CHEGG In the final stages of production, a pharmaceutical is sterilized by heating it from 25 to 75C as it moves at 0.2 m/s thro
1 answer:
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Answer:
1) 9.8×10⁻⁹ m/s
2) 50970.3238656 L
Explanation:
1) In 30 days hair grows 1 inch
1 inch = 2.54 cm
1 cm = 0.01 m
2.54 cm = 2.54 × 0.01 m
⇒2.54 cm = 0.0254 m
30 days = 30×24×60×60 = 2592000 seconds
Speed = Distance / Time
Speed at which hair grows is 9.8×10⁻⁹ m/s
2) 1 ft = 0.3048 m
0.3048 m = 30.48 cm
1 ft = 30.48 cm
15 ft = 15×30.48 = 457.2 cm
8 ft = 8×30.48 = 243.84 cm
Volume of water in pool = Length × Width × Depth
⇒Volume of water in pool = 457.2×457.2×243.84
⇒Volume of water in pool = 50970323.8656 cm³
or
Volume of water in pool = 15×15×8 = 1800 ft³
1 ft³ = 30.48³ cm³
1800 ft³ = 30.48³ × 1800 = 50970323.8656 cm³
Converting to liters
1 L = 1000 cm³
0.001 L = 1 cm³
50970323.8656 cm³ = 50970323.8656×0.001 = 50970.3238656 L
Volume of water in pool is 50970.3238656 L
The concept required to solve this problem is linked to inductance. This can be defined as the product between the permeability in free space by the number of turns squared by the area over the length. Recall that Inductance is defined as the opposition of a conductive element to changes in the current flowing through it. Mathematically it can be described as
Here,
= Permeability at free space
N = Number of loops
A = Cross-sectional Area
l = Length
Replacing with our values we have,
Therefore the Inductance is