Angular Acceleration: Find Angle in 2 Seconds

AI Thread Summary
To find the angle a wheel rotates through under constant angular acceleration, the initial angular velocity is 6 rad/s, and the angular acceleration is 6 rad/22. The total angle can be calculated using the formula θ = ω₀t + 0.5αt², where θ is the angle in radians, ω₀ is the initial angular velocity, α is the angular acceleration, and t is time. After calculating, the angle in radians can be converted to degrees using the conversion factor of 360 degrees = 2π radians. The discussion emphasizes the importance of considering angular acceleration in the calculation.
omgitsmonica
Messages
22
Reaction score
0

Homework Statement


A wheel accelerates with constant angular acceleration of 6 rad/22. If the initial angular velocity is 6 rad/s. what is the angle in degrees that the wheel rotates through in 2 seconds?


Homework Equations



360 degrees = 2pi radians

The Attempt at a Solution



6*2pi = 37.699

Can it really be that simple?
 
Physics news on Phys.org
No. For one thing, the wheel is accelerating. That is important, you can't just ignore it. Make a list of what you know, and apply the appropriate equation to find what you don't know.
 

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

Centripetal Acceleration while Swinging a Stone on a String
Replies
9
Views
1K
Solve Angular Velocity & Acceleration - Dimensional Analysis
Replies
3
Views
2K
What is the Linear Distance and Angular Velocity of a Rotating Potter's Wheel?
Replies
7
Views
2K
Finding linear acceleration of a spool and cable
Replies
6
Views
2K
Angular velocity and angular acceleration of a turbine
Replies
17
Views
3K
Angular momentum and a summersault problem
Replies
19
Views
2K
Relating Linear and Angular Kinematics
Replies
3
Views
2K
How to calculate angular speed?
Replies
7
Views
2K
How Does Torque Affect Angular Acceleration in a Circular Disk?
Replies
8
Views
3K
Angular speed, acceleration, and angle of a Ferris wheel
Replies
4
Views
2K

Hot Threads

Recent Insights

Back
Top