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Digiron [165]
3 years ago
10

Shoo the fly flaps its wings back and forth 140 times each second. The frequency of the wing flapping is ____ Hz.

Physics
1 answer:
ExtremeBDS [4]3 years ago
5 0

Answer:

140 Hz

Explanation:

Frequency is the reciprocal of period hence f=1/T

Here, the frequency is 140 times per second hence the period will be 1/140= 0.0071428571428 s

Rounded off to 3 significant figures then the period is 0.00714 s or 0.714 ms

Otherwise, the frequency is already given as 140 cycles per second which is equivalent to 140 Hz

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3 years ago
A 200-Ω resistor is connected in series with a 10-µF capacitor and a 60-Hz, 120-V (rms) line voltage. If electrical energy costs
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Answer:

Cost to leave this circuit connected for 24 hours is $ 3.12.

Explanation:

We know that,

\mathrm{X}_{\mathrm{c}}=\frac{1}{2 \pi \mathrm{fc}}

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c= capacitor (10 µF = 10^-6)  

\mathrm{X}_{\mathrm{c}}=\text { Capacitive reactance }

Substitute the given values

\mathrm{X}_{\mathrm{c}}=\frac{1}{2 \times 3.14 \times 10 \times 10^{-6} \times 60}

\mathrm{X}_{\mathrm{c}}=\frac{1}{3.768 \times 10^{-3}}

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X^{2}=R^{2}+X c^{2}

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X^{2}=40000+70431.85

X^{2}=110431.825

x=\sqrt{110431.825}

X = 332.31 Ω

\text { Current }(I)=\frac{V}{R}

\text { Current }(I)=\frac{120}{332.31}

Current (I) = 0.361 amps

“Real power” is only consumed in the resistor,  

\mathrm{I}^{2} \mathrm{R}=0.361^{2} \times 200

\mathrm{I}^{2} \mathrm{R}=0.1303 \times 200

\mathrm{I}^{2} \mathrm{R}=26.06 \mathrm{Watts} \sim 26 \mathrm{watts}

In one hour 26 watt hours are used.

Energy used in 54 hours = 26 × 24 = 624 watt hours

E = 0.624 kilowatt hours

Cost = (5)(0.624) = 3.12  

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