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Anika [276]
3 years ago
8

A dolphin in seawater at a temperature of 25°C emits a sound wave directed toward the ocean floor 154 m below. How much time pas

ses before it hears an echo? (The speed of sound in ocean water is 1533 m/s.)
Physics
1 answer:
Cerrena [4.2K]3 years ago
7 0

Answer:

0.2s

Explanation:

SO for the dolphin to hear its echo, the sound wave must travel a distance twice as much as the displacement between the dolphin and the ocean floor. So d = 154 * 2 = 308 m

Since the speed of sound in ocean floor is v = 1533m/s we can find out the time by dividing the distance d by the speed of sound

t = d / v = 308 / 1533 = 0.2s

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Express the angular velocity ω of the wheel in terms of the displacement d, the magnitude F of the applied force, and the moment
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Answer:

The angular velocity of the wheel in terms of d, F, and I is,  ω = d/t (F/I α)    s⁻¹

Explanation:

Given,

The angular velocity ω

The displacement d

The magnitude of the applied force, F

The moment of inertia of the wheel I = mr²

The angular velocity can be written as

                         ω = v /r

where,

                     v - linear velocity

                      r - radius of the wheel

                          ω = d/t (1/r)               (∵ v = d /t)

The force can be written as,

                          F = m a

                              = m α r                  (∵ a = α r)

Multiplying both sides by r

                          F r = m r² α

                           F r = I α                     (∵ I = mr²)

                              r = I α / F

Substituting in the above equation for ω

                          ω = d/t (F/I α)    s⁻¹

Hence, the angular velocity of the wheel in terms of d, F, and I is,  ω = d/t (F/I α)    s⁻¹

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