1. Air is moving through a tube at 20 m/s the diameter of the tube is then made

Question

1. Air is moving through a tube at 20 m/s the diameter of the tube is then made smaller from 5cm to 3 cm.

(a) What is the velocity of the air in the smaller tube?

(b) What is the ratio of the velocities?

2. A sound wave is moving with a velocity of 348 m/s and has a frequency of 405 Hz.

(a) What is the wavelength?

(b)What is the frequency of the sound wave in seconds

3. If a block of some material that has a is placed in water will it float, and why?

4. Water moving through a tube moving the has a pressure of 1 atm at 6 m/s along the ground the tube then is raised to a height of 10 cm and the water’s speed is reduced to 3 m/s

(a) What is the dynamic pressure of the fluid before it is raised?

(b)What is the potential pressure after it is raised?

(c)What is the total pressure of the system after it is raised?

Explanation / Answer

(1)

Using continuity equation,

A1*v1 = A2*v2

pi*R1^2*v1 = pi*R2^2*v2

5^2*20 = 3^2*v2

v2 = 25/9*20

= 55.56 m/s.

Ratio of the vlocities,

v1/v2 = 20/55.56 = 9/25 = 0.36

or v2/v1 = 25/9 =2.778

(2)

(a) v = lambda*f

lambda= v/f = 348/4050.859 m (wavelength)

(b)

Second is not the unit of frequency. Per second is.

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