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A coin is placed 10 cm from the axis of a rotating turntable. Calculate the centripetal force experienced by the coin as it rotates on the turntable. Include the relevant formulas and considerations.

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Final answer:

The centripetal force experienced by the coin as it rotates on the turntable can be calculated using the formula Fc = (m * v²) / r, where Fc is the centripetal force, m is the mass of the coin, v is the tangential velocity of the coin, and r is the radius of the circular motion.

Step-by-step explanation:

The centripetal force experienced by the coin as it rotates on the turntable can be calculated using the formula:

Fc = (m * v²) / r

where Fc is the centripetal force, m is the mass of the coin, v is the tangential velocity of the coin, and r is the radius of the circular motion.

In this case, the coin is placed 10 cm from the axis of rotation. To calculate the tangential velocity, we can use the formula:

v = ω * r

where v is the tangential velocity, ω is the angular velocity, and r is the radius.

Since the coin is rotating on the turntable, we can assume it has the same angular velocity as the turntable. Therefore, ω can be calculated by multiplying the rotation rate in revolutions per second by 2π.

By plugging the given values into the formulas and performing the necessary calculations, we can determine the centripetal force experienced by the coin.

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