Thermal expansion, percent change in density problem

AI Thread Summary
When the temperature of a metal cylinder increases from 0.0°C to 100°C, its length increases by 0.23%, which affects its volume. Since all linear dimensions of the cylinder expand by the same percentage, the volume change can be calculated using the formula for volume. The density change can then be determined by recognizing that mass remains constant while volume increases. This leads to a decrease in density, which can be expressed as a percent change. Understanding the relationship between length, volume, and density is crucial for solving this problem.
ctpengage
Messages
33
Reaction score
0

Homework Statement



When the temperature of a metal cylinder is raised from 0.0°C to 100°C, its length increases by 0.23%. Find the percent change in density.


Homework Equations


∆L = L∆T
p=m/v

The Attempt at a Solution



I don't have any real idea how to start the problem. How do I relate the change in length to the change in volume? I know that mass is constant.

Thanks
 
Physics news on Phys.org
How do you find the volume of a cylinder? Hint: All linear dimensions increase by the same percentage.
 
oh my god thanks so much
 

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

Thermal Expansion of a Wire Connected To a Rod
Replies
6
Views
3K
Thermal expansion of square from temperature increase of 50K
Replies
28
Views
2K
How to calculate freezing time for a moist food by-product (75% water)
Replies
6
Views
642
Change in density due to thermal expansion
Replies
5
Views
4K
Thermal expansion of liquid in a tube
Replies
2
Views
2K
JEE solution wrong? (tempco of a clock)
Replies
14
Views
1K
Calculating the coefficient of thermal expansion from density
Replies
11
Views
2K
Thermal expansion of bimetallic strip
Replies
19
Views
4K
Problem concerning about thermal physics
Replies
3
Views
2K
Iron Ring Expansion: Solve for Δθ to Find Temp Increase
Replies
2
Views
2K

Hot Threads

Recent Insights

Back
Top