A wooden disc of radius \( 30 \mathrm{~cm} \) and mass \( 1.0 \mathrm{~kg} \) spins at 50 revolutions per minute (rpm) 5. What is its rotation frequency? A. \( 0.38 \mathrm{~Hz} \) B. \( 0.9 \mathrm{~Hz} \) C. \( 0.83 \mathrm{~Hz} \) D. \( 8.3 \mathrm{~Hz} \) E. \( 83 \mathrm{~Hz} \) 6) Its angular velocity is A. \( 25 \mathrm{rad} \mathrm{s}^{-1} \) B. \( 5.2 \mathrm{rad} \mathrm{s}^{-1} \) C. \( 52 \mathrm{rad} \mathrm{s}^{-1} \) D. \( 520 \mathrm{rad} \mathrm{s}^{-1} \) E. \( 2.5 \mathrm{rad} \mathrm{s}^{-1} \) 7. What is the rotational kinetic energy of this disc? A. \( 2.47 \mathrm{~J} \) B. \( 24.7 \mathrm{~J} \) C. 247 J D. \( 427 \mathrm{~J} \) E. \( 42.7 \mathrm{~J} \)
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The rotation frequency is the number of rotations per second. We know that there are 60 seconds in a minute, so we can convert 50 rpm to Hz (rotations per second) by dividing by 60. This gives us \( \frac{50}{60} = 0.83 \) Hz. So the answer is C. \( 0.83 \) Hz. Show more…
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