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11111nata11111 [884]
3 years ago
10

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 s

train. What is the Young’s modulus of the steel bar?
Business
1 answer:
Firlakuza [10]3 years ago
7 0

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

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2 years ago
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= 300,000 -294,700

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= (Standard Output -Actual Output ) × Fixed Overhead absorption rate per unit of output

= (1,000,000 - 900,000) × (300,000 ÷ 1,000,000)

= 30,000 Unfavorable

2. Actual Hours = 190,000

Actual variable Overhead = 800,000 -294,700

                                           = 505,300

Standard variable Overhead rate = (750,000 - 300,000) ÷ 200,000

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= (190,000 × 2.25) - 505,300

= 77,800 unfavorable

Variable overhead Efficiency variance:

= (Standard Hour - Actual Hour) × Standard variable Overhead rate

= [(200,000 ÷ 1,000,000) × 900000 - 190,000] × 2.25

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3. The Journal entries are as follows:

WIP inventory A/C                               Dr.  $727,500

To Fixed manufacturing Overhead                            $300,000

To Variable manufacturing Overhead                       $427,500

(To record fixed and variable manufacturing overhead)

Workings:

Variable manufacturing Overhead = 190,000 × 2.25

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Fixed manufacturing Overhead A/c    Dr. $5,300

WIP Inventory A/C                                 Dr. $72,500

To Variable manufacturing Overhead                         $77,800

(To record Closing out overhead variances)

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