A steel bar is 10 mm diameter and 2 m long. It stretched with a force of 20 kN and extends by 0.2 mm. Calculate the stress and strain. What is the Young’s modulus of the steel bar?

Answers

Answer 1

Answer:

2.5 * 10^12 Nm-2

Explanation:

Stretching force = 20 * 10^3 N

diameter = 10 * 10^-3 m

extension = 0.2 * 10^-3 m

length of bar = 2m

Young Modulus = stress/strain

stress = Force/Area

Strain = extension/length

Young Modulus = Force/Area/extension/length

But area = πr^2 = 3.142 * (5 *10^-3)^2 = 7.9 * 10^-5 m^2

Stress = 20 * 10^3/7.9 * 10^-5  = 2.5 * 10^8 Nm-2

Strain = 0.2 * 10^-3/2 = 1 * 10^-4

Young Modulus = 2.5 * 10^8/1 * 10^-4  

Young Modulus =  2.5 * 10^12 Nm-2


Related Questions

Which type of text takes a larger proportion of money from people who make more money?

A
fair tax

B
progressive tax

C
proportional tax

D
regressive tax

Answers

Answer:

B: progressive tax

Explanation:

A progressive tax exacts a higher tax rate on high-income earners. The taxpayer's income is the basis for the tax rate. Under the progressive tax system, income levels are grouped into tax brackets. Taxpayers in a low-income bracket will have a low tax rate compared with those in the higher-income bracket. It means the wealthy will pay more taxes compared to the poor. The more the income, the higher the taxes paid.

A major concern with Social Security is the possibility that funds will not be available when today’s tax-payers retire to become beneficiaries. According to the Social Security Trustee’s report, an increase of 1.89% in the Social Security payroll tax would keep the account full for the next 75 years. To achieve similar results, benefits would have to be decreased from the current 42% of the ending salary to 29% of the salary. Cindy is relatively new to the workforce. She has 32 years until she can retire. Her current annual salary is $45,000. 1a) Calculate how much Cindy will have to pay in Social Security tax (6.2%) based on this salary. 1b) Calculate how much Cindy will have to pay in Social Security tax if the tax was increased by 1.89%. 2a) Calculate Cindy’s annual Social Security benefit (about 42%) if her salary remains unchanged until she retires (annual average is $45,000). 2b) Calculate Cindy’s annual Social Security benefit if her salary remains unchanged but benefits (based on her annual salary of $45,000) were cut from 42% to 29%. 3) If Cindy were given a choice between the increase in Social Security tax now or the decrease in Social Security benefits when she retires, which would you recommend she choose? Explain your answer thoroughly.

Answers

If the tax was raised by 1.89%, Cindy will be responsible for paying Social Security tax 3,640.50.

Equation :

1a) 45,000 * 6.2% = 2,790

1b) 45,000 * (6.2% + 1.89%) = 45,000 * 8.09% = 3,640.50

2a) 45,000 * 42% = 18,900

2b) 45,000 * 29% = 13,050

Briefing :

Instead of a reduction in Social Security benefits when she retires, I believe it would be preferable to have an increase in Social Security taxes now and earn an annual pension of $18,900.

Does everyone contribute to Social Security?

Regardless of whether they are employed by an employer or work for themselves, the majority of taxpayers are required to pay Social Security taxes on their income. A few categories of American taxpayers are exempt from the Social Security tax, nevertheless.

By choosing not to participate in Social Security, you can invest more of your salary in your own retirement plan. Additionally, it offers you the option to manage that portion of your income on your own terms based on biblical principles rather than letting Uncle Sam make that decision for you.

To know more about Social Security taxes visit:-

https://brainly.com/question/18268724

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How does an employee know how much their paycheck is going to be?

pls help me

Answers

Answer:

There supposed to be given that info when applying for the job or in meeting! hope it helped :))

When an individual taxpayer sells depreciable real property used in a business for an amount that exceeds its original cost/original basis, how is the gain taxed

Answers

Answer:

The gain will be taxed as long-term capital gain and will be reported on the income taxes.

Explanation:

This capital gain by this individual taxpayer results from an increase in a capital asset's value.  It is only considered to be realized when the taxpayer sells the asset.  A capital gain may be regarded as a short-term (one year or less) capital gain or a long-term (more than one year) capital.  The taxpayer is expected to report the capital gain on her income taxes.

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