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The centripetal acceleration of a body moving in a circle of radius 100 cm with a time period of 2s will be
  • a)
    9.85 m/s2
  • b)
    198.5 m/s2
  • c)
    49.29 m/s2
  • d)
    985.9 m/s2
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
The centripetal acceleration of a body moving in a circle of radius 10...
100cm=1m
a=v²/r
v= 2πr/t
v=6.28/2
v= 3.14
a= 9.8596/1
a=9.8596 m/s²
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Most Upvoted Answer
The centripetal acceleration of a body moving in a circle of radius 10...
Centripetal Acceleration of a Body Moving in a Circle

Formula:

The formula for centripetal acceleration is given by:

ac = (v^2) / r

where ac is the centripetal acceleration, v is the velocity of the body, and r is the radius of the circle.

Explanation:

In the given question, the radius of the circle is given as 100 cm and the time period is given as 2 seconds. We know that time period (T) is the time taken by the body to complete one revolution.

T = 2s

We also know that the velocity (v) of the body in circular motion is given by:

v = 2πr / T

where r is the radius of the circle.

Substituting the values, we get:

v = 2 x 3.14 x 100 / 2
v = 314 cm/s

Now, we can use the formula for centripetal acceleration to find the answer.

ac = (v^2) / r
ac = (314^2) / 100
ac = 9856 / 100
ac = 98.56 m/s^2

Therefore, the correct answer is option A, 9.85 m/s^2.
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