what is the solution of an object is moving in acicular motion has a centripetal acceleration of 10m/s.if the radius of the motion is 0.5m?.calculate the frequency of motion.
Answer:
To calculate the frequency of an object moving in circular motion, we can use the formula:
frequency (f) = (centripetal acceleration (a)) / (2π * radius (r))
Given:
Centripetal acceleration (a) = 10 m/s²
Radius (r) = 0.5 m
Substituting the values into the formula, we have:
f = 10 / (2 * π * 0.5)
Simplifying the equation:
f = 10 / (π)
Using a calculator, we can approximate the value of π to 3.14:
f ≈ 10 / 3.14
f ≈ 3.18 Hz
Therefore, the frequency of the motion is approximately 3.18 Hz.
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