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When a pendulum of length 50 cm oscillates, it produces an arc of 16 cm. The angle so formed in degree measure is (approx) (SSC CGL 1st Sit. 2012)
- a)18°25'
- b)18°35'
- c)18°20'
- d)18°08'
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
When a pendulum of length 50 cm oscillates, it produces an arc of 16 c...
s = 16 cm
r = 50 cm
r = 50 cm
Most Upvoted Answer
When a pendulum of length 50 cm oscillates, it produces an arc of 16 c...
We can use the formula for the arc length of a pendulum:
arc length = length of pendulum * angle (in radians)
Given that the length of the pendulum is 50 cm and the arc length is 16 cm, we can rearrange the formula to solve for the angle:
angle (in radians) = arc length / length of pendulum
angle (in radians) = 16 cm / 50 cm
angle (in radians) = 0.32 radians
To convert this angle from radians to degrees, we can use the formula:
angle (in degrees) = angle (in radians) * (180 degrees / pi radians)
angle (in degrees) = 0.32 radians * (180 degrees / pi radians)
angle (in degrees) ≈ 18.3 degrees
Therefore, the angle formed by the pendulum is approximately 18.3 degrees.
arc length = length of pendulum * angle (in radians)
Given that the length of the pendulum is 50 cm and the arc length is 16 cm, we can rearrange the formula to solve for the angle:
angle (in radians) = arc length / length of pendulum
angle (in radians) = 16 cm / 50 cm
angle (in radians) = 0.32 radians
To convert this angle from radians to degrees, we can use the formula:
angle (in degrees) = angle (in radians) * (180 degrees / pi radians)
angle (in degrees) = 0.32 radians * (180 degrees / pi radians)
angle (in degrees) ≈ 18.3 degrees
Therefore, the angle formed by the pendulum is approximately 18.3 degrees.
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Community Answer
When a pendulum of length 50 cm oscillates, it produces an arc of 16 c...
s = 16 cm
r = 50 cm
r = 50 cm
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When a pendulum of length 50 cm oscillates, it produces an arc of 16 cm. The angle so formed in degree measure is (approx) (SSC CGL 1st Sit. 2012)a)18°25b)18°35c)18°20d)18°08Correct answer is option 'C'. Can you explain this answer?
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