Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 1: Q25 E (page 1)

A circular steel wire 2.00 m long must stretch no more than 0.25 cm when a tensile force of 700 N is applied to each end of the wire. What minimum diameter is required for the wire?

Short Answer

Expert verified

Minimum diameter is : d = 1.9 mm .

Step by step solution

01

Given information:

Force: F= 700 N ,

Elongation:∆l=0.25cm,

length:l0=2m.

02

Concept/Formula used:

Y=l0F∆l

Where, Y is Young’s modulus,l0is length of muscle, F is muscle force, A is cross-sectional area and localid="1668001796091" ∆lis elongation.

03

Calculation for diameter:

Y=I0F∆lA=I0F∆l

For steel: Y=2.0×1011Pa

A=(2.0m)(700N)(2.0×1011Pa)(0.25×10-2m)=2.8×10-6m2

A=πr2r=Aπ=2.8×10-6m2π=9.44×10-4m

d=2r=2×9.44×10-4m=1.9mm

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

A cargo ship travels from the Atlantic Ocean (salt water) to Lake Ontario (freshwater) via the St. Lawrence River. The ship rides several centimeters lower in the water in Lake Ontario than it did in the ocean. Explain

You throw a glob of putty straight up toward the ceiling,which is 3.60 m above the point where the putty leaves your hand.The initial speed of the putty as it leaves your hand is 9.50 m/s.

(a) What is the speed of the putty just before it strikes the ceiling?

(b) How much time from when it leaves your hand does it take theputty to reach the ceiling?

(a) The recommended daily allowance (RDA) of the trace metal magnesium is 410 mg/day for males. Express this quantity in µg/day. (b) For adults, the RDA of the amino acid lysine is 12 mg per kg of body weight. How many grams per day should a 75-kg adult receive? (c) A typical multivitamin tablet can contain 2.0 mg of vitamin B2 (riboflavin), and the RDA is 0.0030 g/day. How many such tablets should a person take each day to get the proper amount of this vitamin, if he gets none from other sources? (d) The RDA for the trace element selenium is 0.000070 g/day. Express this dose in mg/day.

You hold a hose at waist height and spray water horizontally with it. The hose nozzle has a diameter of 1.80 cm, and the water splashes on the ground a distance of 0.950 cm horizontally from the nozzle. If you constrict the nozzle to a diameter of 0.750 cm, how far from the nozzle, horizontally, will the water travel before it hits the ground? (Ignore air resistance.)

Starting from the front door of a ranch house, you walk 60.0 m due east to a windmill, turn around, and then slowly walk 40.0 m west to a bench, where you sit and watch the sunrise. It takes you 28.0 s to walk from the house to the windmill and then 36.0 s to walk from the windmill to the bench. For the entire trip from the front door to the bench, what are your (a) average velocity and (b) average speed?
See all solutions

Recommended explanations on Physics Textbooks

Work Energy and Power

Read Explanation

Measurements

Read Explanation

Fields in Physics

Read Explanation

Turning Points in Physics

Read Explanation

Further Mechanics and Thermal Physics

Read Explanation

Atoms and Radioactivity

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free