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A wheel makes 20 revolutions per hour. The radians it turns through 25 minutes is
- a)50πc/7
- b)250πc/3
- c)150πc/7
- d)50πc/3
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
A wheel makes 20 revolutions per hour. The radians it turns through 25...
We know that the wheel makes 20 revolutions per hour.
In 1 minute, it makes 20/60 = 1/3 revolution.
In 25 minutes, it makes (1/3) x 25 = 25/3 revolutions.
We also know that 1 revolution is equal to 2π radians.
So, 25/3 revolutions is equal to (25/3) x 2π radians.
Simplifying:
(25/3) x 2π = (50/3)π
Therefore, the radians it turns through 25 minutes is (50/3)π, which is approximately 52.36 radians when rounded to two decimal places.
Answer: b) 52.36
In 1 minute, it makes 20/60 = 1/3 revolution.
In 25 minutes, it makes (1/3) x 25 = 25/3 revolutions.
We also know that 1 revolution is equal to 2π radians.
So, 25/3 revolutions is equal to (25/3) x 2π radians.
Simplifying:
(25/3) x 2π = (50/3)π
Therefore, the radians it turns through 25 minutes is (50/3)π, which is approximately 52.36 radians when rounded to two decimal places.
Answer: b) 52.36
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Community Answer
A wheel makes 20 revolutions per hour. The radians it turns through 25...
1 revolution = 2*π radian
Given that
The number of revolutions in 1 hour = 20
So,
The number of revolution in 25 minutes = 20 x 25/60 = 25/3
The radians it run through in 25 minutes = (25/3)2 * π
⇒ 50πc/3
Given that
The number of revolutions in 1 hour = 20
So,
The number of revolution in 25 minutes = 20 x 25/60 = 25/3
The radians it run through in 25 minutes = (25/3)2 * π
⇒ 50πc/3
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