Angular Velocity [SOLVED] for Flywheel Generator Problem

Click For Summary
The discussion addresses the calculation of angular velocity for a flywheel generator with a given angular acceleration function a(t) = 6bt - 12ct². The initial attempt to find angular velocity w(t) = w0 + at was deemed incorrect, as it misapplies equations meant for constant angular acceleration. The correct approach requires integrating the variable angular acceleration over time. The distinction between constant and variable angular acceleration is emphasized, highlighting the need for proper integration techniques. Understanding these principles is crucial for accurately solving problems involving angular motion.
kasse
Messages
383
Reaction score
1
[SOLVED] Angular velocity

Homework Statement



The angular acceleration of a flywheel of a generator is given by

a(t) = 6bt - 12ct2

What is the angular velocity at t when the initial velocity is w0?


The Attempt at a Solution



w = w0 + at = w0 + 6bt2 - 12ct3


This is wrong according to my book. Can't I use the same equations for angular motion as for linear motion?
 
Physics news on Phys.org
The equation you have written is for solving angular velocity when the angular acceleration is constant.
 

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

Solve Angular Velocity & Acceleration - Dimensional Analysis
  • · Replies 3 ·
Replies
3
Views
2K
How to find the final angular velocity
  • · Replies 7 ·
Replies
7
Views
2K
Show that the flywheel inside the train counteracts lean in a curve
  • · Replies 4 ·
Replies
4
Views
2K
What Are the Initial Angular Velocity and Angular Acceleration of the Flywheel?
  • · Replies 1 ·
Replies
1
Views
2K
Perfectly inelastic collision between Projectile and a hinged disk
  • · Replies 26 ·
Replies
26
Views
1K
Angular Acceleration Homework: 962 Revolutions in 10 Secs
  • · Replies 1 ·
Replies
1
Views
4K
Angular Momentum Problem: Torque after fall
  • · Replies 4 ·
Replies
4
Views
1K
Existential dilemma on angular velocity of a complex rigid body
  • · Replies 25 ·
Replies
25
Views
2K
What is the final angular velocity of each cylinder
  • · Replies 1 ·
Replies
1
Views
2K
Angular Acceleration of a Flywheel Lab
  • · Replies 7 ·
Replies
7
Views
6K