How Does Angular Acceleration Affect Angular Velocity?

Click For Summary
The discussion focuses on calculating the angular velocity of a grinding wheel after a constant tangential force is applied. Given the wheel's radius of 0.330 m, a force of 270 N results in an angular acceleration of 0.984 rad/s². Starting from rest, the angular velocity can be determined using the formula ω = αt, where α is angular acceleration and t is time. After 4.30 seconds, the angular velocity can be calculated, but the user is uncertain about the correct equation to use. The conversation emphasizes understanding the relationship between angular acceleration and angular velocity in rotational motion.
ymehuuh
Messages
19
Reaction score
0

Homework Statement


A large grinding wheel in the shape of a solid cylinder of radius 0.330 m is free to rotate on a frictionless, vertical axle. A constant tangential force of 270 N applied to its edge causes the wheel to have an angular acceleration of 0.984 rad/s2.

If the wheel starts from rest, what is its angular velocity after 4.30 s have elapsed, assuming the force is acting during that time?

Homework Equations


Moment of intertia is 90.457kg/m2
mass of wheel is 1661.29kg


The Attempt at a Solution



I was able to find moment of inertia and mass of wheel above...not sure about angular velocity. I can't find the right equation what uses I.
 
Physics news on Phys.org
nm...it was just w=at
 

Thread 'Magnitude of buoyant force in fluids of different densities'

The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?
View full post »

Similar threads

System of two wheels of different sizes with an axle through their centers
  • · Replies 67 ·
3
Replies
67
Views
4K
What is the Linear Distance and Angular Velocity of a Rotating Potter's Wheel?
  • · Replies 7 ·
Replies
7
Views
2K
How Do Friction and Force Affect the Angular Velocity of Connected Wheels?
  • · Replies 19 ·
Replies
19
Views
3K
Angular momentum and a summersault problem
  • · Replies 19 ·
Replies
19
Views
2K
How Does Angular Momentum Conservation Affect Asteroid Collision Dynamics?
  • · Replies 335 ·
12
Replies
335
Views
16K
Finding angular speed by conservation of angular momentum
  • · Replies 7 ·
Replies
7
Views
2K
How to Apply Conservation of Angular Momentum to a Pendulum?
  • · Replies 12 ·
Replies
12
Views
2K
Find velocities when a mass leaves a system of a rod with two masses
  • · Replies 10 ·
Replies
10
Views
2K
Angular Acceleration of a Flywheel Lab
  • · Replies 7 ·
Replies
7
Views
6K
Determine the angular acceleration and angular velocity
  • · Replies 2 ·
Replies
2
Views
4K