Question
upstudy study bank question image url

A submarine window has 1730 N of force on it, due to water pressing it with 2.45 atm of pressure. What is the area of the wndow? (Unit \( =m^{\wedge} 2 \) ) As always, keep 3 sig figs.

Ask by Joseph Boyd. in South Africa
Jan 23,2025

Real Tutor Solution

Tutor-Verified Answer

Answer

The area of the window is approximately \(6.97 \times 10^{-3} \, \text{m}^2\).

Solution

To find the area of the submarine window, we'll use the relationship between force, pressure, and area: \[ \text{Pressure} (P) = \frac{\text{Force} (F)}{\text{Area} (A)} \] Rearranging for area: \[ A = \frac{F}{P} \] **Given:** - Force, \( F = 1730 \, \text{N} \) - Pressure, \( P = 2.45 \, \text{atm} \) **Step 1: Convert Pressure to Pascals (Pa)** \[ 1 \, \text{atm} = 101325 \, \text{Pa} \] \[ P = 2.45 \times 101325 \, \text{Pa} = 248,246.25 \, \text{Pa} \] **Step 2: Calculate the Area** \[ A = \frac{1730 \, \text{N}}{248,246.25 \, \text{Pa}} \approx 0.00697 \, \text{m}^2 \] **Rounded to three significant figures:** \[ A \approx 6.97 \times 10^{-3} \, \text{m}^2 \] **Final Answer:** The area of the window is approximately 6.97 × 10⁻³ m².

Reviewed and approved by the UpStudy tutoring team

error msg
Explain
Simplify this solution

The Deep Dive

To find the area of the submarine window, we can use the formula that relates force, pressure, and area: \[ \text{Pressure} = \frac{\text{Force}}{\text{Area}} \] Rearranging gives us: \[ \text{Area} = \frac{\text{Force}}{\text{Pressure}} \] Given the force on the window is 1730 N and the pressure is 2.45 atm, we first convert pressure from atm to pascals (Pa) since \(1 \text{ atm} = 101325 \text{ Pa}\): \[ 2.45 \text{ atm} = 2.45 \times 101325 \text{ Pa} \approx 248,853.75 \text{ Pa} \] Now, let's calculate the area: \[ \text{Area} = \frac{1730 \text{ N}}{248853.75 \text{ Pa}} \approx 0.00695 \text{ m}^2 \] Keeping three significant figures, the area of the window is approximately \(0.00695 \, \text{m}^2\).

Related Questions

Latest Physics Questions

Try Premium now!
Try Premium and ask Thoth AI unlimited math questions now!
Maybe later Go Premium
Study can be a real struggle
Why not UpStudy it?
Select your plan below
Premium

You can enjoy

Start now
  • Step-by-step explanations
  • 24/7 expert live tutors
  • Unlimited number of questions
  • No interruptions
  • Full access to Answer and Solution
  • Full Access to PDF Chat, UpStudy Chat, Browsing Chat
Basic

Totally free but limited

  • Limited Solution
Welcome to UpStudy!
Please sign in to continue the Thoth AI Chat journey
Continue with Email
Or continue with
By clicking “Sign in”, you agree to our Terms of Use & Privacy Policy