Can someone explain/show how to set this problem up

  • Thread starter Thread starter Ion1776
  • Start date Start date
  • Tags Tags
    Set
AI Thread Summary
To determine how far the hamster runs in its wheel, first calculate the circumference using the formula C = 2πr, where r is the radius of 6.8 cm, resulting in a circumference of approximately 42.7 cm. The hamster runs for 3.1 hours, which equals 11,160 seconds. With an angular velocity of 3.0 radians per second, the hamster completes about 0.477 turns per second. To find the total distance, multiply the number of turns by the circumference, leading to a final distance of approximately 1,000 meters run in one night. Understanding the relationship between angular velocity, time, and distance is crucial for solving this problem.
Ion1776
Messages
37
Reaction score
0
A hamster runs in its wheel for 3.1 hours every night. If the wheel has a 6.8 cm radius and its average angular velocity is 3.0 radians per second, how far does the hamster run in one night?
 
Physics news on Phys.org
I would convert that 3 radians into a number of turns. I think a full turn is 2*pi radians, so it is about half a turn per second. How far does the hamster go in a turn?
 
So, 3.0/2pi=.4774648

3.1 hours * 3600secs=11160 Secs

Now what to do with the radius, and what equation to use

thanks
 
Not quite, look at your units. He runs at 3rads/s and the entire circle is 2pi rads. You want to find the time it takes to go through the entire circle. Once you find that you need to find how far one complete turn is. The hamster travels the circumference of the circle each revolution. How far is that?
 

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

How Far Does a Hamster Run in Its Wheel in One Night?
Replies
5
Views
2K
Angular Velocity of a hamster wheel
Replies
1
Views
4K
How to set up this problem with driven torsional oscillator?
Replies
5
Views
853
How Do You Calculate Angular Acceleration from RPM?
Replies
2
Views
2K
Can you help me explain how to find angular velocity?
Replies
6
Views
4K
Calculating Final Rotation of Spinning Wheel
Replies
13
Views
3K
How Is Angular Acceleration Calculated for a Speeding Ferris Wheel?
Replies
1
Views
2K
Angular displacement in radians
Replies
6
Views
3K
Angular velocity, can someone help?
Replies
4
Views
2K
How to Apply Derivatives in Physics Problems?
Replies
9
Views
1K

Hot Threads

Recent Insights

Back
Top