Angular velocity of a machine problem

AI Thread Summary
A machine starts with an angular velocity of 1.6 rad/s and accelerates to 6.2 rad/s with an angular acceleration of 0.7 rad/s². To determine the number of revolutions made during acceleration and the time taken, the equations ω = ω₀ + αt and θ = θ₀ + ω₀t + 0.5αt² are utilized. The first equation helps find the time of acceleration, while the second calculates the total angular displacement in revolutions. The discussion highlights the importance of understanding the relationship between angular velocity, acceleration, and time in solving such problems. The equations provided are essential for approaching similar machine motion calculations.
vm310
Messages
13
Reaction score
0
A machine rotates at an angular velocity of 1.6rad/s. Its velocity is then increased to 6.2rad/s at an angular acceleration of 0.7rad/s2. (a) How many revolutions does it make during its acceleration? (b) How long does the acceleration take?


Sorry I'm not quite sure as how to approach this problem, and I don't even know where to begin. Any advice would be greatly appreciated.
 
Physics news on Phys.org
Do you know any equation that relates revolutions, angular velocity, angular acceleration, and time? Can you then show some work? Thanks.
 
aright i got it thanks! i used:

\omega=\omega0+\alphat

and

\theta=\theta0+\omega0+\frac{1}{2}\alphat2
 

Thread 'Rolling without slipping on a curved surface'

Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
View full post »

Thread 'Struggling to understand the concept of this question (ice cube in water optics question)'

TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...
View full post »

Similar threads

Angular velocity- A toy train rolls around a horizontal track
Replies
8
Views
770
System of two wheels of different sizes with an axle through their centers
2
Replies
67
Views
4K
What is the Linear Distance and Angular Velocity of a Rotating Potter's Wheel?
Replies
7
Views
2K
Help with Angular Velocity True-False Question
Replies
12
Views
1K
Perfectly inelastic collision between Projectile and a hinged disk
Replies
26
Views
1K
Angular momentum and a summersault problem
Replies
19
Views
2K
Sum of oscillating frequency and angular velocity
Replies
11
Views
2K
Determine the angular velocity as a function of the angle
Replies
39
Views
3K
Angular velocity and acceleration of a plank
Replies
7
Views
3K
How Do You Correctly Cancel Angular Momentum in Physics Problems?
Replies
3
Views
1K

Hot Threads

Recent Insights

Back
Top