Calculating Tangential Acceleration for Rotating Objects

In summary, the conversation involves two questions. The first question asks for the tangential acceleration of a point on the outer rim of a CD with a diameter of 12 cm, when the angular speed is either 2 rev/s or 3 rev/s. The second question asks for the linear speed of a fishing line as it is reeled in by a fisherman at a rate of 3 revolutions per second, with a reel radius of 3.7 cm. The formula for tangential acceleration is mentioned and some work is requested to provide assistance.
  • #1
Huskies213
34
0
Can anyone help me with these 2 ?

1.) A cd with a diameter of 12 cm, speeds up from 0 to 4 rev/s in 3s. What is the tangential acceleration of a point on the outer rim of the disk at the moment when angular speed is a.) 2 rev/s b.) 3 rev/s

2.) A fisherman reels in a fish and turns the spool on the reel at a rate of 3 revolutions per second. If the radius of the reel is 3.7 cm, what is the linear speed of the fishing line as it is reeled in ?
 
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  • #2
You need to show some work before we can help.
 
  • #3
remember to get frequency its 1/t, so convert it the rev/s to Hz. I hope I'm correct?
 
  • #4
Re

I don't know where to start .. can anyone Help ?
 
  • #5
A formula for tangental acceleration is;

[tex]\alpha = \frac{a_{t}}{r}[/tex]

where [itex]\alpha[/itex] is angular acceleration and [itex]a_{t}[/itex] is tangental acceleration.

-Hoot
 

1. What is rotational kinematics?

Rotational kinematics is the branch of physics that deals with the motion of objects that rotate or spin around an axis. It involves analyzing the position, velocity, and acceleration of these objects over time.

2. How does a CD rotate?

A CD rotates due to the application of a torque, or twisting force, on its surface. This torque is created by the motor in the CD player, which causes the CD to spin at a constant angular velocity.

3. What is the angular velocity of a CD?

The angular velocity of a CD varies depending on the speed setting of the CD player, but it is typically around 500 rpm (revolutions per minute). This means that the CD makes 500 full rotations in one minute.

4. How does rotational kinematics affect the sound quality of a CD?

The rotational kinematics of a CD can affect its sound quality in a few ways. If the CD is spinning too fast or too slow, it can cause the sound to be distorted. Additionally, any bumps or imperfections on the surface of the CD can cause the laser in the CD player to read the data incorrectly, resulting in poor sound quality.

5. What is the relationship between angular velocity and tangential velocity on a CD?

The tangential velocity of a point on the edge of a CD is equal to the product of the angular velocity and the distance from the center of the CD. In other words, the faster the CD spins, the faster the tangential velocity of a point on its edge will be.

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