Angular Velocity [SOLVED] for Flywheel Generator Problem

AI Thread 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 'Errors and significant figures'

I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
View full post »
Thread 'Calculation of Tensile Forces in Piston-Type Water-Lifting Devices at Elevated Locations'

Thread 'Calculation of Tensile Forces in Piston-Type Water-Lifting Devices at Elevated Locations'

Figure 1 Overall Structure Diagram Figure 2: Top view of the piston when it is cylindrical A circular opening is created at a height of 5 meters above the water surface. Inside this opening is a sleeve-type piston with a cross-sectional area of 1 square meter. The piston is pulled to the right at a constant speed. The pulling force is（Figure 2）： F = ρshg = 1000 × 1 × 5 × 10 = 50,000 N. Figure 3: Modifying the structure to incorporate a fixed internal piston When I modify the piston...
View full post »
Thread 'A cylinder connected to a hanging mass'

Thread 'A cylinder connected to a hanging mass'

Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
View full post »

Similar threads

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

Hot Threads

Recent Insights

Back
Top