Pottery wheel, angular acceleration, and required speed

In summary, a small rubber wheel with a radius of 2.01 cm and an acceleration of 7.08 rad/s^2 drives a larger pottery wheel with a radius of 24.2 cm without slipping. The angular acceleration of the pottery wheel is 0.588 rad/s^2 and it takes 6.003 seconds to reach an angular velocity of 7.08 rad/s (equivalent to 67.4 rpm).
  • #1
SereneKi
12
0

Homework Statement



a small rubber wheel is used to drive a large pottery wheel, and they are mounted so that they touch. if the small wheel has a radius of 2.01 cm and accelerates at a rate of 7.08 rad/s^2 and is in contact with the pottery wheel (24.2 cm) without slipping, find the angular acceleration of the pottery wheel and find the time it takes it to reach 67.4 rpm?

Homework Equations



w=w0+at

The Attempt at a Solution



I've already found the acceleration of the pottery wheel to be 0.588 rad/s^2 but I'm having trouble with the 2nd part

r1=0.0201 m
r2=0.242 m
alpha1=7.08 rad/s^2
alpha2=0.588 rad/s^2

w2 = 67.4 rpm -> 3.53 rad/s

w=w0+at
3.53=0+(0.588)t
t=6.003 s

what am I doing wrong?
 
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  • #2
Hi SereneKi! :smile:
SereneKi said:
w2 = 67.4 rpm -> 3.53 rad/s

nooo :redface: … one revolution = two π :wink:
 

FAQ: Pottery wheel, angular acceleration, and required speed

1. How does angular acceleration affect a pottery wheel?

Angular acceleration is the rate at which the pottery wheel increases its rotational speed. As the wheel accelerates, the rate at which the clay spins also increases, allowing the potter to shape the clay more quickly and efficiently.

2. What is the required speed for a pottery wheel?

The required speed for a pottery wheel can vary depending on the size and type of wheel, as well as the type of clay being used. Generally, a speed of 200-300 rotations per minute (RPM) is recommended for throwing pottery, while a speed of 20-50 RPM is recommended for trimming and finishing pieces.

3. How does the speed of a pottery wheel affect the final product?

The speed of a pottery wheel can greatly impact the final product. A higher speed allows for a smoother and more even surface, while a lower speed allows for more control and precision in shaping the clay. Different techniques and effects can also be achieved by adjusting the speed of the wheel.

4. What are the benefits of using a pottery wheel?

Using a pottery wheel allows for more efficient and precise shaping of clay, as well as the ability to create symmetrical and consistent forms. It also allows the potter to utilize techniques such as throwing, trimming, and finishing to achieve different effects and styles in their pottery.

5. How can angular acceleration be measured on a pottery wheel?

Angular acceleration can be measured by attaching a tachometer, a device that measures rotational speed, to the wheel. As the wheel spins, the tachometer will display the RPM, which can then be used to calculate the angular acceleration using the formula a = (Vf - Vi)/t, where a is the angular acceleration, Vf is the final velocity, Vi is the initial velocity, and t is the time interval.

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