Calculating Distance Traveled on a Rotating Wheel

AI Thread Summary
To calculate the distance traveled by a point on a wheel's circumference, the formula s = r * θ is used, where r is the radius and θ is the angle in radians. For a wheel with a radius of 2.8 m, the distance for 30 radians is straightforward. To find distances for 30 degrees and 30 revolutions, conversion to radians is necessary: 30 degrees equals π/6 radians and 30 revolutions equals 60π radians. The problem emphasizes the importance of using radians for accurate calculations in rotational motion. Understanding these conversions simplifies the solution process.
featherua08
Messages
5
Reaction score
0
[SOLVED] Rotational Motion question!

Homework Statement


A wheel has a radius of 2.8 m. How far does a point on the circumference travel if the wheel is rotated through angles of 30 degrees, 30 radians, and 30 revolutions?


Homework Equations





The Attempt at a Solution


I tried to use s=2pie(r) & theta=s/r but neither worked.

This problem seems like it would be super easy, but I really have no idea how to do it! Help!

Thanks!
 
Last edited:
Physics news on Phys.org
It is super easy. s=r*theta works if the angle is measured in radians. That makes the 30 radian part pretty easy. For the others you'll need to convert degrees and revolutions to radians.
 
Thank you!
 

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

Force on a rotating wheel/disc
Replies
25
Views
2K
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
Calculating Clicks: Spoke Card Oscillations and Rotational Motion
Replies
3
Views
2K
Force exerted on counter-rotating wheels by a tennis ball
Replies
44
Views
6K
Calculating Distance Traveled by Semi-Trailer Truck Odometer
Replies
4
Views
2K
Calculate the radius of this rotating wheel
Replies
9
Views
2K
How Does Coriolis Force Influence Particle Motion in Rotating Systems?
Replies
3
Views
1K
Circular Motion Application Question
Replies
1
Views
1K
Constraints on a hoop rolling on a cylinder
Replies
1
Views
3K

Hot Threads

Recent Insights

Back
Top