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

In summary, the CD has a mass of 17 g and a radius of 6.0 cm. It starts from rest and accelerates to an angular velocity of 23 rad/s in 0.36 s. The inertia is 306 and the angular acceleration is 52.5. To determine the net torque acting on the CD, we need to find the force using the equation torque=(magnitude of force)(radius of lever arm).
  • #1
playboy2006
3
0
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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  • #2
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
 
  • #3


I would like to clarify that the given information is not sufficient to determine the net torque acting on the CD. The given values of mass, radius, and angular velocity only allow us to calculate the moment of inertia and angular acceleration of the CD. To determine the net torque, we also need to know the external forces acting on the CD, such as the force applied by the CD player or any other factors affecting its rotation. Without this information, it is not possible to accurately determine the net torque acting on the CD.
 

1. What is the formula for calculating the net torque of a CD?

The formula for calculating the net torque of a CD is:
Net Torque = (Mass * Acceleration of rotation * Radius^2) / 2

2. How do you determine the mass, radius, and acceleration of rotation of a CD?

The mass and radius of a CD can be found by measuring the dimensions of the CD using a ruler or caliper. The acceleration of rotation can be determined by measuring the number of rotations per second or by using a tachometer.

3. What is the unit of measurement for net torque?

The unit of measurement for net torque is Newton-meters (N*m) in the metric system or foot-pounds (ft*lbs) in the imperial system.

4. How does changing the mass or radius of a CD affect the net torque?

Increasing the mass or radius of a CD will increase the net torque, while decreasing the mass or radius will decrease the net torque. This is because the formula for calculating net torque includes the mass and radius in its calculation.

5. What is the significance of the net torque of a CD?

The net torque of a CD is important because it determines the rotational motion and stability of the CD. The net torque must be balanced for the CD to rotate smoothly without wobbling or falling over.

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