Kinematics and Hydrostatics/Hydrodynamics

The object rotates at 450 rpm. What does the angular velocity of an object equal to?

• 47.1 rad/s

• 58.3 rad/s

• 6.28 rad/s

• 450 rad/s

The fluid velocity in a 5 cm diameter tube is 1.2 m / s. What will be the velocity of the liquid in a 3 cm diameter tube?

• 4.22 m/s

• 0.43 m/s

• 2.00 m/s

• 3.33 m/s

What is the change in the pressure of the water flowing in a horizontal pipe if the fluid velocity changes from 2 m/s to 5 m/s?

• 500 Pa

• 21000 Pa

• 10500 Pa

• 6000 Pa

The graph of the velocity for an object moving in a straight line is shown. What is the corresponding graph of displacement against time?

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A stone is dropped from the top of a tower of height 40 m. The stone falls from rest and air resistance is negligible.

What time is taken for the stone to fall the last 10 m to the ground?

• 0.38 s

• 1.4 s

• 2.5 s

• 2.9 s

Bernoulli princile states

• If the fluid velocity decreases, the pressure decreases.

• If the fluid velocity is increased, the pressure increases.

• If the fluid velocity decreases, the pressure does not change.

• If the fluid velocity increases, the pressure decreases.

A stone is thrown horizontally at a speed of 10 m/s from a tower 45 m high. What is the range of the stone (the distance from the base of the tower to the place where the stone fell)?

• 20 m

• 30 m

• 50 m

• 65 m

A stone is thrown horizontally at a speed of 10 m/s from a tower 45 m high. What is the final velocity of the stone at the moment it hits the ground?

• 31 m/s

• 29 m/s

• 10 m/s

• 46 m/s

A ball is released from the rest at time zero. After 1.0 s it bounces inelastically from a horisontal surface and rebounds, reaching the top of it first bounce after 1.5 s. What is the total displacement of the ball from its original position after 1.5 s?

• 1.25 m

• 3.75 m

• 5.00 m

• 6.25 m