Angular acceleration of a blender

AI Thread Summary
The discussion centers on calculating the angular acceleration of blender blades that rotate at 6100 RPM and come to a stop in 4.7 seconds. The initial angular velocity is calculated as 2.3 million rad/s using the formula w = 2(pi)f, where f is the frequency in revolutions per second. The angular acceleration is derived from the change in angular velocity over time, resulting in a value of approximately -489,286 rad/s². There is confusion regarding the conversion from RPM to rad/s, indicating a misunderstanding of the calculation process. Clarification on the formula w = 2(pi)f is also sought, highlighting the need for a better grasp of angular motion concepts.
daltomagne
Messages
4
Reaction score
0
The blades in a blender rotate at a rate of 6100rpm. When the motor is turned off during operation, the blades slow to rest in 4.7s
What is the angular acceleration as the blades slow down?
f=6100rpm=366000rps
dt=4.7s

w=2(pi)f
angular acceleration=dw/dt

w=2(pi)3.66*10^5=2.3*10^6 rad/s
wI=2.3*10^6 rad/s
wf=0
angular a=(0-(2.6*10^6))/4.7s=-489286 rad/s2


I thought I was doing it right, but it appears not.
 
Physics news on Phys.org
6100 rpm is not 366000 rad/s.

I'm not sure what w=2(pi)f means?
 

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 '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
Angular acceleration problem for a pulley used to raise an elevator
Replies
8
Views
2K
Find the angular speed at t=3 seconds
Replies
4
Views
3K
Angular velocity and angular acceleration of a turbine
Replies
17
Views
3K
Angular velocity- A toy train rolls around a horizontal track
Replies
8
Views
752
Rotational Inertia and Net Torque with Friction
Replies
10
Views
3K
What is the Linear Distance and Angular Velocity of a Rotating Potter's Wheel?
Replies
7
Views
2K
Did I do this angular acceleration problem right?
Replies
4
Views
3K
Earth's rotation slows down slightly over time -- How much energy is lost?
Replies
15
Views
2K
How Accurate Is the Calculation of Angular Acceleration and Time for a Yo-yo?
Replies
10
Views
1K

Hot Threads

Recent Insights

Back
Top