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nika2105 [10]
3 years ago
11

The annoying sound from a mosquito is produced when it beats its wings at the average rate of 600. wingbeats per second. What is

the wavelength? The speed of sound in the air is 340 m/s.
0.567 m
1.13 m
1.76 m
2.04 E 5 m
Physics
1 answer:
Svetach [21]3 years ago
6 0

Wavelength = (speed) / (frequency)

Wavelength = (340 m/s) / (600 /s)

Wavelength = 0.567 meter
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If a CFOC was launched and travels 65 meters and is in the air for 3 seconds, what is the launch velocity and angle?
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Lauch velocity (u) = 26.15 m/s

Lauch Angle (θ) = 35°

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From the question given above, the following data were obtained:

Range (R) = 65 m

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Lauch velocity (u) =?

Lauch Angle (θ) =?

R = u²Sin2θ /g

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Recall:

Sin2θ = 2SinθCosθ

65 = u² × 2SinθCosθ / 10

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Cross multiply

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325 = u² × SinθCosθ .....(1)

T = 2uSinθ / g

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3 = uSinθ / 5

Cross multiply

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Divide both side by Sinθ

u = 15 / Sinθ....... (2)

Substitute the value of u in equation (2) into equation (1)

325 = u² × SinθCosθ

u = 15 / Sinθ

325 = (15 / Sinθ)² × SinθCosθ

325 = 225 / Sin²θ × SinθCosθ

325 = 225 × SinθCosθ / Sin²θ

325 = 225 × Cosθ / Sinθ

Cross multiply

325 × Sineθ = 225 × Cosθ

Divide both side by Cosθ

325 × Sineθ / Cosθ = 225

Divide both side by 325

Sineθ / Cosθ = 225 / 325

Sineθ / Cosθ = 0.6923

Recall:

Sineθ / Cosθ = Tanθ

Tanθ = 0.6923

Take the inverse of Tan

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θ = 35°

Substitute the value of θ into equation (2) to obtain the value of u.

u = 15 / Sinθ

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u = 15 / Sin 35

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Summary:

Lauch velocity (u) = 26.15 m/s

Lauch Angle (θ) = 35°

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