(8%) Problem 1: You place your ear onto a steel railroad track and hear the soun

Question

(8%) Problem 1: You place your ear onto a steel railroad track and hear the sound of a distant train through the rails seconds before you do through the air. The speed of sound in steel is vs 6100 m/s, and and the air temperature is 33° C 3.5 Find the distance, D, to the train in meters Grade Summary Deductions Potential 0% 100% cosO cotan) asin) acosO Submissions Attempts remaining: 10 (190 per attempt) sin tan() detailed view atan0 acotanO cosh0tanh) cotanh0 END DegreesRadians BA DEL CLEAR Submit Hint I give up! Hints: deduction per hint. Hints remaining: 2 Feedback: 0% deduction per feedback.

Explanation / Answer

Speed of sound in air:

331 m/s + 0.6 m/s*C * C

331 + 0.6 (33) = 350.8 m/s

We assume that the distance is the same for both events

Let time in rail be x then time in air is x+3.5

350.8 m/s (x+3.5)s = 6100 m/s (x)s

350.8 x + 1227.8 = 6100 x

5749.2 x = 1227.8

x = 0.21356 s time in rail

so

D = 6100 m/s * 0.21356 s = 1302.72m

Related Questions

Navigate

• Browse (All)
• Browse #
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.