The tallest Ferris wheel in the world is located in Singapore. Standing 42 stories high and holding as many as 780 passengers, the Ferris wheel has a diameter of 150m and takes approximately 30 minutes to make a full circle. Determine the speed of the riders (in m/s) on the Singapore Flyer.

Answers

Answer 1

Answer:

The speed of the riders on the Singapore Flyer is approximately 0.262 m/s

Explanation:

The dimensions of the tallest Ferris wheel in the world are;

The diameter of the Ferris wheel, D = 150 m

The tine it takes the Ferris wheel to make a full circle, T = 30 minutes = 30 min × 60 s/min = 1,800 seconds

The angular velocity of the Ferris wheel, ω = 2·π/T

The linear velocity of the Ferris wheel, v = r·ω = The speed of the riders

Where;

r = The radius of the Ferris wheel = D/2

D = 150 m

∴ r = 150 m/2 = 75 m

∴ v = r·2·π/T

∴ v = 75 m × 2 × π/(1,800 s) ≈ 0.262 m/s

The speed of the riders on the Singapore Flyer, v ≈ 0.262 m/s


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Answers

Answer:

a)     v = 345.5 m / s,  b)    f = 183.8 Hz,  c)  λ = 1,336 m

Explanation:

a) the speed of sound depends on the density of the medium and this depends on the temperature, therefore

         v = [tex]v_o \ \sqrt{1+ \frac{T}{273} }[/tex]

where v₀ is the speed of sound at 0ºC v₀ = 331 m / s

         v = 331  [tex]\sqrt{1 + \frac{24.5}{273} }[/tex]

         v = 345.5 m / s

c) In the exercise they indicate that the flute is a tube with the two ends open, so that at each end there is a belly, the resonance is

        λ / 2 = L

        λ = 2L

        λ = 2 0.668

        λ = 1,336 m

b) let's apply the relationship between speed, wavelength and frequency

        v = λ f

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        f = 183.8 Hz

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Answers

Answer:

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Answer:

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Answers

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