Net Torque of a CD: Mass 17 g, Radius 6 cm, Acceleration 23 rad/s

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SUMMARY

The discussion focuses on calculating the net torque acting on a CD with a mass of 17 g and a radius of 6.0 cm, which accelerates to an angular velocity of 23 rad/s in 0.36 seconds. The moment of inertia for a uniform solid disk is confirmed to be 306 g·cm². The angular acceleration is calculated to be 52.5 rad/s². Participants emphasize the need to determine the force applied to calculate torque using the formula torque = (magnitude of force) × (radius of lever arm).

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  • Understanding of rotational dynamics
  • Knowledge of moment of inertia for solid disks
  • Familiarity with angular acceleration calculations
  • Basic grasp of torque equations
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  • Calculate the force required to achieve the given angular acceleration
  • Explore the relationship between torque and angular acceleration
  • Review the concept of moment of inertia for different shapes
  • Investigate practical applications of torque in rotational systems
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A CD has a mass of 17 g and a radius of 6.0 cm. When inserted into a player, the CD starts from rest and accelerates to an angular velocity of 23 rad/s in 0.36 s. Assuming the CD is a uniform solid disk, determine the net torque acting on it.



I found the inertia which is 306 and got the angular acceleration which is 52.5i think those are the right values

im stuck please help
 
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torque=(mag of force)(radius of lever arm)
you already have the radius, so just find the force now

What do you have to find the force? ill help you from there
 

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