 1 second by 4 to find the angle described by a spoke in 1 second: (2π/5) / 4 = π/10 radians per second.
Therefore, the angle described by a spoke of the wheel in 1 second is π/10 radians.
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A wheel makes 12 revolutions per min. The angle in radian described by a spoke of the wheel in 1 s is:a)5π/2b)2π/5c)3π/5d)4π/5Correct answer is option 'B'. Can you explain this answer?
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