dondre54

27.02.2020 • 

Physics

In a lecture demonstration, the instructor aims a blowgun directly at Barney, a stuffed purple dinosaur, who is suspended from the ceiling at a vertical height H above the muzzle of the blowgun, a horizontal distance D away. At the instant she launches a dart with speed v0, Barney is released from rest.

a. Derive an expression, in terms of system parameters, for the dart’s vertical position when the dart has covered the horizontal distance D. b. Derive an expression, in terms of system parameters, for Barney’s vertical position at the instant the dart has the covered the horizontal distance D. Hint: The angle θ between initial velocity and the horizontal is not given, but you can find sin θ, cos θ and tan θ from the given distances.

Ответ:

Cartucho1978

15.08.2022

Physics

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The height of the water column = 1.62405 × 10⁻¹ m

Explanation:

The air cavity in the Coke bottle = 0.220 m deep

The fundamental (frequency) it plays when water is added to shorten the column and it is blown across the top, f = 528 Hz

The given speed of sound in air, v = 343 m/s

We note that the air cavity in the coke bottle is equivalent to a tube closed at one end

The fundamental frequency for a tube closed at one end, 'f', is given as follows;

f = v/(4·L) = v/λ

Where;

L = The height of the water column

λ = The wavelength of the wave

∴ 4·L = v/f = (343 m/s)/(528 Hz) = 0.6496 m

∴ L = 0.6496 m/4 = 0.162405 m

The height of the water column = 1.62405 × 10⁻¹ m.

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