Question
Question 7 (1 point) \begin{tabular}{|l|l}\hline Listen \\ An electric motor has four shims under the front feet. They are \( 0.5 \mathrm{mil}, 1 \mathrm{mil}, 50 \mathrm{mil} \) \\ and 100 mil. What is the total stack height of the shims expressed in inches? \end{tabular}
Ask by Moreno Floyd. in Canada
Nov 15,2024
Real Tutor Solution
Tutor-Verified Answer
Answer
The total stack height of the shims is 0.1515 inches.
Solution
To find the total stack height of the shims in inches, we need to convert the thickness of each shim from mils to inches and then add them up.
Given:
- Shim 1: 0.5 mil
- Shim 2: 1 mil
- Shim 3: 50 mil
- Shim 4: 100 mil
First, let's convert the thickness of each shim from mils to inches:
1 mil = 0.001 inches
Now, we can calculate the total stack height by adding the thickness of each shim in inches:
Total stack height = 0.5 mil + 1 mil + 50 mil + 100 mil
Let's calculate the total stack height in inches.
Calculate the value by following steps:
- step0: Calculate:
\(0.5\times 0.001+1\times 0.001+50\times 0.001+100\times 0.001\)
- step1: Multiply the numbers:
\(0.0005+1\times 0.001+50\times 0.001+100\times 0.001\)
- step2: Multiply:
\(0.0005+0.001+50\times 0.001+100\times 0.001\)
- step3: Multiply the numbers:
\(0.0005+0.001+0.05+100\times 0.001\)
- step4: Multiply the numbers:
\(0.0005+0.001+0.05+0.1\)
- step5: Add the numbers:
\(0.1515\)
The total stack height of the shims is 0.1515 inches.
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To find the total stack height of the shims, first convert each shim from mils to inches. There are 1000 mils in an inch, so: - \( 0.5 \text{ mil} = \frac{0.5}{1000} = 0.0005 \text{ inches} \) - \( 1 \text{ mil} = \frac{1}{1000} = 0.001 \text{ inches} \) - \( 50 \text{ mil} = \frac{50}{1000} = 0.05 \text{ inches} \) - \( 100 \text{ mil} = \frac{100}{1000} = 0.1 \text{ inches} \) Now, add them all together: \[ 0.0005 + 0.001 + 0.05 + 0.1 = 0.1515 \text{ inches} \] So the total stack height of the shims is \( 0.1515 \) inches.