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worty [1.4K]
3 years ago
12

If 3.5 paper clips = 1.0 pencils and your paper is 1.5 pencils long, how many paper clips long is your paper?

Physics
1 answer:
Andrews [41]3 years ago
6 0
\bf \begin{array}{ccll}
paperclips&pencils\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
3.5&1.0\\
p&1.5
\end{array}\implies \cfrac{3.5}{p}=\cfrac{1.0}{1.5}\implies \cfrac{3.5\cdot 1.5}{1}=p
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speed and acceleration of the turbine V = 80.24 m/s   and a = 109.1 m/s²

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The wind turbine describes a circular motion, with constant angular velocity, we can find the speed with the equation

                     V = x / t

Where x is the distance traveled which is the length of the circle (X = 2πr) and time is the time in a revolution, which in this case is called the period

                    t = 60/13  

                    t = 4.62 s

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                    V = 370.1 / 4.62

                    V = 80.24 m / s

The centripetal acceleration is given by the equation

                   a = V² / r

                   a = 80.24²/59

                   a = 109.1 m / s²

The second part of the exercise seems totally independent

The dog r = 16cm with a speed of 2.5 m/s, ask us the centripetal force

                  F = m a

                  F = m (v² / r)

                  m = 10 mg (1g / 1000mg) 1 Kg / 1000 g) = 1 10⁻⁵ Kg

                  r = 16 cm (1m / 100cm) = 16 10⁻² m

         

                 F = 1 10⁻⁵ 2.5²/16 10⁻²

                 F = 3.91 10⁻² N

Let's calculate the relationship between the force and the weight of the drop

                 F / W = 3.91 10⁻² (1 10⁻⁵ 9.8)

                 F / W = 3.99 10 ²

See that the force of the shake is approximately 400 times greater than the weight of the drop

6 0
3 years ago
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