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Question: An athlete whirls a 7.46 kg hammer tied to the end of a 1.4 m chain in a simple horizontal circle where you should ignore any vertical deviations. The hammer moves at the rate of 0.297 rev/s. whats the tension in the chain? answer in units of N
To calculate the tension in the chain, you will want to use the formula for centripetal force. The formula is F = m * (v^2 / r), where: - F is the centripetal force (the tension in the chain), - m is the mass of the hammer (7.46 kg), - v is the velocity of the hammer, - r is the radius of the circle (1.4 m). First, you would need to convert the rotation rate from rev/s to m/s by calculating the circumference of the circle (which is 2 * π * r) and then multiplying that by the rotation rate. We get v = 0.297 * 2* π * 1.4 ≈ 2.62 m/s. Next, substituting the values into the formula gives: F = 7.46 kg * (2.62 m/s)^2 / 1.4 m. Solving for F, we get F ≈ 39.47 N.
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