2 more thermal expansion questions

  • Thread starter F|234K
  • Start date
  • #1
F|234K
74
0
1.) a steel rod is 3 cm in diameter at 25 C. a brass ring has an interior diameter of 2.992 cm at 25 C. at what common temperture will the ring just slide into the rod?

for this Q, i am not too sure which equation to use. i think it's the volume change one, which is delta V= beta(Vo)(delta T)

but i don't know how the temperature and the diameter is going to fit in...

2.) a grandfather's clock is calibrated at a temperature of 20 C. the pendulum is a think brass rod with a heavy mass attached to the end. on a hot day, when the temperature is 30 C, does the clock run fast or slow? how much time does it gain or lose in a 24 hour period?

this Q...i just have no idea how to start...

thanks in advance, any suggestions/comments are greatly appreciated.
 

Answers and Replies

  • #2
Doc Al
Mentor
45,462
1,950
F|234K said:
1.) a steel rod is 3 cm in diameter at 25 C. a brass ring has an interior diameter of 2.992 cm at 25 C. at what common temperture will the ring just slide into the rod?

for this Q, i am not too sure which equation to use. i think it's the volume change one, which is delta V= beta(Vo)(delta T)

but i don't know how the temperature and the diameter is going to fit in...
Forget about volume; the rod will just slide into the ring when their diameters are the same. You need to find the [itex]\Delta T[/itex] that will have them end up with the same diameter.
2.) a grandfather's clock is calibrated at a temperature of 20 C. the pendulum is a think brass rod with a heavy mass attached to the end. on a hot day, when the temperature is 30 C, does the clock run fast or slow? how much time does it gain or lose in a 24 hour period?
Hint: How does the period of a pendulum depend on its length?
 
  • #3
F|234K
74
0
for number one, are u suggesting taht i should use the linear equation instead of the volume one?

linear equation being delta L=alpha(Lo)(delta T)
 
Last edited:
  • #4
F|234K
74
0
"Hint: How does the period of a pendulum depend on its length?"

taht the thing i don't no...so i can't do the Q...
 
  • #5
Doc Al
Mentor
45,462
1,950
F|234K said:
for number one, are u suggesting taht i should use the linear equation instead of the volume one?
Absolutely.

Regarding the pendulum: Look it up! :smile:
 
  • #6
F|234K
74
0
thanks alot.
 

Suggested for: 2 more thermal expansion questions

Replies
2
Views
494
  • Last Post
Replies
4
Views
346
  • Last Post
Replies
8
Views
361
  • Last Post
Replies
3
Views
391
  • Last Post
Replies
7
Views
711
  • Last Post
Replies
1
Views
445
Replies
3
Views
431
Replies
2
Views
725
Replies
1
Views
952
  • Last Post
Replies
2
Views
1K
Top