Calculating Time to Complete One Revolution of Airport Carousel

AI Thread Summary
The discussion focuses on calculating the time required for a suitcase to complete one revolution on an airport baggage carousel with a radius of 12.8 meters and a coefficient of static friction of 0.760 at an angle of 32.6°. The initial calculations provided include determining the linear distance of the carousel and the velocity of the suitcase using various equations. However, the approach is deemed incorrect due to the neglect of frictional forces. Participants suggest analyzing the problem using first principles, including a free body diagram and applying Newton's laws to accurately account for the forces acting on the suitcase. The discussion emphasizes the importance of incorporating friction into the calculations for a correct solution.
gmunoz18
Messages
29
Reaction score
0

Homework Statement



The drawing shows a baggage carousel at an airport. Your suitcase has not slid all the way down the slope and is going around at a constant speed on a circle (r = 12.8 m) as the carousel turns. The coefficient of static friction between the suitcase and the carousel is 0.760, and the angle in the drawing is 32.6°. How much time is required for your suitcase to go around once?

Homework Equations



v=sqrt(R*g*tan(theta))

2*pi*r

v=sqrt(r*friction*9.8)

The Attempt at a Solution



2*pi*12.8=80.424 meters

v=sqrt(125.44*tan(32.6)

v=sqrt(80.222)= 8.95 m/s


v=sqrt(8.95*.760*9.8)


this is incorrect, i know it has something to do with the frictional force but I am not sure where it goes into play
 
Last edited:
Physics news on Phys.org
Rather than plugging into a formula that neglects friction, analyze the problem using first principles. Identify the forces acting on the suitcase, draw a free body diagram, and apply Newton's laws.
 
Thread 'Collision of a bullet on a rod-string system: query'

Thread 'Collision of a bullet on a rod-string system: query'

In this question, I have a question. I am NOT trying to solve it, but it is just a conceptual question. Consider the point on the rod, which connects the string and the rod. My question: just before and after the collision, is ANGULAR momentum CONSERVED about this point? Lets call the point which connects the string and rod as P. Why am I asking this? : it is clear from the scenario that the point of concern, which connects the string and the rod, moves in a circular path due to the string...
View full post »
Thread 'A cylinder connected to a hanged mass'

Thread 'A cylinder connected to a hanged 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

Interpreting a banked circular motion question
Replies
5
Views
3K
Calculate angle of swing in a carousel
Replies
11
Views
5K
How Is Velocity and Acceleration Affected as a Carousel Slows Down?
Replies
3
Views
6K
Baggage Carousel Movement at an Angle
Replies
9
Views
5K
Two questions about centripetal acceleration,
Replies
1
Views
3K
Dynamics of Uniform Circular Motion
Replies
1
Views
4K
AP Physics problem help - centripetal motion
Replies
12
Views
9K
How Fast Does Your Suitcase Travel on a Baggage Carousel?
Replies
1
Views
3K
What is the coefficient of static friction between the bag and the carousel?
Replies
4
Views
7K
Centripetal force and friction problem
Replies
10
Views
7K

Hot Threads

Recent Insights

Back
Top