Calculating Temperature Change of Steel Strut in Submarine

Click For Summary
SUMMARY

The discussion focuses on calculating the temperature change of a steel strut in a submarine after absorbing 300,000 J of energy. The relevant formula used is ΔT = Q/(m*c), where Q is the energy absorbed, m is the mass of the steel strut, and c is the specific heat capacity of steel (448 J/kg·°C). The mass is determined using the density of steel (7,800 kg/m³) and the volume calculated from the cross-sectional area (7.00x10^-4 m²) and length (2.50 m) of the strut. The final formula for mass is m = ρ*A*l, leading to the correct temperature change calculation.

PREREQUISITES
  • Understanding of thermal energy transfer and specific heat capacity
  • Knowledge of density and volume calculations
  • Familiarity with basic algebraic manipulation of equations
  • Concept of mass calculation from density and volume
NEXT STEPS
  • Learn how to calculate volume from cross-sectional area and length
  • Study the principles of thermal expansion in materials
  • Explore the specific heat capacities of various materials
  • Investigate energy transfer in different engineering applications
USEFUL FOR

Students studying thermodynamics, mechanical engineers, and anyone involved in materials science or submarine engineering.

BunDa4Th
Messages
188
Reaction score
0

Homework Statement



Suppose a steel strut with cross-sectional area 7.00x10^-4 m2 and length 2.50 m is bolted between two rigid bulkheads in the engine room of a submarine.
(a) Calculate the change in temperature of the strut if it absorbs an energy of 3.00x10^5 J. °C

Homework Equations



Q = mcDeltaT
DeltaT = Q/mc

The Attempt at a Solution



I tried using the formula DeltaT = Q/mc

Delta T = 3.00 x 10^5/ m(448 J/kg *C)

the problem I am having is how do i find the mass?
 
Physics news on Phys.org
Density of steel \rho _{steel} = 7.8 \times 10^3\ kg/m^3
 
I still don't understand how to solve this problem knowing the density of steel.
 
Use it to find the mass of the steel.
 
m = psteelV

how do i find v?
 
Last edited:
No. You are given the cross sectional area and the length. Do you know how to calculate the volume from this information?
 
okay i figure out how to solve this.

it was P_steel x cross sec. area / length = m
 
Not quite: V=A*l (where A is the cross sec. area, l is the length). Above you had the correct formula: m= ρ*V and so m= ρ*A*l
 
oops, my mistake. yes i did mean m = p x A x l that was how i got the correct answer.

Thanks for the correction and help.
 

Similar threads

  • · Replies 16 ·
Replies
16
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 5 ·
Replies
5
Views
1K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 5 ·
Replies
5
Views
6K
  • · Replies 2 ·
Replies
2
Views
1K
Replies
1
Views
3K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
Replies
1
Views
2K